The document provides a training guide for using The Geometer's Sketchpad software. It covers the layout and tools of the software including points, lines, circles, text, and custom tools. It then discusses how to accurately draw and edit objects, construct parallel/perpendicular lines, arcs/sectors, and transformations. The guide also covers measuring objects, graphs, actions/tables, animation, and sliders. It concludes with some lesson ideas utilizing the software's capabilities.
The document describes various line conventions used in technical drawings according to ANSI standards, including dark heavy lines to show outlines, light dashed lines for unseen features, section lines at 45 degrees to indicate cut areas, center lines of dashed and dotted patterns, dimension lines with arrowheads, broken lines for imaginary cuts, wavy lines to indicate hidden surfaces, removed center lines, and phantom lines made of long and short dashes for alternate positions, fitted parts, and repeated details.
This document provides an overview of technical drawing goals, materials, and techniques. It discusses the different types of drawings including orthographic, isometric, pictorial, axonometric, oblique, and perspective. Key aspects covered include types of lines used in drafting, lettering styles, guide lines, dimensions, and projection principles. The document serves as a basic introduction to technical drawing concepts, objectives, classifications, and methodologies.
This document describes the different types of lines used in technical drawings and sketches, known as the "alphabet of lines". It explains that lines have specific meanings based on their thickness, shape, and dash pattern. Some key line types include object lines for visible surfaces, hidden lines for non-visible surfaces, center lines, dimension lines with numeric values, and leader lines to connect dimensions to drawing features. The document provides examples of different line styles and their uses in technical drawings.
The document provides instructions for students to construct two triangles using Geometer's Sketchpad software. The first triangle should have angles of 40 and 75 degrees with an included side of 1.5 inches. The second triangle should have angles of 30 and 110 degrees with an included side of 2 inches. It also notes that for the next class period, item 3b should be changed to include angles of 2, 3, and 7 degrees. Students are assigned to prepare for a quiz the following day.
Geometer s sketchpad_tutorial_-_isosceles_trapezoidÖzgür Gültekin
This tutorial teaches how to construct an isosceles trapezoid in three steps: 1) draw a segment and point, then use tools to create a parallel line; 2) find the midpoint of the segment and draw a perpendicular line; 3) reflect a segment, find intersections, then hide objects to reveal the completed trapezoid.
This document discusses using the interactive geometry software GeoGebra in the geometry classroom. It provides an overview of GeoGebra's capabilities and describes how to access tutorial materials and example worksheets. Instructions are given on installing GeoGebra, modifying existing worksheets, and creating new worksheets. A list of introductory GeoGebra tutorials is also included.
Tutorial 1 - Computer Aided Design (Final Release)Charling Li
This document provides a tutorial on computer aided design (CAD) using SolidWorks. It begins with an overview of the fundamentals of CAD and engineering drawings. It then demonstrates how to use SolidWorks to model a sensor mount in 3D, including steps to extrude a base, cut features, add screw holes, and cut slots for sensors. The tutorial concludes by challenging readers to add fillets to smooth edges and encourages experimenting with CAD.
The document describes various line conventions used in technical drawings according to ANSI standards, including dark heavy lines to show outlines, light dashed lines for unseen features, section lines at 45 degrees to indicate cut areas, center lines of dashed and dotted patterns, dimension lines with arrowheads, broken lines for imaginary cuts, wavy lines to indicate hidden surfaces, removed center lines, and phantom lines made of long and short dashes for alternate positions, fitted parts, and repeated details.
This document provides an overview of technical drawing goals, materials, and techniques. It discusses the different types of drawings including orthographic, isometric, pictorial, axonometric, oblique, and perspective. Key aspects covered include types of lines used in drafting, lettering styles, guide lines, dimensions, and projection principles. The document serves as a basic introduction to technical drawing concepts, objectives, classifications, and methodologies.
This document describes the different types of lines used in technical drawings and sketches, known as the "alphabet of lines". It explains that lines have specific meanings based on their thickness, shape, and dash pattern. Some key line types include object lines for visible surfaces, hidden lines for non-visible surfaces, center lines, dimension lines with numeric values, and leader lines to connect dimensions to drawing features. The document provides examples of different line styles and their uses in technical drawings.
The document provides instructions for students to construct two triangles using Geometer's Sketchpad software. The first triangle should have angles of 40 and 75 degrees with an included side of 1.5 inches. The second triangle should have angles of 30 and 110 degrees with an included side of 2 inches. It also notes that for the next class period, item 3b should be changed to include angles of 2, 3, and 7 degrees. Students are assigned to prepare for a quiz the following day.
Geometer s sketchpad_tutorial_-_isosceles_trapezoidÖzgür Gültekin
This tutorial teaches how to construct an isosceles trapezoid in three steps: 1) draw a segment and point, then use tools to create a parallel line; 2) find the midpoint of the segment and draw a perpendicular line; 3) reflect a segment, find intersections, then hide objects to reveal the completed trapezoid.
This document discusses using the interactive geometry software GeoGebra in the geometry classroom. It provides an overview of GeoGebra's capabilities and describes how to access tutorial materials and example worksheets. Instructions are given on installing GeoGebra, modifying existing worksheets, and creating new worksheets. A list of introductory GeoGebra tutorials is also included.
Tutorial 1 - Computer Aided Design (Final Release)Charling Li
This document provides a tutorial on computer aided design (CAD) using SolidWorks. It begins with an overview of the fundamentals of CAD and engineering drawings. It then demonstrates how to use SolidWorks to model a sensor mount in 3D, including steps to extrude a base, cut features, add screw holes, and cut slots for sensors. The tutorial concludes by challenging readers to add fillets to smooth edges and encourages experimenting with CAD.
The document provides an overview of the new map browser's interface and tools. It describes the main components including the toolbar, toolboxes, layer list, search toolbox, and project toolbox. The toolboxes contain various tools for navigation, selection, markup, and analysis. The search toolbox allows querying layers by attributes, and viewing search results. Projects can be saved, opened, and bookmarks and maps exported for later use. The interface is customizable and aims to provide more functionality than previous versions.
The document provides instructions for drawing diagrams using software. It discusses how to use templates, symbols, connectors, and annotations to create diagrams quickly. It also describes how to draw basic elements like lines, circles, rectangles, and freeform shapes. Tips are provided throughout on using tools like grids, connectors, and dimensioning. Procedures in the online help are listed for additional reference.
The document provides an overview of the SketchUp interface and basic tools. It describes the SketchUp screen layout, including the drawing and editing tools, drawing axes, and status/prompts area. It also explains the value control box. The document outlines the basic drawing tools like line, rectangle, polygon, arc, and circle. It covers viewing tools for orbiting, panning, zooming. It also summarizes manipulation tools for selecting, erasing, measuring, rotating, scaling, and offsetting objects. Finally, it discusses annotation tools for adding text and dimensions.
This document provides instructions for a tutorial activity that uses parametric equations to model the distance traveled by sound and seismic waves generated by an elephant stomp. It defines variables for time (t), sound wave (DSW), and ground wave (DGW) and uses these to create parametric functions describing the distance traveled by each wave over 3 seconds. Graphs of the functions are generated and formatted to visually compare the distances. The tutorial then provides questions to calculate distances and time delays using the parametric models.
