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This document provides teaching and learning resources on geometrical constructions. It defines various 2D shapes like polygons, regular polygons, and irregular polygons. It lists the names of polygons according to the number of sides. It also describes 3D solids like cubes, cylinders, prisms, and pyramids. For cubes and cylinders, it provides the formulas to calculate their volume and surface area. It includes examples and diagrams of different types of prisms and pyramids. The resources were prepared by a group consisting of Vanesri Kasi, Yamuna Sandaran, and Tinagaran Magesparan for computer construction.

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MT2313P5

This document provides information and resources for teaching geometrical constructions, including:
1) It defines common 2D and 3D shapes such as polygons, cubes, cylinders, prisms, and pyramids. Regular and irregular polygons are classified.
2) Formulas for calculating the volume and surface area of cubes, cylinders, and prisms are presented.
3) The document contains resources for computer-based construction of these shapes using software.

MT2313P5

This document provides teaching and learning resources on geometrical constructions. It includes definitions and computer constructions of various 2D and 3D shapes. For 2D shapes, it defines polygons, classifications of polygons by number of sides, and provides examples of triangle, square, pentagon, and hexagon constructions. For 3D solids, it defines cube, cylinder, prism, pyramid, truncated cube and truncated tetrahedron. It provides their properties and computer constructions. The resources are intended to help teach students about basic geometrical concepts and shapes.

Polygons.pptx GRADE 5 MATHEMATICS - 3RD QUARTER

This document discusses polygons and their properties. It defines a polygon as a closed 2D shape made of three or more straight line segments. Polygons are named based on the number of sides, such as triangles having 3 sides, quadrilaterals having 4 sides, and pentagons having 5 sides. Regular polygons have equal side lengths and equal interior angles, while irregular polygons do not have these properties. The document provides instructions for drawing regular polygons using a protractor and discusses congruent polygons as those with equal corresponding side lengths and angles.

Mathematics for Engineers - Plane and Solid Geometry

In this module, you will learn about formulas of different geometrical shapes in 2 and 3 dimensions. It has practice problems with solutions so that you can learn about how certain problems are to be approached and to be solved.

Geometry In The Real World

This document defines and provides examples of basic geometric shapes including points, lines, planes, angles, triangles, squares, rectangles, circles, cylinders, spheres, pyramids and more. Each shape is defined and an everyday example is given to illustrate how the shape appears in the real world, such as street lines, TV screens, buildings, and dice. The examples show how the simple geometric properties make the shapes useful for structures, maps, and other applications.

Geometry In The Real World

This document defines and provides examples of basic geometric shapes including points, lines, planes, angles, triangles, squares, rectangles, circles, cylinders, spheres, pyramids and more. Each shape is defined and an everyday example is given to illustrate how the shape appears in the real world, such as street lines, TV screens, buildings, and dice. The examples show how the simple geometric properties relate to practical applications.

Geometry In The Real World

This document defines and provides examples of basic geometric shapes including points, lines, planes, angles, triangles, squares, rectangles, circles, cylinders, spheres, pyramids and more. Each shape is defined and an everyday example is given to illustrate how the shape appears in the real world, such as street lines, TV screens, buildings, and dice. The examples show how the simple geometric properties make the shapes useful for structures, maps, and other applications.

Geometry In The Real World

This document defines and provides examples of basic geometric shapes including points, lines, planes, angles, triangles, squares, rectangles, circles, cylinders, spheres, pyramids and more. Each shape is defined and an everyday example is given to illustrate how the shape appears in the real world, such as street lines, TV screens, buildings, and dice. The examples show how the simple geometric properties make the shapes useful for structures, maps, and other applications.

MT2313P5

This document provides information and resources for teaching geometrical constructions, including:
1) It defines common 2D and 3D shapes such as polygons, cubes, cylinders, prisms, and pyramids. Regular and irregular polygons are classified.
2) Formulas for calculating the volume and surface area of cubes, cylinders, and prisms are presented.
3) The document contains resources for computer-based construction of these shapes using software.

MT2313P5

This document provides teaching and learning resources on geometrical constructions. It includes definitions and computer constructions of various 2D and 3D shapes. For 2D shapes, it defines polygons, classifications of polygons by number of sides, and provides examples of triangle, square, pentagon, and hexagon constructions. For 3D solids, it defines cube, cylinder, prism, pyramid, truncated cube and truncated tetrahedron. It provides their properties and computer constructions. The resources are intended to help teach students about basic geometrical concepts and shapes.

Polygons.pptx GRADE 5 MATHEMATICS - 3RD QUARTER

This document discusses polygons and their properties. It defines a polygon as a closed 2D shape made of three or more straight line segments. Polygons are named based on the number of sides, such as triangles having 3 sides, quadrilaterals having 4 sides, and pentagons having 5 sides. Regular polygons have equal side lengths and equal interior angles, while irregular polygons do not have these properties. The document provides instructions for drawing regular polygons using a protractor and discusses congruent polygons as those with equal corresponding side lengths and angles.

Mathematics for Engineers - Plane and Solid Geometry

In this module, you will learn about formulas of different geometrical shapes in 2 and 3 dimensions. It has practice problems with solutions so that you can learn about how certain problems are to be approached and to be solved.

Geometry In The Real World

This document defines and provides examples of basic geometric shapes including points, lines, planes, angles, triangles, squares, rectangles, circles, cylinders, spheres, pyramids and more. Each shape is defined and an everyday example is given to illustrate how the shape appears in the real world, such as street lines, TV screens, buildings, and dice. The examples show how the simple geometric properties relate to practical applications.

Grade 1 2-D and 3-Dimensional Shapes.pptx

This document introduces two-dimensional and three-dimensional shapes to grade 1 learners. It defines two-dimensional shapes as those that have length and width but no thickness, such as lines, circles, triangles, squares and rectangles. Three-dimensional shapes have width, length and thickness, and include cubes, cones, cylinders, pyramids and spheres. The document encourages learners to complete an activity on pages 168-169 of their workbook and prepares them for a quiz by instructing them to bring out their MAPEH notebook.

Visualizing solid shapes!!!

This document discusses different types of 2D and 3D shapes. It describes 2D shapes as flat objects defined by straight or curved lines, including polygons like triangles and squares. 3D shapes have length, width, and height, enclosing a volume. They are characterized by faces, vertices, and edges. The document contrasts 2D and 3D properties, provides examples of 3D shapes like cubes and pyramids, and defines key 3D geometric terms such as faces, edges, and vertices.

