polygone

> find a polygon with n vertices that has a unique triangulation The number of triangulations of a fixed polygon P has much to do with the “shape” of the polygon One crucial measure of shape is the internal angles at the vertices A vertex of P is called reflex if its angle is greater than π and convex if its angle is less than or equal to π So

Geometry Basics 1 1 Euclid and Non-Euclid Ancient Greek mathematics was put into its ultimate deductive form by Euclid who lived roughly around 300 BCE In his work “The Elements”Euclid took an already developed large body of geometryand gave it logical order by isolating a few basic definitions and axiomsand

Introduction This document aims to guide the reader into the world of polytopes focusing on the familiar setting of polygons the two-dimensional polytopes We will assume the reader is comfortable with the Cartesian plane and ordered pairs of numbers Let's get right into it! Intuitively polygons are certain 2-dimensional shapes

Kuta Software - Infinite Geometry Name_____ Introduction to Polygons Date_____ Period____ Write the name of each polygon 1) heptagon 2) decagon 3) nonagon 4) hexagon 5) pentagon 6) nonagon 7) hexagon 8) nonagon State if each polygon is concave or convex 9) convex 10) convex-1-

edge or side Polygons contain two main types of angles interior angles and exterior angles Shown below is a regular pentagon Its interior angles are displayed in red and its exterior angles are in green The definition of an exterior angle is the angle you have to turn through in to change your direction from one side to that of the next side

ment of the euclidean geometry is clearly shown; for example it is shown that the whole of the euclidean geometry may be developed without the use of the axiom of continuity; the signifi-cance of Desargues’s theorem as a condition that a given plane geometry may be regarded as a part of a geometry of space is made apparent etc 5