SolidWorks® helps you move through the design cycle clearer. With intuitive sketching tools, your team can
automatically dimension their sketches as they draw, for more accurate designs.
The document provides information on various commands in AutoCAD for drafting and modeling. It discusses commands for drawing basic geometry like lines, circles, arcs and polygons. It also covers modifying objects using commands like copy, move, rotate, mirror, offset, and array. Additional commands covered include trimming, extending, breaking, filleting, chamfering, and dimensioning. The document provides brief descriptions and procedures for using each command.
This document describes a workshop on using GeoGebra, a free interactive geometry, algebra, and calculus software. The workshop will introduce GeoGebra's capabilities and interface, provide examples of how it can be used to create interactive figures, simulations and randomized problems, and guide participants through exercises to familiarize themselves with GeoGebra's tools and functions. Participants will build their own ray diagram, projectile motion simulation, and curve graphing applet during the hands-on portion of the workshop. The overall goal is to acquaint users with GeoGebra's possibilities and basic usage.
Pro/ENGINEER is feature-based, associative solid modeling software that runs on the Microsoft Windows platform. It provides capabilities for solid modeling, assembly modeling, drafting, finite element analysis, and NC and tooling functions for mechanical engineers. Creo Elements/Pro is the updated name for Pro/ENGINEER. The document then provides brief descriptions of computer-aided design (CAD) and computer-aided manufacturing (CAM). CAD is used by engineers to create 2D and 3D drawings, while CAM uses computer control for manufacturing objects from those drawings.
The document discusses common 2D and 3D CAD commands. In 2D CAD, commands allow users to draw grids, shapes, layers, and perform actions like zooming, copying, rotating, scaling, and mirroring objects. 3D CAD allows creating wireframe, surface rendered, and photorealistic models and performing operations like combining, subtracting, and adding shapes. Key benefits of 3D CAD include producing realistic designs and orthographic views quickly without needing physical models.
Microsoft mathmatics step-by-step_guideAnang Anang
The document provides an overview of the key features and tools available in Microsoft Mathematics, including:
1) The calculator pad, worksheet tab for computations, and graphing tab for plotting graphs. Additional math tools include an equation solver, formulas library, and triangle solver.
2) Instructions for using the graphing calculator to evaluate expressions, solve equations either with buttons or ink input, and view step-by-step solutions.
3) Details on how to create graphs including plotting lines and functions, animating parameters, and creating 3D surface graphs which can be rotated to view from different angles.
SmartSketch is a desktop application for creating technical drawings, diagrams, schematics, and other designs. The document provides an overview of SmartSketch's features and how to get started using the software. It describes the user interface, templates for different industries, importing and exporting CAD files, and resources for learning SmartSketch. The document is intended to help new users understand SmartSketch's capabilities and how to navigate the interface.
The document discusses various tools and properties in Flash for creating and modifying flash documents. It describes how to access the document properties dialog box to change the stage size and color. It also summarizes the options in the document properties window like dimensions, background color, and frame rate. Finally, it provides details on tools like the line tool, pencil tool, pen tool, and eraser tool along with their options and how to use them.
This document provides a quick start guide for using the Graphmatica software to draw mathematical graphs and perform numerical and calculus operations on functions. It outlines how to change display settings like scale and colors, plot multiple graphs simultaneously, trace and find coordinates of points, zoom in and out, mark points, add labels, copy and save graphs, erase graphs, and use advanced calculus features to find roots, slopes, derivatives and integrals of functions graphed in the software.
This document provides an overview of the basic functions and tools in Adobe Illustrator CS6. It begins with an introduction to getting started in Illustrator and setting up documents. It then describes each tool in the toolbox and its functions. The document also covers topics like working with layers, making selections, creating shapes, inserting and formatting text, placing images, and more basic Illustrator skills. The tutorial is intended to teach beginners the essentials of navigating the Illustrator interface and using its core tools and features.
This document provides an overview of the basic tools and functions in Adobe Illustrator CS6. It includes a table of contents that lists topics such as setting up documents, using the toolbox and its tools, working with layers, selections, shapes, text, images, and other objects. The toolbox description section defines each tool's purpose and function for drawing, editing, and transforming vector graphics.
This document provides an overview of the basic tools and functions in Adobe Illustrator CS6. It includes a table of contents that lists topics such as setting up documents, using the toolbox and its tools, working with layers, selections, shapes, text, images, and other objects. The toolbox description section defines each tool's purpose and function for drawing, editing, and transforming vector graphics.
Solid Modeling Assignment EGR 201-100 Spring 2018 .docxwhitneyleman54422
Solid Modeling Assignment
EGR 201-100
Spring 2018
Extra Credit Value: Equal to 2 homework assignments or in-class quizzes.
Due Date: March 19th by Midnight.
Assignment:
1) Using CAD (computer aided design) software, reproduce the four technical drawings.
2) Complete the survey.
3) Submit documents by email to [email protected]
Note: if you have access to Solidworks or another program and wish to use it instead, then produce the
four technical drawings and turn them in for full credit. You don’t have to use FreeCAD.
Note: the survey is part of the grade, so make sure you fill it out.
Table of Contents
Purpose of this Assignment .................................................................................................... 2
Background on Solid Modeling ............................................................................................... 2
Software Installation ............................................................................................................. 3
Assignment ........................................................................................................................... 4
Survey ................................................................................................................................... 8
Tutorial and Creating Part 1 ................................................................................................... 9
Step One - Base ............................................................................................................................ 10
Step Two – Top Notches ............................................................................................................... 14
Step Three - Extrusion .................................................................................................................. 17
Step Four – Center Hole ................................................................................................................ 18
Remove Duplicated Volumes ........................................................................................................ 20
Produce Technical Drawing ........................................................................................................... 20
Purpose of this Assignment
By drawing 3D models and producing technical drawings, you will learn to interpret x,y,z coordinates on
engineering drawings, such as those found in the Engineering Statics textbook.
Background on Solid Modeling
CAD software generally fit into one of two categories:
Solid modeling - modeling solid shapes (volumes). Materials are clearly defined.
Surface modeling - modeling wireframes and surfaces, which are hollow.
Solid modeling is clearly useful if we want to investigate stresses and strains in our designs. You
can draw solid volumes, assign material properties (wood, brick, steel, glass, aluminum), and then
subject them to loads. Generally, most.
The document provides instructions for ordering more books or accessing training tutorials for Mastercam X6 Mill Level 1 by calling a phone number, visiting a website or contacting a Mastercam dealer. It also contains copyright information and disclaimers of warranties from the publisher, In-House Solutions Inc., for the Mastercam X6 Mill Level 1 Training Tutorial. The tutorial covers 10 lessons on how to use various toolpath strategies in Mastercam like contouring, pocketing, drilling and simulations.
Here are the steps to delete the construction lines:
1. Select Edit > Delete > Delete Entities
2. Select the two construction lines
3. Click the Delete Entities icon
4. Click the Repaint icon to refresh the screen
This will delete the selected lines in preparation for mirroring the geometry in the next step.