Math 5.g5.q3 w3 polygons

This document provides information about polygons for a math class. It defines polygons as closed plane figures made of line segments and discusses key polygon concepts like sides, vertices, and naming conventions. The document then classifies polygons based on their number of sides, discusses convex and concave polygons, and provides practice exercises for classifying and drawing different polygon types.

Quadrilaterals

The document defines and provides examples of different types of quadrilaterals. It identifies squares, rectangles, rhombi, parallelograms, isosceles trapezoids, and kites. It gives the defining properties of each shape. Examples are provided to solve for missing side lengths and angles of various quadrilaterals using their properties. A short quiz evaluates understanding of quadrilaterals and solving problems involving their measurements.

Modulepolygons

This document provides information about polygons, including defining polygons, recognizing different types of polygons, naming polygons based on the number of sides, and determining key properties such as the number of sides, vertices, and diagonals. It also discusses sketching polygons, identifying lines of symmetry, and the geometric properties of specific polygons like triangles and quadrilaterals. Examples are provided for drawing triangles and quadrilaterals given specific measurements. Key terms are defined in a glossary at the end.

Plane figures

The document defines and describes various plane figures (two-dimensional shapes). It begins by defining what a plane figure is and then describes the key properties of circles, triangles, rectangles, rhombuses, squares, and trapezoids. For each shape, it provides the defining characteristics, such as a circle tracing a curve that is always the same distance from the center and a triangle being formed by 3 straight lines. It also classifies triangles based on their angles and sides. The document aims to teach the reader to define, identify, and draw the principal geometric plane figures.

Geom 6point1 97

This document provides objectives and information about polygons and quadrilaterals. It defines polygons and their properties such as sides, vertices, and types. It specifically discusses quadrilaterals, stating that if a quadrilateral is divided into two triangles, the sum of the interior angles is 180 degrees for each triangle, so the total sum of interior angles in a quadrilateral is 2 * 180 = 360 degrees. An example problem demonstrates using this property to find the measure of an unknown angle.

Realiabilty and item analysis in assessment

This document discusses polygons and their classifications. It begins by defining what a polygon is - a closed plane figure formed by connecting three or more line segments at their endpoints. It then discusses different types of polygons including regular vs irregular, convex vs concave, simple vs complex, and names polygons based on the number of sides. Specific polygon types like triangles, quadrilaterals, and properties such as interior angles, area, and perimeter are also covered. Formulas to calculate area, sum of interior angles, and measure of central angle are provided.

Grade 6 Third Quarter Mathematics - Visualizing Solid Figures.pptx

The document discusses visualizing solid figures through identifying their key characteristics such as number of faces, edges, and vertices. It provides examples of different plane and solid figures, describing properties like spheres having one curved face and no edges or vertices, while cubes have six square faces, eight vertices and twelve edges. The document also contrasts polyhedrons which have flat surfaces from solids like spheres with curved surfaces. Students are asked questions to test their understanding of classifying shapes based on these dimensional and geometric properties.

Cross sections of 3 d figures

Cross sections are 2D shapes that result when a 3D figure is cut by a plane. The plane can be parallel or perpendicular to the base of the 3D figure. A horizontal cross section of a cone is a circle, while a vertical cross section is a triangle. Both the horizontal and vertical cross sections of a cylinder are circles and rectangles, respectively.

𝗠𝗔𝗧𝗛𝗦 𝗣𝗥𝗢𝗝𝗘𝗖𝗧.pdf

This document discusses different shapes and figures in mensuration such as cuboid, cube, cylinder, hollow cylinder, cone, frustum of a cone, right pyramid, triangular prism, sphere, and hemisphere. For each shape, it provides the key properties like number of edges, faces, vertices, surface area, and volume formulas. Mensuration is defined as measuring objects in both 2D and 3D, and involves determining lengths and volumes using basic geometric equations and properties.

Describing Shapes - English for Civil Engineering

This document provides an overview of shapes and geometry for civil engineering. It defines what shapes are and notes that understanding shapes is important for identifying objects. It then describes common two-dimensional shapes like circles, squares, triangles, and oblongs. Three-dimensional shapes like spheres, cones, cubes, cuboids and cylinders are also defined. Examples of where these basic shapes appear in everyday objects are given. The document concludes with exercises asking the reader to identify shapes of common objects.

Q3-Week 5_Math 5 (Spatial or Solid Figures).pptx

The document discusses different types of 3D geometric shapes known as spatial or solid figures. It defines spatial figures as 3D shapes made up of joined 2D plane figures and lists examples such as cubes, cylinders, cones, prisms, pyramids, spheres, and rectangular prisms. The text then proceeds to define the key features of specific 3D shapes like cubes, triangular and rectangular prisms, square and triangular pyramids, cylinders, cones, and spheres. It concludes by instructing students to make one spatial figure of their choice using supplied materials like colored paper, scissors, and glue.

Mathematics[1].pdf

This document provides information about plane (2D) and 3D figures in mathematics. It defines common 2D shapes like squares, rectangles, trapezoids, circles, and parallelograms. For each shape, it gives the formula to calculate area, perimeter, and other measurements. It also defines common 3D solids like cubes, cuboids, cylinders, spheres, and cones. For each 3D solid, the summary provides the formula to calculate surface area, volume, and other measurements. The document aims to inform the reader about common geometric shapes and their properties through definitions, examples, and formulas.

Polygon Notes

The document defines and classifies polygons based on the number of sides. It explains that a polygon is a closed plane shape with 3 or more straight sides. Common polygons are then named and defined based on their number of sides, from triangles with 3 sides to dodecagons with 12 sides. Formulas are provided for calculating the sum of interior angles, area of regular polygons, and the sum of exterior angles of any polygon.

Class 4 presentation posted

Here are the steps to draw an equilateral triangle using the diameters method:
1. Draw a circle of any convenient size.
2. Draw two diameters of the circle that intersect at right angles. These will form the bases of the triangle.
3. With the points where the diameters intersect the circle as centers, and using the radius of the circle as the radius, draw arcs above the diameters.
4. The point where the arcs intersect will be the third vertex of the equilateral triangle.
5. Connect this point to the two base points to complete the equilateral triangle.
The key steps are using the diameters of the circle as the bases, and the fact that arcs drawn with the same

3D SHAPES.pptx

This document provides an overview of 3-dimensional shapes, including definitions, examples, and key terms. It begins by defining dimensions and reviewing 0D, 1D, and 2D shapes. It then defines 3D shapes as having length, width, and height. Important 3D shape terms are introduced, such as faces, edges, and vertices. Common 3D shapes - cubes, cuboids, cones, cylinders, and spheres - are defined with their geometric properties. The document emphasizes that studying 3D shapes helps students develop visual thinking and understand relationships between shapes and sizes in the real world.

