The Elements of Geometry - G9C3L1

The Elements of Geometry - G9C3L1

Objective

WWBAT DISCUSS the origin of Geometry and DEFINE basic elements.

Agenda

• Pre work discussion

• Euclid

• Elements - Point, Line, Plane.

• Definitions -

Pre Work

• How are the seeds in a sunflower shaped? Where else do we find this shape?

• What is the problem that ancient egyptians face every year? How did they solve it?

• In geometry, what do we study about?

• How does geometry help us in day to day life?

• Who is Euclid?

Geometry

Geometry is the study of shapes and sizes of structures.

The word geometry is derived from the Greek ‘geo’ means earth and ‘metria’

means measure.

Euclid

Multiple Choice

Geometry means

• Geo-river and metry-measure.

• Geo-trees and metry-measure.

• Geo-measure and metry-earth.

• Geo-earth or land and metry-measure.

Multiple Choice

Who is the father of geometry

• Euclid

• Archimedes

• Aristotle

• Euler

Multiple Choice

Ancient egyptians use geometry in

• Construction of rivers

• Designing greenery

• Making pyramids.

• All of the given options

Definition of terms

1. Point

A point is that which has no part.

2. Line

A line is breadth-less length.

3. End of line

The end of the a line are also points.

4. Straight Line

A straight line is a line that lies evenly with the points on itself.

5. Surface

A surface is that which has length and breadth only.

6. Edges.

Edges of a surface are lines.

7. Plane Surface.

A plane surface is a surface which lies evenly with the straight lines on itself.

No definitions - As per geometry

We also need to define part in the Euclid's definition of point but it would be difficult.

Hence A point, line and a plane (in

Euclid’s words a plane surface) as undefined terms in the course of geometry.

We can present them intuitively or explain them with the help of physical models.

Multiple Choice

A point is that which has

• a part.

• length

• no part.

• breadth

Multiple Choice

What are the ends of a line

• Point

• Surfaces

• Circles

• Line

Multiple Choice

A line has

• neither length nor breadth.

• both length and breadth.

• only breadth.

• only length.

Post Work

Draw a flowchart of history of mathematics by reading 3.2, Pg 59,60 in textbook.