This document provides a training summary on AutoCAD. It begins with an introduction to AutoCAD, including what it is, who developed it, and its uses. It then covers the different versions of AutoCAD over time. The main content sections include explanations and exercises on how to get started with AutoCAD, how to draw basic shapes and edit objects, set up drawings, add dimensions, change object properties like color and line weight, and work with layers. Trainees are guided through hands-on practice with the various drawing, editing and formatting tools in AutoCAD.
High performance Serverless Java on AWS- GoTo Amsterdam 2024Vadym Kazulkin
Java is for many years one of the most popular programming languages, but it used to have hard times in the Serverless community. Java is known for its high cold start times and high memory footprint, comparing to other programming languages like Node.js and Python. In this talk I'll look at the general best practices and techniques we can use to decrease memory consumption, cold start times for Java Serverless development on AWS including GraalVM (Native Image) and AWS own offering SnapStart based on Firecracker microVM snapshot and restore and CRaC (Coordinated Restore at Checkpoint) runtime hooks. I'll also provide a lot of benchmarking on Lambda functions trying out various deployment package sizes, Lambda memory settings, Java compilation options and HTTP (a)synchronous clients and measure their impact on cold and warm start times.
How to Interpret Trends in the Kalyan Rajdhani Mix Chart.pdfChart Kalyan
A Mix Chart displays historical data of numbers in a graphical or tabular form. The Kalyan Rajdhani Mix Chart specifically shows the results of a sequence of numbers over different periods.
The document provides an overview of the new map browser's interface and tools. It describes the main components including the toolbar, toolboxes, layer list, search toolbox, and project toolbox. The toolboxes contain various tools for navigation, selection, markup, and analysis. The search toolbox allows querying layers by attributes, and viewing search results. Projects can be saved, opened, and bookmarks and maps exported for later use. The interface is customizable and aims to provide more functionality than previous versions.
The document provides instructions for drawing diagrams using software. It discusses how to use templates, symbols, connectors, and annotations to create diagrams quickly. It also describes how to draw basic elements like lines, circles, rectangles, and freeform shapes. Tips are provided throughout on using tools like grids, connectors, and dimensioning. Procedures in the online help are listed for additional reference.
The document provides an overview of the SketchUp interface and basic tools. It describes the SketchUp screen layout, including the drawing and editing tools, drawing axes, and status/prompts area. It also explains the value control box. The document outlines the basic drawing tools like line, rectangle, polygon, arc, and circle. It covers viewing tools for orbiting, panning, zooming. It also summarizes manipulation tools for selecting, erasing, measuring, rotating, scaling, and offsetting objects. Finally, it discusses annotation tools for adding text and dimensions.
This document provides instructions for a tutorial activity that uses parametric equations to model the distance traveled by sound and seismic waves generated by an elephant stomp. It defines variables for time (t), sound wave (DSW), and ground wave (DGW) and uses these to create parametric functions describing the distance traveled by each wave over 3 seconds. Graphs of the functions are generated and formatted to visually compare the distances. The tutorial then provides questions to calculate distances and time delays using the parametric models.
SolidWorks® helps you move through the design cycle clearer. With intuitive sketching tools, your team can
automatically dimension their sketches as they draw, for more accurate designs.
The document provides information on various commands in AutoCAD for drafting and modeling. It discusses commands for drawing basic geometry like lines, circles, arcs and polygons. It also covers modifying objects using commands like copy, move, rotate, mirror, offset, and array. Additional commands covered include trimming, extending, breaking, filleting, chamfering, and dimensioning. The document provides brief descriptions and procedures for using each command.
This document describes a workshop on using GeoGebra, a free interactive geometry, algebra, and calculus software. The workshop will introduce GeoGebra's capabilities and interface, provide examples of how it can be used to create interactive figures, simulations and randomized problems, and guide participants through exercises to familiarize themselves with GeoGebra's tools and functions. Participants will build their own ray diagram, projectile motion simulation, and curve graphing applet during the hands-on portion of the workshop. The overall goal is to acquaint users with GeoGebra's possibilities and basic usage.
Pro/ENGINEER is feature-based, associative solid modeling software that runs on the Microsoft Windows platform. It provides capabilities for solid modeling, assembly modeling, drafting, finite element analysis, and NC and tooling functions for mechanical engineers. Creo Elements/Pro is the updated name for Pro/ENGINEER. The document then provides brief descriptions of computer-aided design (CAD) and computer-aided manufacturing (CAM). CAD is used by engineers to create 2D and 3D drawings, while CAM uses computer control for manufacturing objects from those drawings.
The document discusses common 2D and 3D CAD commands. In 2D CAD, commands allow users to draw grids, shapes, layers, and perform actions like zooming, copying, rotating, scaling, and mirroring objects. 3D CAD allows creating wireframe, surface rendered, and photorealistic models and performing operations like combining, subtracting, and adding shapes. Key benefits of 3D CAD include producing realistic designs and orthographic views quickly without needing physical models.
Microsoft mathmatics step-by-step_guideAnang Anang
The document provides an overview of the key features and tools available in Microsoft Mathematics, including:
1) The calculator pad, worksheet tab for computations, and graphing tab for plotting graphs. Additional math tools include an equation solver, formulas library, and triangle solver.
2) Instructions for using the graphing calculator to evaluate expressions, solve equations either with buttons or ink input, and view step-by-step solutions.
3) Details on how to create graphs including plotting lines and functions, animating parameters, and creating 3D surface graphs which can be rotated to view from different angles.
SmartSketch is a desktop application for creating technical drawings, diagrams, schematics, and other designs. The document provides an overview of SmartSketch's features and how to get started using the software. It describes the user interface, templates for different industries, importing and exporting CAD files, and resources for learning SmartSketch. The document is intended to help new users understand SmartSketch's capabilities and how to navigate the interface.
The document discusses various tools and properties in Flash for creating and modifying flash documents. It describes how to access the document properties dialog box to change the stage size and color. It also summarizes the options in the document properties window like dimensions, background color, and frame rate. Finally, it provides details on tools like the line tool, pencil tool, pen tool, and eraser tool along with their options and how to use them.
This document provides a quick start guide for using the Graphmatica software to draw mathematical graphs and perform numerical and calculus operations on functions. It outlines how to change display settings like scale and colors, plot multiple graphs simultaneously, trace and find coordinates of points, zoom in and out, mark points, add labels, copy and save graphs, erase graphs, and use advanced calculus features to find roots, slopes, derivatives and integrals of functions graphed in the software.
This document provides an overview of the basic functions and tools in Adobe Illustrator CS6. It begins with an introduction to getting started in Illustrator and setting up documents. It then describes each tool in the toolbox and its functions. The document also covers topics like working with layers, making selections, creating shapes, inserting and formatting text, placing images, and more basic Illustrator skills. The tutorial is intended to teach beginners the essentials of navigating the Illustrator interface and using its core tools and features.
This document provides an overview of the basic tools and functions in Adobe Illustrator CS6. It includes a table of contents that lists topics such as setting up documents, using the toolbox and its tools, working with layers, selections, shapes, text, images, and other objects. The toolbox description section defines each tool's purpose and function for drawing, editing, and transforming vector graphics.