10.6 notes

A polygon is a simple, closed figure in a plane formed by three or more straight sides that meet only at their endpoints or vertices. Common polygons include triangles with 3 sides, quadrilaterals with 4 sides, pentagons with 5 sides, and hexagons with 6 sides. Less common polygons have 7, 9, or 12 sides. A diagonal joins two non-consecutive vertices. A regular polygon has all sides of equal length and all interior angles of equal measure. The sum of the interior angles of any polygon with n sides is (n-2)×180 degrees.

February 23, 2016rev

1) The document contains notes from a 5th grade geometry class covering topics like triangles, quadrilaterals, angles, and polygons.
2) Vocabulary terms are defined and examples are given of different types of triangles, quadrilaterals, and polygons.
3) Activities include identifying attributes that shapes have in common, classifying shapes, and describing geometric relationships.

introductiontoengineeringgraphics-170307045101.docx

An engineering drawing is a technical drawing that clearly defines and communicates a design. It allows for collaboration in design, procurement, manufacturing, quality control, and other areas. The document then discusses various topics related to engineering drawings including types of lines, dimensioning, lettering, and scales.

introductiontoengineeringgraphics-170307045101.pdf

An engineering drawing is a technical drawing that clearly defines and communicates a design. It is used for collaboration, procurement, manufacturing, and quality control. The document discusses the role of graphics in visualization, communication, and documentation. It provides examples of engineering drawing applications in construction, manufacturing, and ships. The document also covers drawing instruments, types of lines, dimensioning, lettering, and scales used in engineering drawings.

Grade 1 2-D and 3-Dimensional Shapes.pptx

This document introduces two-dimensional and three-dimensional shapes to grade 1 learners. It defines two-dimensional shapes as those that have length and width but no thickness, such as lines, circles, triangles, squares and rectangles. Three-dimensional shapes have width, length and thickness, and include cubes, cones, cylinders, pyramids and spheres. The document encourages learners to complete an activity on pages 168-169 of their workbook and prepares them for a quiz by instructing them to bring out their MAPEH notebook.

Visualizing solid shapes!!!

This document discusses different types of 2D and 3D shapes. It describes 2D shapes as flat objects defined by straight or curved lines, including polygons like triangles and squares. 3D shapes have length, width, and height, enclosing a volume. They are characterized by faces, vertices, and edges. The document contrasts 2D and 3D properties, provides examples of 3D shapes like cubes and pyramids, and defines key 3D geometric terms such as faces, edges, and vertices.

Math 5.g5.q3 w3 polygons

This document provides information about polygons for a math class. It defines polygons as closed plane figures made of line segments and discusses key polygon concepts like sides, vertices, and naming conventions. The document then classifies polygons based on their number of sides, discusses convex and concave polygons, and provides practice exercises for classifying and drawing different polygon types.

Quadrilaterals

The document defines and provides examples of different types of quadrilaterals. It identifies squares, rectangles, rhombi, parallelograms, isosceles trapezoids, and kites. It gives the defining properties of each shape. Examples are provided to solve for missing side lengths and angles of various quadrilaterals using their properties. A short quiz evaluates understanding of quadrilaterals and solving problems involving their measurements.

Modulepolygons

This document provides information about polygons, including defining polygons, recognizing different types of polygons, naming polygons based on the number of sides, and determining key properties such as the number of sides, vertices, and diagonals. It also discusses sketching polygons, identifying lines of symmetry, and the geometric properties of specific polygons like triangles and quadrilaterals. Examples are provided for drawing triangles and quadrilaterals given specific measurements. Key terms are defined in a glossary at the end.

Plane figures

The document defines and describes various plane figures (two-dimensional shapes). It begins by defining what a plane figure is and then describes the key properties of circles, triangles, rectangles, rhombuses, squares, and trapezoids. For each shape, it provides the defining characteristics, such as a circle tracing a curve that is always the same distance from the center and a triangle being formed by 3 straight lines. It also classifies triangles based on their angles and sides. The document aims to teach the reader to define, identify, and draw the principal geometric plane figures.

Geom 6point1 97

This document provides objectives and information about polygons and quadrilaterals. It defines polygons and their properties such as sides, vertices, and types. It specifically discusses quadrilaterals, stating that if a quadrilateral is divided into two triangles, the sum of the interior angles is 180 degrees for each triangle, so the total sum of interior angles in a quadrilateral is 2 * 180 = 360 degrees. An example problem demonstrates using this property to find the measure of an unknown angle.

Realiabilty and item analysis in assessment

This document discusses polygons and their classifications. It begins by defining what a polygon is - a closed plane figure formed by connecting three or more line segments at their endpoints. It then discusses different types of polygons including regular vs irregular, convex vs concave, simple vs complex, and names polygons based on the number of sides. Specific polygon types like triangles, quadrilaterals, and properties such as interior angles, area, and perimeter are also covered. Formulas to calculate area, sum of interior angles, and measure of central angle are provided.

Grade 6 Third Quarter Mathematics - Visualizing Solid Figures.pptx

The document discusses visualizing solid figures through identifying their key characteristics such as number of faces, edges, and vertices. It provides examples of different plane and solid figures, describing properties like spheres having one curved face and no edges or vertices, while cubes have six square faces, eight vertices and twelve edges. The document also contrasts polyhedrons which have flat surfaces from solids like spheres with curved surfaces. Students are asked questions to test their understanding of classifying shapes based on these dimensional and geometric properties.

Cross sections of 3 d figures

Cross sections are 2D shapes that result when a 3D figure is cut by a plane. The plane can be parallel or perpendicular to the base of the 3D figure. A horizontal cross section of a cone is a circle, while a vertical cross section is a triangle. Both the horizontal and vertical cross sections of a cylinder are circles and rectangles, respectively.

𝗠𝗔𝗧𝗛𝗦 𝗣𝗥𝗢𝗝𝗘𝗖𝗧.pdf

This document discusses different shapes and figures in mensuration such as cuboid, cube, cylinder, hollow cylinder, cone, frustum of a cone, right pyramid, triangular prism, sphere, and hemisphere. For each shape, it provides the key properties like number of edges, faces, vertices, surface area, and volume formulas. Mensuration is defined as measuring objects in both 2D and 3D, and involves determining lengths and volumes using basic geometric equations and properties.

