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This document defines basic geometry terms like point, line, and plane which are undefined terms that serve as building blocks. It also introduces defined terms like segment and ray. Postulates are accepted statements of fact in geometry, such as through any two points there is exactly one line. The document provides examples applying these terms and postulates to identify collinear points, coplanar lines, and intersecting planes.
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Syllabus
Chapter-1
Introduction to objective, scope and outcome the subject
Chapter 2
Introduction: Scope and Specialization of Civil Engineering, Role of civil Engineer in Society, Impact of infrastructural development on economy of country.
Chapter 3
Surveying: Object Principles & Types of Surveying; Site Plans, Plans & Maps; Scales & Unit of different Measurements.
Linear Measurements: Instruments used. Linear Measurement by Tape, Ranging out Survey Lines and overcoming Obstructions; Measurements on sloping ground; Tape corrections, conventional symbols. Angular Measurements: Instruments used; Introduction to Compass Surveying, Bearings and Longitude & Latitude of a Line, Introduction to total station.
Levelling: Instrument used Object of levelling, Methods of levelling in brief, and Contour maps.
Chapter 4
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Chapter 5
Transportation: Introduction to Transportation Engineering; Traffic and Road Safety: Types and Characteristics of Various Modes of Transportation; Various Road Traffic Signs, Causes of Accidents and Road Safety Measures.
Chapter 6
Environmental Engineering: Environmental Pollution, Environmental Acts and Regulations, Functional Concepts of Ecology, Basics of Species, Biodiversity, Ecosystem, Hydrological Cycle; Chemical Cycles: Carbon, Nitrogen & Phosphorus; Energy Flow in Ecosystems.
Water Pollution: Water Quality standards, Introduction to Treatment & Disposal of Waste Water. Reuse and Saving of Water, Rain Water Harvesting. Solid Waste Management: Classification of Solid Waste, Collection, Transportation and Disposal of Solid. Recycling of Solid Waste: Energy Recovery, Sanitary Landfill, On-Site Sanitation. Air & Noise Pollution: Primary and Secondary air pollutants, Harmful effects of Air Pollution, Control of Air Pollution. . Noise Pollution Harmful Effects of noise pollution, control of noise pollution, Global warming & Climate Change, Ozone depletion, Greenhouse effect
Text Books:
1. Palancharmy, Basic Civil Engineering, McGraw Hill publishers.
2. Satheesh Gopi, Basic Civil Engineering, Pearson Publishers.
3. Ketki Rangwala Dalal, Essentials of Civil Engineering, Charotar Publishing House.
4. BCP, Surveying volume 1
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1-2 PowerPoint.pptx
- 1. 1-2: Points, Lines, and Planes Basic Geometry Terms
- 2. Undefined Terms Definition of words Consist of other words How do you define the first word? Philosophy Class? Every end has a start Every effect has a cause Geometry undefined terms Point, line, and plane Used to build the definitions of other figures
- 3. Undefined Terms Point – indicates a location and has no size Line – represented by a straight path that extends in two opposite directions without end and has no thickness. A line contains infinitely many points. Plane – represented by a flat surface that extends without end and has no thickness. A plane contains infinitely many lines.
- 4. Undefined Terms Collinear Points – points that lie on the same line Coplanar – when points and/or lines lie on the same plane
- 5. Defined Terms Segment – part of a line that consists of two endpoints and all points between them. Ray – part of a line that consists of one endpoint and all the points of the line on one side of the endpoint Opposite rays – two rays that share the same endpoint and form a line
- 6. Example Use the diagram to answer each question. - Name two coplanar lines. - Name three non-collinear points. - Name the plane two different ways. - Name a pair of opposite rays. W X Z Y V
- 7. Take Home Message Undefined terms are used as building blocks of Geometry (and Math) Geometry will have a lot of vocabulary words The concepts will give us algebraic equations Geometry will enhance our artistic abilities
- 8. 1.2 Continued Postulate – accepted statement of fact Like undefined terms, used as building blocks of the logical system in geometry Also known as axioms Postulate 1.1- through any two points, there is exactly one line Postulate 1.2- if two distinct lines intersect, then they intersect in exactly one point.
- 9. 1.2 Continued Postulate 1.3- if two distinct planes intersect, then they intersect in exactly one line
- 10. 1.2 Continued Postulate 1.4 – through any three noncollinear points, there is exactly one plane
- 11. Where does Plane ABCD intersect Plane ACEG? What plane contains the points C, D, and B? What plane contains the points E, F, and C? Example A C B E G F H D
- 12. Take Home Message Postulates are assumed to be true No formal proof Relationship between dimensions A point is the intersection of two lines A line is the intersection of two planes A plane is the intersection of 3D figures