This document provides an overview of the basic tools and functions in Adobe Illustrator CS6. It includes a table of contents that lists topics such as setting up documents, using the toolbox and its tools, working with layers, selections, shapes, text, images, and other objects. The toolbox description section defines each tool's purpose and function for drawing, editing, and transforming vector graphics.
Solid Modeling Assignment EGR 201-100 Spring 2018 .docxwhitneyleman54422
Solid Modeling Assignment
EGR 201-100
Spring 2018
Extra Credit Value: Equal to 2 homework assignments or in-class quizzes.
Due Date: March 19th by Midnight.
Assignment:
1) Using CAD (computer aided design) software, reproduce the four technical drawings.
2) Complete the survey.
3) Submit documents by email to [email protected]
Note: if you have access to Solidworks or another program and wish to use it instead, then produce the
four technical drawings and turn them in for full credit. You don’t have to use FreeCAD.
Note: the survey is part of the grade, so make sure you fill it out.
Table of Contents
Purpose of this Assignment .................................................................................................... 2
Background on Solid Modeling ............................................................................................... 2
Software Installation ............................................................................................................. 3
Assignment ........................................................................................................................... 4
Survey ................................................................................................................................... 8
Tutorial and Creating Part 1 ................................................................................................... 9
Step One - Base ............................................................................................................................ 10
Step Two – Top Notches ............................................................................................................... 14
Step Three - Extrusion .................................................................................................................. 17
Step Four – Center Hole ................................................................................................................ 18
Remove Duplicated Volumes ........................................................................................................ 20
Produce Technical Drawing ........................................................................................................... 20
Purpose of this Assignment
By drawing 3D models and producing technical drawings, you will learn to interpret x,y,z coordinates on
engineering drawings, such as those found in the Engineering Statics textbook.
Background on Solid Modeling
CAD software generally fit into one of two categories:
Solid modeling - modeling solid shapes (volumes). Materials are clearly defined.
Surface modeling - modeling wireframes and surfaces, which are hollow.
Solid modeling is clearly useful if we want to investigate stresses and strains in our designs. You
can draw solid volumes, assign material properties (wood, brick, steel, glass, aluminum), and then
subject them to loads. Generally, most.
The document provides instructions for ordering more books or accessing training tutorials for Mastercam X6 Mill Level 1 by calling a phone number, visiting a website or contacting a Mastercam dealer. It also contains copyright information and disclaimers of warranties from the publisher, In-House Solutions Inc., for the Mastercam X6 Mill Level 1 Training Tutorial. The tutorial covers 10 lessons on how to use various toolpath strategies in Mastercam like contouring, pocketing, drilling and simulations.
Here are the steps to delete the construction lines:
1. Select Edit > Delete > Delete Entities
2. Select the two construction lines
3. Click the Delete Entities icon
4. Click the Repaint icon to refresh the screen
This will delete the selected lines in preparation for mirroring the geometry in the next step.
This document provides a training summary on AutoCAD. It begins with an introduction to AutoCAD, including what it is, who developed it, and its uses. It then covers the different versions of AutoCAD over time. The main content sections include explanations and exercises on how to get started with AutoCAD, how to draw basic shapes and edit objects, set up drawings, add dimensions, change object properties like color and line weight, and work with layers. Trainees are guided through hands-on practice with the various drawing, editing and formatting tools in AutoCAD.
High performance Serverless Java on AWS- GoTo Amsterdam 2024Vadym Kazulkin
Java is for many years one of the most popular programming languages, but it used to have hard times in the Serverless community. Java is known for its high cold start times and high memory footprint, comparing to other programming languages like Node.js and Python. In this talk I'll look at the general best practices and techniques we can use to decrease memory consumption, cold start times for Java Serverless development on AWS including GraalVM (Native Image) and AWS own offering SnapStart based on Firecracker microVM snapshot and restore and CRaC (Coordinated Restore at Checkpoint) runtime hooks. I'll also provide a lot of benchmarking on Lambda functions trying out various deployment package sizes, Lambda memory settings, Java compilation options and HTTP (a)synchronous clients and measure their impact on cold and warm start times.
How to Interpret Trends in the Kalyan Rajdhani Mix Chart.pdfChart Kalyan
A Mix Chart displays historical data of numbers in a graphical or tabular form. The Kalyan Rajdhani Mix Chart specifically shows the results of a sequence of numbers over different periods.
In the realm of cybersecurity, offensive security practices act as a critical shield. By simulating real-world attacks in a controlled environment, these techniques expose vulnerabilities before malicious actors can exploit them. This proactive approach allows manufacturers to identify and fix weaknesses, significantly enhancing system security.
This presentation delves into the development of a system designed to mimic Galileo's Open Service signal using software-defined radio (SDR) technology. We'll begin with a foundational overview of both Global Navigation Satellite Systems (GNSS) and the intricacies of digital signal processing.
The presentation culminates in a live demonstration. We'll showcase the manipulation of Galileo's Open Service pilot signal, simulating an attack on various software and hardware systems. This practical demonstration serves to highlight the potential consequences of unaddressed vulnerabilities, emphasizing the importance of offensive security practices in safeguarding critical infrastructure.
What is an RPA CoE? Session 1 – CoE VisionDianaGray10
In the first session, we will review the organization's vision and how this has an impact on the COE Structure.
Topics covered:
• The role of a steering committee
• How do the organization’s priorities determine CoE Structure?
Speaker:
Chris Bolin, Senior Intelligent Automation Architect Anika Systems
"Frontline Battles with DDoS: Best practices and Lessons Learned", Igor IvaniukFwdays
At this talk we will discuss DDoS protection tools and best practices, discuss network architectures and what AWS has to offer. Also, we will look into one of the largest DDoS attacks on Ukrainian infrastructure that happened in February 2022. We'll see, what techniques helped to keep the web resources available for Ukrainians and how AWS improved DDoS protection for all customers based on Ukraine experience
Must Know Postgres Extension for DBA and Developer during MigrationMydbops
Mydbops Opensource Database Meetup 16
Topic: Must-Know PostgreSQL Extensions for Developers and DBAs During Migration
Speaker: Deepak Mahto, Founder of DataCloudGaze Consulting
Date & Time: 8th June | 10 AM - 1 PM IST
Venue: Bangalore International Centre, Bangalore
Abstract: Discover how PostgreSQL extensions can be your secret weapon! This talk explores how key extensions enhance database capabilities and streamline the migration process for users moving from other relational databases like Oracle.
Key Takeaways:
* Learn about crucial extensions like oracle_fdw, pgtt, and pg_audit that ease migration complexities.
* Gain valuable strategies for implementing these extensions in PostgreSQL to achieve license freedom.
* Discover how these key extensions can empower both developers and DBAs during the migration process.
* Don't miss this chance to gain practical knowledge from an industry expert and stay updated on the latest open-source database trends.
Mydbops Managed Services specializes in taking the pain out of database management while optimizing performance. Since 2015, we have been providing top-notch support and assistance for the top three open-source databases: MySQL, MongoDB, and PostgreSQL.
Our team offers a wide range of services, including assistance, support, consulting, 24/7 operations, and expertise in all relevant technologies. We help organizations improve their database's performance, scalability, efficiency, and availability.