Describing Shapes - English for Civil Engineering

This document provides an overview of shapes and geometry for civil engineering. It defines what shapes are and notes that understanding shapes is important for identifying objects. It then describes common two-dimensional shapes like circles, squares, triangles, and oblongs. Three-dimensional shapes like spheres, cones, cubes, cuboids and cylinders are also defined. Examples of where these basic shapes appear in everyday objects are given. The document concludes with exercises asking the reader to identify shapes of common objects.

Q3-Week 5_Math 5 (Spatial or Solid Figures).pptx

The document discusses different types of 3D geometric shapes known as spatial or solid figures. It defines spatial figures as 3D shapes made up of joined 2D plane figures and lists examples such as cubes, cylinders, cones, prisms, pyramids, spheres, and rectangular prisms. The text then proceeds to define the key features of specific 3D shapes like cubes, triangular and rectangular prisms, square and triangular pyramids, cylinders, cones, and spheres. It concludes by instructing students to make one spatial figure of their choice using supplied materials like colored paper, scissors, and glue.

Mathematics[1].pdf

This document provides information about plane (2D) and 3D figures in mathematics. It defines common 2D shapes like squares, rectangles, trapezoids, circles, and parallelograms. For each shape, it gives the formula to calculate area, perimeter, and other measurements. It also defines common 3D solids like cubes, cuboids, cylinders, spheres, and cones. For each 3D solid, the summary provides the formula to calculate surface area, volume, and other measurements. The document aims to inform the reader about common geometric shapes and their properties through definitions, examples, and formulas.

Polygon Notes

The document defines and classifies polygons based on the number of sides. It explains that a polygon is a closed plane shape with 3 or more straight sides. Common polygons are then named and defined based on their number of sides, from triangles with 3 sides to dodecagons with 12 sides. Formulas are provided for calculating the sum of interior angles, area of regular polygons, and the sum of exterior angles of any polygon.

Class 4 presentation posted

Here are the steps to draw an equilateral triangle using the diameters method:
1. Draw a circle of any convenient size.
2. Draw two diameters of the circle that intersect at right angles. These will form the bases of the triangle.
3. With the points where the diameters intersect the circle as centers, and using the radius of the circle as the radius, draw arcs above the diameters.
4. The point where the arcs intersect will be the third vertex of the equilateral triangle.
5. Connect this point to the two base points to complete the equilateral triangle.
The key steps are using the diameters of the circle as the bases, and the fact that arcs drawn with the same

3D SHAPES.pptx

This document provides an overview of 3-dimensional shapes, including definitions, examples, and key terms. It begins by defining dimensions and reviewing 0D, 1D, and 2D shapes. It then defines 3D shapes as having length, width, and height. Important 3D shape terms are introduced, such as faces, edges, and vertices. Common 3D shapes - cubes, cuboids, cones, cylinders, and spheres - are defined with their geometric properties. The document emphasizes that studying 3D shapes helps students develop visual thinking and understand relationships between shapes and sizes in the real world.

10.6 notes

A polygon is a simple, closed figure in a plane formed by three or more straight sides that meet only at their endpoints or vertices. Common polygons include triangles with 3 sides, quadrilaterals with 4 sides, pentagons with 5 sides, and hexagons with 6 sides. Less common polygons have 7, 9, or 12 sides. A diagonal joins two non-consecutive vertices. A regular polygon has all sides of equal length and all interior angles of equal measure. The sum of the interior angles of any polygon with n sides is (n-2)×180 degrees.

February 23, 2016rev

1) The document contains notes from a 5th grade geometry class covering topics like triangles, quadrilaterals, angles, and polygons.
2) Vocabulary terms are defined and examples are given of different types of triangles, quadrilaterals, and polygons.
3) Activities include identifying attributes that shapes have in common, classifying shapes, and describing geometric relationships.

Geometry In The Real World

Geometry In The Real World

Grade 1 2-D and 3-Dimensional Shapes.pptx

Grade 1 2-D and 3-Dimensional Shapes.pptx

Visualizing solid shapes!!!

Visualizing solid shapes!!!

Math 5.g5.q3 w3 polygons

Math 5.g5.q3 w3 polygons

Quadrilaterals

Quadrilaterals

Modulepolygons

Modulepolygons

Plane figures

Plane figures

Geom 6point1 97

Geom 6point1 97

Realiabilty and item analysis in assessment

Realiabilty and item analysis in assessment

Grade 6 Third Quarter Mathematics - Visualizing Solid Figures.pptx

Grade 6 Third Quarter Mathematics - Visualizing Solid Figures.pptx

Cross sections of 3 d figures

Cross sections of 3 d figures

𝗠𝗔𝗧𝗛𝗦 𝗣𝗥𝗢𝗝𝗘𝗖𝗧.pdf

𝗠𝗔𝗧𝗛𝗦 𝗣𝗥𝗢𝗝𝗘𝗖𝗧.pdf

Describing Shapes - English for Civil Engineering

Describing Shapes - English for Civil Engineering

Q3-Week 5_Math 5 (Spatial or Solid Figures).pptx

Q3-Week 5_Math 5 (Spatial or Solid Figures).pptx

Mathematics[1].pdf

Mathematics[1].pdf

Polygon Notes

Polygon Notes

Class 4 presentation posted

Class 4 presentation posted

3D SHAPES.pptx

3D SHAPES.pptx

10.6 notes

10.6 notes

February 23, 2016rev

February 23, 2016rev

introductiontoengineeringgraphics-170307045101.docx

An engineering drawing is a technical drawing that clearly defines and communicates a design. It allows for collaboration in design, procurement, manufacturing, quality control, and other areas. The document then discusses various topics related to engineering drawings including types of lines, dimensioning, lettering, and scales.

introductiontoengineeringgraphics-170307045101.pdf

An engineering drawing is a technical drawing that clearly defines and communicates a design. It is used for collaboration, procurement, manufacturing, and quality control. The document discusses the role of graphics in visualization, communication, and documentation. It provides examples of engineering drawing applications in construction, manufacturing, and ships. The document also covers drawing instruments, types of lines, dimensioning, lettering, and scales used in engineering drawings.

socialstudiesgeographyskills-contours-online-120601012740-phpapp02.pdf

Contour maps use contour lines to represent three-dimensional terrain in two dimensions. Contour lines connect points of equal elevation and their spacing indicates the steepness of slopes - lines closer together mean steeper terrain. Contour maps provide more detailed topographical information than other map types by depicting the shape and gradient of land and can be used to infer elevation changes even when numerical spot heights are not provided.

