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Mathematics for Engineers
book

Mathematics for Engineers

by Ritu Shrivastava, Ramakant Bhardwaj, Satyendra Narayan
June 2025
Intermediate to advanced
576 pages
11h 26m
English
Wiley-Scrivener
Content preview from Mathematics for Engineers

3Two-Dimensional Geometry

An image contains a sequence of five different geometric shapes arranged in a row. From left to right, the shapes are: A purple triangle, a blue circle, a pink hexagon, a green rectangle, and an orange square. Each shape is filled with a distinct colour and outlined in black.

Objectives: This chapter

  • Defines geometry.
  • Describes geometric figures.
  • Explain two-dimensional and three-dimensional figures.
  • Defines the Perimeter and Area of 2D (two-dimensional) shapes.
  • Defines the surface area and volume of 3D(three-dimensional) shapes.

3.1 Introduction

Geometry is one of the oldest and most practical branches of mathematics that deals with the shapes and sizes of different shapes and their properties. “GEOMETRY” was derived from a Greek word meaning “EARTH MEASUREMENT.”

Objects that have boundary lines, angles, and surfaces are considered SHAPES. A regular is a symmetrical shape such as a square, circle, etc., whereas Irregular shapes are also called freeform shapes or organic shapes; they are asymmetrical. For example: the shape of a tree is irregular or organic.

3.2 Geometry

3.2.1 One-Dimensional Geometry

Point and line: The location of any object with no length, width, or depth is known as a point in. A dot in the figure shows a point. A point is considered zero-dimensional, while a line is one-dimensional, and its length can be measured.

A diagram illustrates the concept of one-dimensional geometry, specifically points and lines. It includes a horizontal line with three labelled points (A, B, and C) marked by black dots. The point has no length, width, or depth, making it zero-dimensional. Arrows at both ends indicate the line extends infinitely.

3.2.2 Two-Dimensional Geometry

A flat plane figure or a shape with two dimensions is called a two-dimensional shape. It can be defined as length and width. These shapes are flat and ...

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Publisher Resources

ISBN: 9781394214587