Contact us: info@mydbops.com
Visit: https://www.mydbops.com/
Follow us on LinkedIn: https://in.linkedin.com/company/mydbops
For more details and updates, please follow up the below links.
Meetup Page : https://www.meetup.com/mydbops-databa...
Twitter: https://twitter.com/mydbopsofficial
Blogs: https://www.mydbops.com/blog/
Facebook(Meta): https://www.facebook.com/mydbops/
Connector Corner: Seamlessly power UiPath Apps, GenAI with prebuilt connectorsDianaGray10
Join us to learn how UiPath Apps can directly and easily interact with prebuilt connectors via Integration Service--including Salesforce, ServiceNow, Open GenAI, and more.
The best part is you can achieve this without building a custom workflow! Say goodbye to the hassle of using separate automations to call APIs. By seamlessly integrating within App Studio, you can now easily streamline your workflow, while gaining direct access to our Connector Catalog of popular applications.
We’ll discuss and demo the benefits of UiPath Apps and connectors including:
Creating a compelling user experience for any software, without the limitations of APIs.
Accelerating the app creation process, saving time and effort
Enjoying high-performance CRUD (create, read, update, delete) operations, for
seamless data management.
Speakers:
Russell Alfeche, Technology Leader, RPA at qBotic and UiPath MVP
Charlie Greenberg, host
Northern Engraving | Nameplate Manufacturing Process - 2024Northern Engraving
Manufacturing custom quality metal nameplates and badges involves several standard operations. Processes include sheet prep, lithography, screening, coating, punch press and inspection. All decoration is completed in the flat sheet with adhesive and tooling operations following. The possibilities for creating unique durable nameplates are endless. How will you create your brand identity? We can help!
The Microsoft 365 Migration Tutorial For Beginner.pptxoperationspcvita
This presentation will help you understand the power of Microsoft 365. However, we have mentioned every productivity app included in Office 365. Additionally, we have suggested the migration situation related to Office 365 and how we can help you.
You can also read: https://www.systoolsgroup.com/updates/office-365-tenant-to-tenant-migration-step-by-step-complete-guide/
LF Energy Webinar: Carbon Data Specifications: Mechanisms to Improve Data Acc...DanBrown980551
This LF Energy webinar took place June 20, 2024. It featured:
-Alex Thornton, LF Energy
-Hallie Cramer, Google
-Daniel Roesler, UtilityAPI
-Henry Richardson, WattTime
In response to the urgency and scale required to effectively address climate change, open source solutions offer significant potential for driving innovation and progress. Currently, there is a growing demand for standardization and interoperability in energy data and modeling. Open source standards and specifications within the energy sector can also alleviate challenges associated with data fragmentation, transparency, and accessibility. At the same time, it is crucial to consider privacy and security concerns throughout the development of open source platforms.
This webinar will delve into the motivations behind establishing LF Energy’s Carbon Data Specification Consortium. It will provide an overview of the draft specifications and the ongoing progress made by the respective working groups.
Three primary specifications will be discussed:
-Discovery and client registration, emphasizing transparent processes and secure and private access
-Customer data, centering around customer tariffs, bills, energy usage, and full consumption disclosure
-Power systems data, focusing on grid data, inclusive of transmission and distribution networks, generation, intergrid power flows, and market settlement data
zkStudyClub - LatticeFold: A Lattice-based Folding Scheme and its Application...Alex Pruden
Folding is a recent technique for building efficient recursive SNARKs. Several elegant folding protocols have been proposed, such as Nova, Supernova, Hypernova, Protostar, and others. However, all of them rely on an additively homomorphic commitment scheme based on discrete log, and are therefore not post-quantum secure. In this work we present LatticeFold, the first lattice-based folding protocol based on the Module SIS problem. This folding protocol naturally leads to an efficient recursive lattice-based SNARK and an efficient PCD scheme. LatticeFold supports folding low-degree relations, such as R1CS, as well as high-degree relations, such as CCS. The key challenge is to construct a secure folding protocol that works with the Ajtai commitment scheme. The difficulty, is ensuring that extracted witnesses are low norm through many rounds of folding. We present a novel technique using the sumcheck protocol to ensure that extracted witnesses are always low norm no matter how many rounds of folding are used. Our evaluation of the final proof system suggests that it is as performant as Hypernova, while providing post-quantum security.
Paper Link: https://eprint.iacr.org/2024/257
Session 1 - Intro to Robotic Process Automation.pdfUiPathCommunity
👉 Check out our full 'Africa Series - Automation Student Developers (EN)' page to register for the full program:
https://bit.ly/Automation_Student_Kickstart
In this session, we shall introduce you to the world of automation, the UiPath Platform, and guide you on how to install and setup UiPath Studio on your Windows PC.
📕 Detailed agenda:
What is RPA? Benefits of RPA?
RPA Applications
The UiPath End-to-End Automation Platform
UiPath Studio CE Installation and Setup
💻 Extra training through UiPath Academy:
Introduction to Automation
UiPath Business Automation Platform
Explore automation development with UiPath Studio
👉 Register here for our upcoming Session 2 on June 20: Introduction to UiPath Studio Fundamentals: https://community.uipath.com/events/details/uipath-lagos-presents-session-2-introduction-to-uipath-studio-fundamentals/
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Freshworks creates AI-boosted business software that helps employees work more efficiently and effectively. Managing data across multiple RDBMS and NoSQL databases was already a challenge at their current scale. To prepare for 10X growth, they knew it was time to rethink their database strategy. Learn how they architected a solution that would simplify scaling while keeping costs under control.
Introduction of Cybersecurity with OSS at Code Europe 2024Hiroshi SHIBATA
I develop the Ruby programming language, RubyGems, and Bundler, which are package managers for Ruby. Today, I will introduce how to enhance the security of your application using open-source software (OSS) examples from Ruby and RubyGems.
The first topic is CVE (Common Vulnerabilities and Exposures). I have published CVEs many times. But what exactly is a CVE? I'll provide a basic understanding of CVEs and explain how to detect and handle vulnerabilities in OSS.
Next, let's discuss package managers. Package managers play a critical role in the OSS ecosystem. I'll explain how to manage library dependencies in your application.
I'll share insights into how the Ruby and RubyGems core team works to keep our ecosystem safe. By the end of this talk, you'll have a better understanding of how to safeguard your code.
AppSec PNW: Android and iOS Application Security with MobSFAjin Abraham
Mobile Security Framework - MobSF is a free and open source automated mobile application security testing environment designed to help security engineers, researchers, developers, and penetration testers to identify security vulnerabilities, malicious behaviours and privacy concerns in mobile applications using static and dynamic analysis. It supports all the popular mobile application binaries and source code formats built for Android and iOS devices. In addition to automated security assessment, it also offers an interactive testing environment to build and execute scenario based test/fuzz cases against the application.
This talk covers:
Using MobSF for static analysis of mobile applications.
Interactive dynamic security assessment of Android and iOS applications.
Solving Mobile app CTF challenges.
Reverse engineering and runtime analysis of Mobile malware.
How to shift left and integrate MobSF/mobsfscan SAST and DAST in your build pipeline.