Maps-and-map-interpretation.pdf

This document provides an introduction to reading and interpreting maps for geology and geography students. It covers key map elements like the title, scale, legend, and contours. Contours show elevations and can reveal landforms. Cross-sections help visualize terrain in 2D. The document teaches how to identify features like valleys, ridges, and hills based on contour patterns and recommends drawing cross-sections to confirm interpretations. It emphasizes that maps are a projection of 3D space onto a 2D surface.

fin1_water_supply_slides.ppt

This document provides an overview of basic water supply system operations, including sources of drinking water, advantages and disadvantages of surface water and groundwater sources, and treatment processes for both. It discusses intake processes like racks and screens, mixing, coagulation and flocculation, sedimentation, and filtration. Disinfection methods like chlorine, ultraviolet light, and ozone are also covered. The document concludes with descriptions of distribution system facilities such as pumps, storage, transmission mains, valves and hydrants.

What is Map.pptx

A map is a representation of all or part of the Earth's surface drawn to scale. Maps use symbols and colors to represent features like landforms, roads, and vegetation. Contour lines connect points of equal elevation, allowing maps to depict three-dimensional terrain in two dimensions. Contour maps are useful for engineering projects to evaluate sites, trace grades, and calculate earthworks.

chapter 4.pptx

The document discusses network models and compares the OSI model and TCP/IP model. It provides details on the layers of the OSI model including the 7 layers from physical to application layer. It describes the functions of each layer such as physical dealing with raw bit transmission, data link framing bits into frames, network routing packets, transport ensuring reliable data delivery, session controlling connections, presentation translating between systems, and application providing user interfaces. It also summarizes the similarities and differences between the OSI and TCP/IP models.

STAUFFER 2012 Sewer System 120720.ppt

Sewer systems are piped networks that transport wastewater from source points like households to treatment facilities. There are several types of sewer systems depending on factors like topography and amount of wastewater. Conventional sewer systems combine wastewater and stormwater in large underground pipes while separate sewer systems transport them separately. Sewer systems require substantial resources to build and maintain but can provide sanitation convenience at scale.

chapter 5 (1).ppt

1) The document discusses IP addressing and the different types of addresses used - physical, logical (IP), port, and specific addresses.
2) It describes the four classes of IP addresses - Class A, B, C, and D - and the network and host portions of each. Class A is for large networks, Class B for medium, and Class C for small networks.
3) Certain IP addresses are reserved and cannot be assigned to hosts, including network addresses, broadcast addresses, and the loopback address of 127.0.0.1. Proper allocation of addresses is important to avoid conflicts.

basicconstruction-120911090944-phpapp01.pdf

The document discusses various techniques for drawing geometric shapes and constructions. It covers topics such as drawing parallel and perpendicular lines, bisecting lines and angles, dividing lines into multiple sections, finding the center of arcs and circles, inscribing and circumscribing circles in triangles, drawing regular polygons like hexagons, constructing ellipses, and defining curves like cycloids, epicycloids, involutes, and Archimedean spirals. The document provides step-by-step instructions for performing each geometric construction or drawing.

topo explain 2 satellite images.pdf

Topographic maps provide three-dimensional information about natural and man-made features of landscapes using contour lines to show elevations. Contour lines connect points of equal height, with steeper slopes having lines closer together. Topographic maps depict mountains, valleys, plains, rivers, lakes, roads, boundaries, buildings and other structures, and are used for purposes like engineering, planning, military operations, and recreation. Satellite images can be matched to topographic maps using the shapes and elevations of the landscapes.

engineeringdrawinggeometricconstructionlesson4-110831061736-phpapp02.pdf

1) The document provides information on basic geometric elements such as points, lines, angles, and their construction. It also covers plane figures like triangles, quadrilaterals, polygons and circles.
2) Solid geometric shapes such as prisms, pyramids, cylinders and cones are described along with their geometric construction.
3) The document also summarizes methods for constructing common curves like ellipses, parabolas, hyperbolas and their geometric properties.

introductiontoengineeringandprofessionethics-lecture5-engineeringdrawing-dr-1...

Engineering drawings are a graphical language used to communicate technical design information between engineers. There are different projection methods for engineering drawings, including orthographic projection and axonometric projection. Orthographic projection uses parallel lines of sight to produce accurate multi-view drawings that show the true shape and size of an object through multiple two-dimensional views. Axonometric projection shows an object's three dimensions in a single view, making it easier to understand but introducing distortions from the true shape and size. Understanding engineering graphics and different projection methods is essential for effective technical communication.

contouring-180417110533.pdf

1. Contours are imaginary lines on a map that connect points of equal elevation. Contour maps show these lines, representing the topography of the land.
2. There are two main methods for creating contour maps - direct and indirect. The direct method involves precisely surveying points along contour lines in the field. The indirect method takes spot elevations across an area and interpolates the contour lines.
3. Common indirect techniques include surveying on a grid, along cross-sections, or using a tacheometer to measure multiple points from instrument stations. Spot elevations are plotted and contour lines drawn in between based on the terrain. The indirect method is faster but less precise than the direct method.

contourlines-130527092046-phpapp02.pdf

Contour lines on a topographical map represent imaginary lines connecting points of equal elevation above or below a datum. The vertical distance between contour lines is called the contour interval. Index contours are drawn with a heavier line every fifth contour to aid identification of elevations. Intermediate contours fall between index contours. Contour lines can be marked in the field using a homemade A-frame leveling device to identify points of equal height and indicate slope. The spacing of contour lines depends on the steepness of the slope, with closer lines used for steeper slopes to prevent soil erosion.

topographicmapsnotes-130930200052-phpapp01 (1).docx

Topographic maps use contour lines to represent the three dimensional shape of the earth's surface. Contour lines connect points of equal elevation and the interval between lines indicates the steepness of slopes. A topographic profile can be created by slicing through a map along a line and plotting the elevations to show the shape and gradient of the terrain from the side.

handiout (3).pdf

This document provides an introduction to maps and map elements. It discusses the basic components of maps including titles, scales, legends, and directions. It also describes different types of maps such as general reference maps, thematic maps, and topographic maps. Topographic maps are explained in detail, including how they use contour lines to show elevation changes and terrain features. The key elements of contour maps like contour intervals and index contours are defined. Finally, the document outlines the purposes and uses of contour maps for engineering projects.

