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# What is Euclidean Geometry? Peirce

What is Euclidean Geometry?

by

Tweet## yamillex nunez

on 2 September 2010#### Transcript of What is Euclidean Geometry? Peirce

What is Euclidean Geometry? Euclidean geometry is the study of plane and solid figures on the basis of anxioms and theorems. Types of geometry Hypobolic

Euclidean

Elliptic

Euclidean geometry is employed by the greek mathematician Eulid. Speres cubes

cylinders triangles

Hexagons rays

lines points He was the first to show how these propositions could fit into a comprehensive deductive and logical system Euclidean geometry is an axiomatic system, in which all theorems are collected from a small number of anxioms Euclid gave 5 postulates for plane geometry 1.To draw a straight line from any point to any point.

2.To produce [extend] a finite straight line continuously in a straight line.

3.To describe a circle with any center and distance [radius].

4.That all right angles are equal to one another.

5.The parallel postulate: That, if a straight line falling on two straight lines make the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than the two right angles. Points are named using capitals letters. Other figures such as triangles, circles, and lines, are named by listing points from the figure Angles whose sum is a right angle are called complementary, those whose sum is a straight angle are supplementary important things the sum of the angles of a triangle is 180 degrees Pythagora's theorum: the sum of the two legs (a & b) squared, is equal to the hypotenus of a right triangle. Geometry is used in art and architecture.

The water tower consists of a cone, a cylinder, and a hemisphere. Its volume can be calculated using solid geometry.

Geometry can be used to design origami.

by: yamillex Nunez

Full transcriptEuclidean

Elliptic

Euclidean geometry is employed by the greek mathematician Eulid. Speres cubes

cylinders triangles

Hexagons rays

lines points He was the first to show how these propositions could fit into a comprehensive deductive and logical system Euclidean geometry is an axiomatic system, in which all theorems are collected from a small number of anxioms Euclid gave 5 postulates for plane geometry 1.To draw a straight line from any point to any point.

2.To produce [extend] a finite straight line continuously in a straight line.

3.To describe a circle with any center and distance [radius].

4.That all right angles are equal to one another.

5.The parallel postulate: That, if a straight line falling on two straight lines make the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than the two right angles. Points are named using capitals letters. Other figures such as triangles, circles, and lines, are named by listing points from the figure Angles whose sum is a right angle are called complementary, those whose sum is a straight angle are supplementary important things the sum of the angles of a triangle is 180 degrees Pythagora's theorum: the sum of the two legs (a & b) squared, is equal to the hypotenus of a right triangle. Geometry is used in art and architecture.

The water tower consists of a cone, a cylinder, and a hemisphere. Its volume can be calculated using solid geometry.

Geometry can be used to design origami.

by: yamillex Nunez