2. RM Math Framework Edition powered by Kaleidos:
Training Guide — The Geometer’s Sketchpad® 2
3. Contents
Introduction ..................................................................................................................5
Layout ...........................................................................................................................5
Tool Box buttons.....................................................................................................................6
Point Tool ..............................................................................................................................6
Circle Tool .............................................................................................................................6
Line Tool................................................................................................................................6
Text Tool................................................................................................................................7
Text boxes ..............................................................................................................................7
Custom Tool ..........................................................................................................................9
Measurement Accuracy...............................................................................................11
Drawing ......................................................................................................................13
Lines.................................................................................................................................... 13
Circles ................................................................................................................................. 13
Editing .........................................................................................................................15
Undoing .............................................................................................................................. 15
Deleting............................................................................................................................... 15
Hiding Lines or Points............................................................................................................ 15
Parallel and Perpendicular Lines ...............................................................................17
Constructing Interiors and Changing Colors............................................................................ 18
Lines.................................................................................................................................... 19
Measuring Angles ................................................................................................................. 19
To Change Labels................................................................................................................. 20
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Training Guide — The Geometer’s Sketchpad® 3
4. Arcs and Sectors ......................................................................................................... 21
Arcs .....................................................................................................................................21
Sectors .................................................................................................................................22
Arc/Sector Angle...................................................................................................................22
Arc Length ............................................................................................................................22
Transformations ......................................................................................................... 23
Translation: ..........................................................................................................................23
Rotation: ..............................................................................................................................23
Reflection: ............................................................................................................................24
Enlargement: ........................................................................................................................24
Graphs........................................................................................................................ 25
Grid Forms...........................................................................................................................25
Adjusting the scale on the axes...............................................................................................25
Plotting a graph ....................................................................................................................25
Plotting Derivatives ................................................................................................................26
Trigonometric Functions.........................................................................................................27
Plotting Coordinates..............................................................................................................28
Action Buttons and Tables.......................................................................................... 29
Hide and Show Buttons..........................................................................................................29
Tables..................................................................................................................................30
Animation Buttons...................................................................................................... 31
Sliders......................................................................................................................... 32
Some Simple Ideas for use in Lessons ....................................................................... 32
RM Math Framework Edition powered by Kaleidos:
Training Guide — The Geometer’s Sketchpad® 4
5. Introduction
The Geometer’s Sketchpad® (GSP) is a powerful geometry tool that can be used at many different
levels. The RM Math Framework Edition curriculum includes a range of activities and content pieces in
which most of the basic functions of this exciting application are utilized. You can use the Geometer’s
Sketchpad tools to create your own activities, which, in a very visual way, will help pupils learn about
and to dynamically test geometric concepts.
To load Geometer’s Sketchpad go to the Start button and click on Programs then GSP v4.05
(note if on a network, check with your administrator where GSP is located). This will open the basic
screen. Maximize this window to ensure you have the full amount of drawing space.
Layout
Across the top you have the Menu Bar
.
Down the left-hand side there is
a toolbox.
The functions of these tools are
explained below.
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6. Tool Box buttons
Select tool (and translate)
Point tool
Circle tool
Line tool
Text tool
Custom Tool
Select Tool
This is used to select and deselect objects.
It is also used when switching from one tool to another or to stop another drawing tool being active.
Point Tool
The point tool, quite simply, allows you to draw points.
Circle Tool
This is used for drawing circles. Circles will be drawn with a center and a point on the circumference.
To draw a circle, touch where you want the center of the circle to be and drag out from there.
Line Tool
This tool has more than one option – hence the little triangle in
the bottom corner. Holding down on this triangle reveals the
full functionality
In geometry, a line is defined with infinite length. If you want to draw a line segment
between 2 points, you would use the first of the 3 line-drawing options, which is the default
option.
To draw a line segment, click on this tool, click the starting point of your line segment and drag to
where you want it to end.
The other two line tools are the ray – a half line going to infinity in one direction
and a line – a line going to infinity in both directions.
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7. Text Tool
You can use this tool to label points, lines and circles, or to open up a text box to allow you to write
free text.
To label a point, click on the text tool then click on the point. If you do this for subsequent points, they
will be labeled in alphabetical order, with capital letters, which is mathematically correct. It is also
possible to have points labeled automatically, using the edit menu and setting the text option within
preferences (to do this for all new points. Lines are labeled in small letters. This is done by selecting
the text tool and clicking on the line.
Text boxes
To create a text box, select the text tool then double click on the page. You can type in any text from
the keyboard. You can use the bottom toolbar to alter the font type, size or color.
Another way to change the size of text is to use ALT and > to increase it, and ALT and < to decrease
it. You can also change the size via the Text palette from the Display menu.
Clicking on gives you mathematical symbols
and allows you to type fractions, square roots, etc.
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8. For example:
The text toolbar can be automatically displayed by going to the Display menu and selecting Show
Text Palette.
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9. Custom Tool
This is the final drawing tool found on the left hand side of the screen and can be used to produce a
copy of a GSP image or construction without having to continually reproduce it from scratch.
Example: Creating a custom tool which will draw an equilateral triangle.
Accurately construct an equilateral triangle
and then hide the construction circles.
Click on the Custom
Tool button and
choose Create New
Custom Tool
Give the Tool a name
(i.e. Equilateral Triangle)
then click on OK.
Now whenever an equilateral
triangle is needed, click on the
custom tool button and choose
Equilateral Triangle.
Then click on the screen to drag
out a triangle orienting and
sizing it to meet your
requirements.
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11. Measurement Accuracy
It is important to set the correct accuracy for your measurements before you begin. This applies to
lengths, angles, co-ordinate points, ratios and slopes amongst others.
On the menu bar, select Edit.
Choose Preferences… at the
bottom of the list.
In the box that appears, choose
the accuracies you’d like.
Tick Apply to New Sketches if
you want to use these settings
again.
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Training Guide — The Geometer’s Sketchpad® 12
13. Drawing
Lines
To draw a line, click on the line (segment) tool in the toolbox and click and drag the line. This will
draw a line segment with two end points. If you want to draw closed shapes, then start the line at the
end of the previous one (e.g. over point B). Ensure that the 2 line segments are locked together; point
B should go turquoise.
If you want to move the end
points, click the Select button on
the toolbox (top tool) and click
and drag the points to their new
position.
If you want to move the whole
line, click on the body of the line
then click and drag to the new
position.
Circles
To draw a circle, click on the circle button on the toolbox, then click where you want the center of the
circle to be and drag the mouse to create the circle to whatever size you like.
If you want to change the size of
the circle, click on the Select
tool then click and drag the point
on the circumference (point P in
this diagram)
To move the whole circle,
keeping the size the same, click
the circumference (not at point P
though) and drag the circle to
where you want it to go.
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15. Editing
Undoing
If you want to undo actions, click on the Edit menu and choose Undo (last action) from the menu. If
you need to undo the last few actions, repeat this. You can go forward again by using Redo from the
same menu.
Deleting
There are a few different ways to delete objects that you have drawn:
1. Highlight the object(s) by clicking on them, then hit the Delete button on the keyboard
2. Highlight the object(s) by clicking on them, then choose Cut from the Edit menu.
If you want to delete everything on the page, choose Select All from the Edit menu and then Cut or
Delete it all.