Maps-and-map-interpretation.docx

This document provides an introduction to map interpretation and sketching for level 1 students. It covers basic map elements like titles, scales, legends, and contours. It describes different map types such as topographic maps and thematic maps. Topographic maps show elevation using contour lines, which represent points of equal height. The spacing of contour lines indicates steep or gentle slopes. Common features like valleys, ridges, hills and depressions are identified by the shape and direction of contour lines. The document is intended to teach students how to interpret maps and understand topographic information.

handiout (2).pdf

This document provides an overview of maps and map elements. It discusses the different types of maps including general purpose maps, thematic maps, and topographic maps. It describes the basic elements of maps such as titles, scales, legends, and directions. Contour lines and how to read elevation and slope from topographic maps are explained in detail. The purpose and uses of contour maps for engineering projects are also summarized.

handiout (1).pdf

This document provides an overview of maps and map elements. It discusses the different types of maps including general purpose maps, thematic maps, and topographic maps. It describes the basic elements of maps such as titles, scales, legends, and directions. Contour lines and how to read elevation and slope from topographic maps are explained in detail. The purpose and uses of contour maps for engineering projects are also summarized.

introductiontoengineeringgraphics-170307045101.docx

introductiontoengineeringgraphics-170307045101.docx

introductiontoengineeringgraphics-170307045101.pdf

introductiontoengineeringgraphics-170307045101.pdf

socialstudiesgeographyskills-contours-online-120601012740-phpapp02.pdf

socialstudiesgeographyskills-contours-online-120601012740-phpapp02.pdf

Maps-and-map-interpretation.pdf

Maps-and-map-interpretation.pdf

fin1_water_supply_slides.ppt

fin1_water_supply_slides.ppt

What is Map.pptx

What is Map.pptx

chapter 4.pptx

chapter 4.pptx

STAUFFER 2012 Sewer System 120720.ppt

STAUFFER 2012 Sewer System 120720.ppt

chapter 5 (1).ppt

chapter 5 (1).ppt

basicconstruction-120911090944-phpapp01.pdf

basicconstruction-120911090944-phpapp01.pdf

topo explain 2 satellite images.pdf

topo explain 2 satellite images.pdf

engineeringdrawinggeometricconstructionlesson4-110831061736-phpapp02.pdf

engineeringdrawinggeometricconstructionlesson4-110831061736-phpapp02.pdf

introductiontoengineeringandprofessionethics-lecture5-engineeringdrawing-dr-1...

introductiontoengineeringandprofessionethics-lecture5-engineeringdrawing-dr-1...

contouring-180417110533.pdf

contouring-180417110533.pdf

contourlines-130527092046-phpapp02.pdf

contourlines-130527092046-phpapp02.pdf

topographicmapsnotes-130930200052-phpapp01 (1).docx

topographicmapsnotes-130930200052-phpapp01 (1).docx

handiout (3).pdf

handiout (3).pdf

Maps-and-map-interpretation.docx

Maps-and-map-interpretation.docx

handiout (2).pdf

handiout (2).pdf

handiout (1).pdf

handiout (1).pdf

FREE A4 Cyber Security Awareness Posters-Social Engineering part 3

Free A4 downloadable and printable Cyber Security, Social Engineering Safety and security Training Posters . Promote security awareness in the home or workplace. Lock them Out From training providers datahops.com

Dandelion Hashtable: beyond billion requests per second on a commodity server

This slide deck presents DLHT, a concurrent in-memory hashtable. Despite efforts to optimize hashtables, that go as far as sacrificing core functionality, state-of-the-art designs still incur multiple memory accesses per request and block request processing in three cases. First, most hashtables block while waiting for data to be retrieved from memory. Second, open-addressing designs, which represent the current state-of-the-art, either cannot free index slots on deletes or must block all requests to do so. Third, index resizes block every request until all objects are copied to the new index. Defying folklore wisdom, DLHT forgoes open-addressing and adopts a fully-featured and memory-aware closed-addressing design based on bounded cache-line-chaining. This design offers lock-free index operations and deletes that free slots instantly, (2) completes most requests with a single memory access, (3) utilizes software prefetching to hide memory latencies, and (4) employs a novel non-blocking and parallel resizing. In a commodity server and a memory-resident workload, DLHT surpasses 1.6B requests per second and provides 3.5x (12x) the throughput of the state-of-the-art closed-addressing (open-addressing) resizable hashtable on Gets (Deletes).

WeTestAthens: Postman's AI & Automation Techniques

Postman's AI and Automation Techniques

Let's Integrate MuleSoft RPA, COMPOSER, APM with AWS IDP along with Slack

Discover the seamless integration of RPA (Robotic Process Automation), COMPOSER, and APM with AWS IDP enhanced with Slack notifications. Explore how these technologies converge to streamline workflows, optimize performance, and ensure secure access, all while leveraging the power of AWS IDP and real-time communication via Slack notifications.

Skybuffer SAM4U tool for SAP license adoption

Manage and optimize your license adoption and consumption with SAM4U, an SAP free customer software asset management tool.
SAM4U, an SAP complimentary software asset management tool for customers, delivers a detailed and well-structured overview of license inventory and usage with a user-friendly interface. We offer a hosted, cost-effective, and performance-optimized SAM4U setup in the Skybuffer Cloud environment. You retain ownership of the system and data, while we manage the ABAP 7.58 infrastructure, ensuring fixed Total Cost of Ownership (TCO) and exceptional services through the SAP Fiori interface.

AWS Cloud Cost Optimization Presentation.pptx

This presentation provides valuable insights into effective cost-saving techniques on AWS. Learn how to optimize your AWS resources by rightsizing, increasing elasticity, picking the right storage class, and choosing the best pricing model. Additionally, discover essential governance mechanisms to ensure continuous cost efficiency. Whether you are new to AWS or an experienced user, this presentation provides clear and practical tips to help you reduce your cloud costs and get the most out of your budget.

zkStudyClub - LatticeFold: A Lattice-based Folding Scheme and its Application...

