Exercises of Flat Geometry

Exercises of Flat Geometry

SIMONE MALACRIDA

In this book, exercises are carried out regarding the following mathematical topics:

angles, lines and segments

circumference and curves

triangles, quadrilaterals and polygons

Initial theoretical hints are also presented to make the performance of the exercises understood.

Simone Malacrida (1977)

Engineer and writer, has worked on research, finance, energy policy and industrial plants.

ANALYTICAL INDEX

––––––––

INTRODUCTION

––––––––

I – THEORETICAL OUTLINE

Elementary concepts

Circumference

Ellipse

Parable

Polygons: definitions

Triangle

Quadrilaterals

More polygons

––––––––

II – EXERCISES

Exercise 1

Exercise 2

Exercise 3

Exercise 4

Exercise 5

Exercise 6

Exercise 7

Exercise 8

Exercise 9

Exercise 10

Exercise 11

Exercise 12

Exercise 13

INTRODUCTION

In this workbook some examples of calculations related to plane geometry are carried out.

Geometry is characterized as one of the main fields of mathematics and the study of plane geometry is the basis for understanding any other evolution.

In order to understand in more detail what is presented in the resolution of the exercises, the theoretical reference context is recalled in the first chapter.

What is presented in this workbook is generally addressed during the first two years of high school.

I

THEORETICAL OUTLINE

Elementary concepts

––––––––

Geometry is that branch of mathematics that deals with shapes and figures in a given setting.

Below we give the foundations of elementary geometry, largely developed already in ancient Greece.

––––––––

The primitive concept of geometry is the point, conceived as a dimensionless and indivisible entity, which characterizes the position and is characterized by it .

––––––––

An infinite and successive set of points is called