Hiding Lines or Points
Sometimes after you have constructed a line or point you will want to hide it, for example, if it was
only required for initial construction purposes.
To do this, select the line(s) or
point(s) you wish to hide.
Go to the Display menu and
select Hide Perpendicular
Line (or Hide Line
Segment, Hide Point, Hide
Circle, etc. – the options will
change depending on the
object you have highlighted).
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16. RM Math Framework Edition powered by Kaleidos:
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17. Parallel and Perpendicular Lines
For some shapes or constructions you may want to construct parallel or perpendicular lines.
To draw a line parallel to another line, through a
specified point:
Draw a line segment
Draw a point
Select the point and the line
From the Construct menu, select Parallel Line
This will draw an infinite line, parallel to your
original, through the point you selected.
To construct a perpendicular line, repeat as above,
but select Perpendicular Line from the
Construct menu.
You can use parallel and perpendicular lines to help construct perfect squares and rectangles.
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18. Constructing Interiors and Changing Colors
Draw a shape using the Line
Segment tool. (You can also use this
method if you are drawing a circle.)
To create a color fill for the shape, first
use the select tool and click on the
vertices, going round them in order.
(For a circle, select the circumference)
In this example, on the Construct
menu select Quadrilateral Interior
(this would say Triangle Interior,
Polygon Interior, Circle Interior,
etc., as appropriate).
You will then see the shape colored in
with diagonal lines over it. The shading
indicates the shape is selected. To stop
the shape being selected, click outside
it.
If you wish to change the color of the
shape, select the shape then go to the
Display menu and select Color. Pick
a color of your choice.
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19. Lines
You can alter the color of a line and change its thickness.
Select the line.
Go to the Display menu and
choose Color to change its color.
Choose Line Width and choose
from Thin, Thick or Dashed.
Measuring Angles
Use the Line segment tool to
draw two lines to form an angle
Highlight the three points of the
angle, ensuring that the vertex is
highlighted second.
From the Measure menu
select Angle.
The angle measurement will
then appear on the screen.
Change the label if you want
using the text tool (see below).
Moving the lines or end points
of the angle will change the
displayed measurement.
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20. To Change Labels
Click on the Text Tool.
Double click on the label.
In the box that appears, type in the text
for the new label and click OK.
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21. Arcs and Sectors
Arcs
To construct and arc, first draw a circle. A
point will automatically be placed on the
circumference.
Using the Point Tool, place another point
on the circumference. Ensure that the point
is locked onto the circumference (i.e. when
you place the point, the circle should go
turquoise).
Using the Select tool, deselect everything
by clicking on the white screen. Highlight
the points on the circumference in a
counter-clockwise direction and then
highlight the circle itself.
Select the Construct menu followed by
Arc on a Circle.
Deselect everything and
then highlight just the circle.
Select the Display menu
and then Hide Circle.
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22. Sectors
Having created an arc, draw in radii
to form the sector.
Highlight the arc.
On the Construct menu choose
Arc Interior, followed by Arc
Sector. The sector will now be
colored in.
Arc/Sector Angle
• Highlight the Arc.
• Select the Measure menu followed by Arc Angle.
Arc Length
• Highlight the Arc.
• Select the Measure menu followed by Arc Length.
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23. Transformations
There are four basic transformations: translation, rotation, reflection and enlargement (or dilation as
it is called in GSP).
Translation:
On the Graph menu choose Grid Form
followed by Square Grid.
Draw a shape on the grid.
Highlight the whole shape – lines and
points.
On the Transform menu choose
Translation. Click in the circle next to
Rectangular and type in the column
vector. You’ll see a shadow of where the
shape will move to. Click Translate.
Rotation: To rotate an object, double click
the point about which you want to
rotate the object. It will ‘flash’ at
you. You can also achieve this by
single clicking the point, going to
the Transform menu and
choosing Mark Center.
Now select all the objects to be
rotated.
From the Transform menu choose
Rotate.
Type in the angle of rotation. You
will see a shadow of where the
shape will finish after the rotation.
Click OK.
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24. Reflection:
To Reflect objects you need to define a
mirror line. To do this, either double click
the line (it will ‘flash’ at you) or select the
line and from the Transform menu select
Mark Mirror.
Now select the object(s) to be reflected and
then from the Transform menu select
Reflect.
Enlargement:
To enlarge an object, double click the
point that you wish to mark as a
center of enlargement - it will ‘flash’
at you. You can also achieve this by
single clicking the point, going to the
Transform menu and choosing
Mark Center.
Select all the objects to be enlarged.
From the Transform menu choose
Dilate.
Type in the ratio to enlarge by, then
click on Dilate. Notice the image
appears before OK is clicked.
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25. Graphs
Grid Forms
There are three grid forms: square, rectangular and polar. To choose a grid, select the Graph menu
followed by Grid Form and then choose one of the 3 available grids.
Adjusting the scale on the axes
For Square Grids, there is a red point on the x-axis. Select this point and drag it to the left or right
to resize the x and y-axis concurrently.
For a Rectangular Grid it is possible to resize the x and y-axis independently as there is a movable
red point on each axis.
Plotting a graph
From the Graph menu choose a grid form and resize the axes as appropriate. Select the Graph
menu followed by Plot New Function, then using the keypad provided type in the relevant function
then click OK. Your graph is plotted and the function displayed.
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26. Plotting Derivatives
When you draw a graph, the function appears on the screen, for example f(x) =x3.
To find the derivative of a function,
right-click on the function and choose
Derivative.
The derivative of the function will
appear directly below the original
function.
To plot the graph of the
derivative, right click on
the derivative formula
and choose Plot
Function.
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27. Trigonometric Functions
To plot a trigonometric function, follow the instructions above and when typing in the function, click
on the Functions button and select from the list. Remember to resize the axes appropriately before
plotting the function.
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28. Plotting Coordinates
On the Graph menu choose an
appropriate grid form.
Again from the Graph menu,
select Plot Points.
Type in the coordinates of the point
required and then click Plot.
To label the point with its
coordinates, highlight the
point.
From the Measure menu
select Coordinates.
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29. Action Buttons and Tables
Hide and Show Buttons
In this example, a triangle has been drawn, all three angles have been measured, and the sum of the
angles has been calculated using the calculation facility in the Measure menu.
To create a Hide/Show button for
the measurements and the sum,
highlight all three measurements and
the sum of the angles.
From the Edit menu select Action
Buttons, followed by Hide/Show.
The measurements can now be
hidden by clicking on:
Hide Angle Measurements
D The triangle can then be
resized with the
E measurements hidden.
Show A ngle Me asurements
Use the Show Angle
Measurements button to
reveal the new
F
measurements.
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30. Tables
To tabulate the results from
the above example,
highlight the 3 angle
measures and their sum.
From the Graph menu
select Tabulate.
Resize the triangle to adjust
the angle sizes.
To capture the new
measurements in the table,
simply double click on the
table and it will update.
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31. Animation Buttons
In this example, a circle, and then a diameter AC, have been drawn, and a point B has then been
placed on the circumference. Point B has been joined to points A and C by line segments to form
triangle ABC. Angle B has then been measured.
We can animate point B so that it moves
around the circumference.
To do this, highlight point B.
From the Edit menu select Action Buttons,
followed by Animation.