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

Driving Business Innovation: Latest Generative AI Advancements & Success Story

Are you ready to revolutionize how you handle data? Join us for a webinar where we’ll bring you up to speed with the latest advancements in Generative AI technology and discover how leveraging FME with tools from giants like Google Gemini, Amazon, and Microsoft OpenAI can supercharge your workflow efficiency.
During the hour, we’ll take you through:
Guest Speaker Segment with Hannah Barrington: Dive into the world of dynamic real estate marketing with Hannah, the Marketing Manager at Workspace Group. Hear firsthand how their team generates engaging descriptions for thousands of office units by integrating diverse data sources—from PDF floorplans to web pages—using FME transformers, like OpenAIVisionConnector and AnthropicVisionConnector. This use case will show you how GenAI can streamline content creation for marketing across the board.
Ollama Use Case: Learn how Scenario Specialist Dmitri Bagh has utilized Ollama within FME to input data, create custom models, and enhance security protocols. This segment will include demos to illustrate the full capabilities of FME in AI-driven processes.
Custom AI Models: Discover how to leverage FME to build personalized AI models using your data. Whether it’s populating a model with local data for added security or integrating public AI tools, find out how FME facilitates a versatile and secure approach to AI.
We’ll wrap up with a live Q&A session where you can engage with our experts on your specific use cases, and learn more about optimizing your data workflows with AI.
This webinar is ideal for professionals seeking to harness the power of AI within their data management systems while ensuring high levels of customization and security. Whether you're a novice or an expert, gain actionable insights and strategies to elevate your data processes. Join us to see how FME and AI can revolutionize how you work with data!

Public CyberSecurity Awareness Presentation 2024.pptx

Cyber security awareness slides for a busisness by TreeTop Security

Programming Foundation Models with DSPy - Meetup Slides

Prompting language models is hard, while programming language models is easy. In this talk, I will discuss the state-of-the-art framework DSPy for programming foundation models with its powerful optimizers and runtime constraint system.

Your One-Stop Shop for Python Success: Top 10 US Python Development Providers

Simplify your search for a reliable Python development partner! This list presents the top 10 trusted US providers offering comprehensive Python development services, ensuring your project's success from conception to completion.

Generating privacy-protected synthetic data using Secludy and Milvus

During this demo, the founders of Secludy will demonstrate how their system utilizes Milvus to store and manipulate embeddings for generating privacy-protected synthetic data. Their approach not only maintains the confidentiality of the original data but also enhances the utility and scalability of LLMs under privacy constraints. Attendees, including machine learning engineers, data scientists, and data managers, will witness first-hand how Secludy's integration with Milvus empowers organizations to harness the power of LLMs securely and efficiently.

JavaLand 2024: Application Development Green Masterplan

My presentation slides I used at JavaLand 2024

Skybuffer AI: Advanced Conversational and Generative AI Solution on SAP Busin...

Skybuffer AI, built on the robust SAP Business Technology Platform (SAP BTP), is the latest and most advanced version of our AI development, reaffirming our commitment to delivering top-tier AI solutions. Skybuffer AI harnesses all the innovative capabilities of the SAP BTP in the AI domain, from Conversational AI to cutting-edge Generative AI and Retrieval-Augmented Generation (RAG). It also helps SAP customers safeguard their investments into SAP Conversational AI and ensure a seamless, one-click transition to SAP Business AI.
With Skybuffer AI, various AI models can be integrated into a single communication channel such as Microsoft Teams. This integration empowers business users with insights drawn from SAP backend systems, enterprise documents, and the expansive knowledge of Generative AI. And the best part of it is that it is all managed through our intuitive no-code Action Server interface, requiring no extensive coding knowledge and making the advanced AI accessible to more users.

Serial Arm Control in Real Time Presentation

Serial Arm Control in Real Time

Main news related to the CCS TSI 2023 (2023/1695)

An English 🇬🇧 translation of a presentation to the speech I gave about the main changes brought by CCS TSI 2023 at the biggest Czech conference on Communications and signalling systems on Railways, which was held in Clarion Hotel Olomouc from 7th to 9th November 2023 (konferenceszt.cz). Attended by around 500 participants and 200 on-line followers.
The original Czech 🇨🇿 version of the presentation can be found here: https://www.slideshare.net/slideshow/hlavni-novinky-souvisejici-s-ccs-tsi-2023-2023-1695/269688092 .
The videorecording (in Czech) from the presentation is available here: https://youtu.be/WzjJWm4IyPk?si=SImb06tuXGb30BEH .

HCL Notes und Domino Lizenzkostenreduzierung in der Welt von DLAU

Webinar Recording: https://www.panagenda.com/webinars/hcl-notes-und-domino-lizenzkostenreduzierung-in-der-welt-von-dlau/
DLAU und die Lizenzen nach dem CCB- und CCX-Modell sind für viele in der HCL-Community seit letztem Jahr ein heißes Thema. Als Notes- oder Domino-Kunde haben Sie vielleicht mit unerwartet hohen Benutzerzahlen und Lizenzgebühren zu kämpfen. Sie fragen sich vielleicht, wie diese neue Art der Lizenzierung funktioniert und welchen Nutzen sie Ihnen bringt. Vor allem wollen Sie sicherlich Ihr Budget einhalten und Kosten sparen, wo immer möglich. Das verstehen wir und wir möchten Ihnen dabei helfen!
Wir erklären Ihnen, wie Sie häufige Konfigurationsprobleme lösen können, die dazu führen können, dass mehr Benutzer gezählt werden als nötig, und wie Sie überflüssige oder ungenutzte Konten identifizieren und entfernen können, um Geld zu sparen. Es gibt auch einige Ansätze, die zu unnötigen Ausgaben führen können, z. B. wenn ein Personendokument anstelle eines Mail-Ins für geteilte Mailboxen verwendet wird. Wir zeigen Ihnen solche Fälle und deren Lösungen. Und natürlich erklären wir Ihnen das neue Lizenzmodell.
Nehmen Sie an diesem Webinar teil, bei dem HCL-Ambassador Marc Thomas und Gastredner Franz Walder Ihnen diese neue Welt näherbringen. Es vermittelt Ihnen die Tools und das Know-how, um den Überblick zu bewahren. Sie werden in der Lage sein, Ihre Kosten durch eine optimierte Domino-Konfiguration zu reduzieren und auch in Zukunft gering zu halten.
Diese Themen werden behandelt
- Reduzierung der Lizenzkosten durch Auffinden und Beheben von Fehlkonfigurationen und überflüssigen Konten
- Wie funktionieren CCB- und CCX-Lizenzen wirklich?
- Verstehen des DLAU-Tools und wie man es am besten nutzt
- Tipps für häufige Problembereiche, wie z. B. Team-Postfächer, Funktions-/Testbenutzer usw.
- Praxisbeispiele und Best Practices zum sofortigen Umsetzen

Choosing The Best AWS Service For Your Website + API.pptx

Have you ever been confused by the myriad of choices offered by AWS for hosting a website or an API?
Lambda, Elastic Beanstalk, Lightsail, Amplify, S3 (and more!) can each host websites + APIs. But which one should we choose?
Which one is cheapest? Which one is fastest? Which one will scale to meet our needs?
Join me in this session as we dive into each AWS hosting service to determine which one is best for your scenario and explain why!