Choose the direction and speed then click
OK.
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32. Sliders
It is useful to construct a slider for controlling a numeric value. For example, when exploring straight-
line graphs (y = mx + c) it may be useful to create a slider to vary the slope and the y- intercept.
To set up a slider for the slope m:
Select a rectangular grid from the Graph menu
Draw an infinite horizontal line
Label the two points on the line A and B
Put a point somewhere between A and B. Label it C
Highlight points A, B and C in that order
From the Measure menu select Ratio
Select the text tool and double click on the ratio measurement. Label it m
Draw a line segment between A and C
Click on the infinite line and point B and hide them
By moving point C to the left and right this now changes the value of m
A slider could also be created for c, the y-intercept value.
To use this ratio as the value of m when plotting the graph of y = mx+c, choose Plot New
Function from the Graph menu. When typing in the function, click on the label box ‘m’, then on the
key pad type * x + then click on the label box ‘c’ and finally click on OK. As points C and F are
moved, so the slope and intercept will change.
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33. Some Simple Ideas for use in Lessons
To draw a circle and measure
its radius, circumference and
area, draw a circle using the
Circle Tool from the left-hand
toolbar.
Deselect the circle (click the
select arrow and click anywhere
outside the circle) and then use
the Line Segment tool to
draw in a radius.
Select the Measure menu on
the top menu bar and choose
Length.
The measurement appears in
the top left corner. You can
drag this anywhere on the
page.
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34. To change the label, click the
text tool on the right-hand
menu.
Double click on the label.
Type in your preferred labeling
and click OK.
You can also alter the size of the text or
its color.
Click on the text tool and double click
anywhere on the page. This brings up
the text toolbar at the bottom of the
page. You can also do this by going to
the Display menu and select Show
Text Palette.
Select the text box that has the radius
measurement. Choose a text size and
color using the options on the text
toolbar. You can also choose a font
and make it bold or italic.
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35. To measure the circumference
of the circle, highlight the
circumference and ensure that
nothing else is highlighted (e.g.
the radius measurement box).
Click Measure on the menu
bar and choose
Circumference.
Similarly, you could choose
Area to measure the circle’s
area.
If you now drag the point on the
circumference to change the
size of the circle, the
measurements will
automatically change.
For tangents to circles,
draw a circle and draw in
a radius (don’t draw the
radius to the point that
appears on the
circumference though).
Highlight the radius and
the point where the radius
meets the circumference.
Click on the Construct
menu and select
Perpendicular Line.
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36. Draw a point somewhere on the
perpendicular line.
Select that point, the point
where the radius meets the
tangent, and the center of the
circle.
Click the Measure option on
the menu bar and select
Angle.
You can change the label box if
you wish.
You can now animate the tangent so that it moves around the circle. This will allow pupils to see that
the angle doesn’t change. To do this:
• Highlight the point where the radius meets the tangent (ensure nothing else is highlighted).
• On the Display menu select Animate Point.
The tangent now moves round the circle. You can pause, slow down, or speed up the animation using
the Motion Controller.
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37. To construct circle sectors, draw
a circle and draw in two radii to
form a sector.
Draw a point on the arc within
the sector.
Select the 3 points in the sector,
in order.
On the Construct menu
choose Arc Through 3
Points.
Highlight the arc by double
clicking on it.
From the Measure menu
you can choose to measure
the Arc Angle or Arc
Length.
To color the sector, highlight
the arc and from the
Construct menu choose Arc
Interior then Arc Sector.
If you want to change the color
of the sector, click on it and
from the Display menu choose
Color.
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38. Use the Line segment tool to
draw two lines to form an
angle.
Highlight the three points of the
angle, ensuring that the vertex is
highlighted second.
From the Measure menu
select Angle.
The angle measurement will
then appear on the screen.
Change the label if you want
using the text tool.
Moving the lines or end points
of the angle will change the
displayed measurement.
You could use this feature to measure angles in triangles in order to explore, for example, the sum of
the angles in a triangle.
Measure each of the angles in the
triangle.
From the Measure menu select
Calculate.
Click on the measurement of one of
the angles and on the calculator,
click +. Click on the next angle
measurement and click +. Click
on the third angle measurement
and click OK.
The sum of the angles appears on
screen.
You can now drag the triangle to create different-sized angles and repeat the above process to show
that the sum of the angles is still 180 degrees.
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39. Open a Square Grid from the
Graph menu.
From the Graph menu select
Snap Points.
Use line segment tool to draw a
triangle in the top right quadrant.
Highlight the vertices and from the
Construct menu select Triangle
Interior.
Select the vertices and from the Measure menu select Coordinates. The vertices are
now labeled with the coordinates shown.
Double click on the y-axis to set this up as your mirror line (it will ‘flash’ at you when you
do this).
Select the triangle and from the Transform menu choose Reflect.
Your triangle will be reflected. You can change its color if you wish, using the Display
menu.
Set up a diagram with a triangle, as
described above.
Double click the Origin to set the
origin as the center of rotation.
Select the triangle, then from the
Transform menu select Rotate.
Choose the angle you wish to rotate
by. Note: rotations are counter-
clockwise. Choose a negative angle
to create a clockwise rotation.
Click Rotate.
Your rotated triangle is plotted on the
diagram.
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Training Guide — The Geometer’s Sketchpad® 39
40. To create a right triangle, draw To measure the sides, select a side and
a line segment. from the Measure menu select Length.
(You can change the label if you wish once
Select one end point of the line and it’s displayed.)
the line itself and from the
Construct menu choose Repeat this for all three sides.
Perpendicular Line.
Select the label displaying the measurement
On top of the perpendicular line, of the hypotenuse.
draw a line segment from the end
point of your initial line. From the Edit menu select Action
Select the perpendicular line and Buttons, then select Hide/Show.
from the Display menu select
Hide Perpendicular Line. A Hide button is created. Clicking on this
will hide your measurement. The button
Use a line segment to create the then changes to Show Measurement.
third side of your triangle. Clicking on it now will reveal the
Measure the right angle. measurement again.
Trigonometry in non-right-angles
You can select everything and copy and paste it, to save having to repeat the
process for other triangles. You can then re-size the copied triangles to create
additional Pythagoras’ Theorem questions. You could do a similar thing using
angle measurements when studying right-angle trigonometry.
RM Math Framework Edition powered by Kaleidos:
Training Guide — The Geometer’s Sketchpad® 40
41. Geometer’s Sketchpad is a very effective tool for teaching the Sine Rule, Cosine Rule and
the Area of a Triangle.
For example, for the Sine Rule, draw a triangle using line segments.
Measure two angles – select the 3 points of the angle and choose Angles from the Measure
menu.
Measure one side by selecting the side and choosing Length from the Measure menu.
You can measure the length of the side you wish to calculate, then hide its length by selecting
the measurement and from the Edit menu choose Action Buttons, then Hide/Show.
Clicking the Hide button that is then created will make the measurement disappear. Click the
Show button to make it reappear.
The triangle can be re-sized to create a different problem.
Examples for the Cosine Rule can be created in a similar way.
RM Math Framework Edition powered by Kaleidos:
Training Guide — The Geometer’s Sketchpad® 41