Building Production Ready Search Pipelines with Spark and Milvus

Spark is the widely used ETL tool for processing, indexing and ingesting data to serving stack for search. Milvus is the production-ready open-source vector database. In this talk we will show how to use Spark to process unstructured data to extract vector representations, and push the vectors to Milvus vector database for search serving.

HCL Notes and Domino License Cost Reduction in the World of DLAU

Webinar Recording: https://www.panagenda.com/webinars/hcl-notes-and-domino-license-cost-reduction-in-the-world-of-dlau/
The introduction of DLAU and the CCB & CCX licensing model caused quite a stir in the HCL community. As a Notes and Domino customer, you may have faced challenges with unexpected user counts and license costs. You probably have questions on how this new licensing approach works and how to benefit from it. Most importantly, you likely have budget constraints and want to save money where possible. Don’t worry, we can help with all of this!
We’ll show you how to fix common misconfigurations that cause higher-than-expected user counts, and how to identify accounts which you can deactivate to save money. There are also frequent patterns that can cause unnecessary cost, like using a person document instead of a mail-in for shared mailboxes. We’ll provide examples and solutions for those as well. And naturally we’ll explain the new licensing model.
Join HCL Ambassador Marc Thomas in this webinar with a special guest appearance from Franz Walder. It will give you the tools and know-how to stay on top of what is going on with Domino licensing. You will be able lower your cost through an optimized configuration and keep it low going forward.
These topics will be covered
- Reducing license cost by finding and fixing misconfigurations and superfluous accounts
- How do CCB and CCX licenses really work?
- Understanding the DLAU tool and how to best utilize it
- Tips for common problem areas, like team mailboxes, functional/test users, etc
- Practical examples and best practices to implement right away

FREE A4 Cyber Security Awareness Posters-Social Engineering part 3

FREE A4 Cyber Security Awareness Posters-Social Engineering part 3

Dandelion Hashtable: beyond billion requests per second on a commodity server

Dandelion Hashtable: beyond billion requests per second on a commodity server

WeTestAthens: Postman's AI & Automation Techniques

WeTestAthens: Postman's AI & Automation Techniques

Let's Integrate MuleSoft RPA, COMPOSER, APM with AWS IDP along with Slack

Let's Integrate MuleSoft RPA, COMPOSER, APM with AWS IDP along with Slack

Skybuffer SAM4U tool for SAP license adoption

Skybuffer SAM4U tool for SAP license adoption

AWS Cloud Cost Optimization Presentation.pptx

AWS Cloud Cost Optimization Presentation.pptx

zkStudyClub - LatticeFold: A Lattice-based Folding Scheme and its Application...

zkStudyClub - LatticeFold: A Lattice-based Folding Scheme and its Application...

Driving Business Innovation: Latest Generative AI Advancements & Success Story

Driving Business Innovation: Latest Generative AI Advancements & Success Story

Public CyberSecurity Awareness Presentation 2024.pptx

Public CyberSecurity Awareness Presentation 2024.pptx

Programming Foundation Models with DSPy - Meetup Slides

Programming Foundation Models with DSPy - Meetup Slides

Your One-Stop Shop for Python Success: Top 10 US Python Development Providers

Your One-Stop Shop for Python Success: Top 10 US Python Development Providers

Generating privacy-protected synthetic data using Secludy and Milvus

Generating privacy-protected synthetic data using Secludy and Milvus

JavaLand 2024: Application Development Green Masterplan

JavaLand 2024: Application Development Green Masterplan

Skybuffer AI: Advanced Conversational and Generative AI Solution on SAP Busin...

Skybuffer AI: Advanced Conversational and Generative AI Solution on SAP Busin...

Serial Arm Control in Real Time Presentation

Serial Arm Control in Real Time Presentation

Main news related to the CCS TSI 2023 (2023/1695)

Main news related to the CCS TSI 2023 (2023/1695)

HCL Notes und Domino Lizenzkostenreduzierung in der Welt von DLAU

HCL Notes und Domino Lizenzkostenreduzierung in der Welt von DLAU

Choosing The Best AWS Service For Your Website + API.pptx

Choosing The Best AWS Service For Your Website + API.pptx

Building Production Ready Search Pipelines with Spark and Milvus

Building Production Ready Search Pipelines with Spark and Milvus

HCL Notes and Domino License Cost Reduction in the World of DLAU

HCL Notes and Domino License Cost Reduction in the World of DLAU

- 2. PREPARE A SET OF TEACHING AND LEARNING RESOURCES OF GEOMETRICAL CONSTRUCTION GROUP MEMBERS :- VANESRI KASI YAMUNA SANDARAN TINAGARAN MAGESPARAN
- 4. 2D Shape Polygon Polygon is 2D shape closed figure made up of 3 or more line segments. The lines do not cross each other. Regular polygon is all the sides are equal and interior angles are same. Irregular polygons are where the sides are different length.
- 5. Number of side Name of Polygon 3 Triangle 4 square 5 pentagon 6 hexagon 7 heptagon 8 octagon 9 Nonagon 10 decagon Classifications of polygons. 2D MODAL
- 18. 3D Solid
- 20. . 3 L L L L Cube A cube is a three-dimensional figure having six matching square sides. If L is the length of one of its sides the volume of the cube is. A cube has six square shaped sides. The surface area of a cube is six times the area of one of these sides.
- 21. 2 r pi L 2 2 2 r pi L pi r Cylinder A cylinder is a space figure having two congruent circular bases that are parallel. If L is the length of a cylinder, and r is the radius of one the bases of a cylinder then the volume of the cylinder is, and the surface area is .
- 22. Prism A prism is a space figure with two congruent parallel bases that are polygons Examples: The figure below is a pentagon a prism (the bases are pentagons). The grayed lines are edges hidden from view.
- 23. The figure below is a triangular prism (the bases are triangles). The grayed lines are edges hidden from view The figure below is a hexagonal prism (the bases are hexagons). The grayed lines are edges hidden from view.
- 24. Pyramid A pyramid is a space figure with a square base and 4 triangle-shape sides. Example: The picture below is a pyramid. The grayed lines are edges hidden from view.