Circle Theorems[ ] Theorem 1a: 1. Open geogebra 2. Make a circle
Circle Theorems[ ] Theorem 1a: 1. Open geogebra 2. Make a circle

Drafting Boot Camp
Drafting Boot Camp

Axioms and Theorems
Axioms and Theorems

Geometry Notes Ch 13
Geometry Notes Ch 13

On Klein`s So-called Non
On Klein`s So-called Non

Study Guide for Geo MT Answer Key
Study Guide for Geo MT Answer Key

Biconditionals and Definitions
Biconditionals and Definitions

5-3 Bisectors in triangles
5-3 Bisectors in triangles

Definitions: An inscribed polygon is a polygon whose vertices are
Definitions: An inscribed polygon is a polygon whose vertices are

Unit 9 Vocabulary and Objectives File
Unit 9 Vocabulary and Objectives File

Non –Euclidean Geometry
Non –Euclidean Geometry

... Alternate Interior Angles Theorem Thm 4.1: Alterenate Interior Angles (AIA): If two lines cut by a transversal have a pair of congruent alternate interior angles, then the two lines parallel. Corr 1: Two lines perpendicular to the same line are parallel. Corr 2 (Euc I.31): If l is an line and P is ...
Geometry B - Arkansas Department of Education
Geometry B - Arkansas Department of Education

274 Curves on Surfaces, Lecture 5
274 Curves on Surfaces, Lecture 5

3.4 Warm Up y = mx + b 2.
3.4 Warm Up y = mx + b 2.

Emphasis Chart File
Emphasis Chart File

on plane geometric spanners: a survey and
on plane geometric spanners: a survey and

... graph built using a convex distance function defined by an equilateral triangle having one vertical side, as opposed to the L1 -metric diamond or L∞ -metric square, has a spanning ratio of 2 and that this bound is tight in the worst case. He refers to these equilateral triangles as tilted equilatera ...
Lab Project: Triangle Angles
Lab Project: Triangle Angles

Chapter 3 PowerPoint Slides File
Chapter 3 PowerPoint Slides File

Engineering Graphics
Engineering Graphics

Basic Ideas of Geometry
Basic Ideas of Geometry

Quasi-circumcenters and a Generalization of the Quasi
Quasi-circumcenters and a Generalization of the Quasi

Geometry B Course
Geometry B Course

Geometry RP - Piscataway High School
Geometry RP - Piscataway High School

Geometry, (2014) HMH Kanold, Burger, et al.
Geometry, (2014) HMH Kanold, Burger, et al.

Chapter 5 (version 3)
Chapter 5 (version 3)

Duality (projective geometry)

In geometry a striking feature of projective planes is the symmetry of the roles played by points and lines in the definitions and theorems, and (plane) duality is the formalization of this concept. There are two approaches to the subject of duality, one through language (§ Principle of Duality) and the other a more functional approach through special mappings. These are completely equivalent and either treatment has as its starting point the axiomatic version of the geometries under consideration. In the functional approach there is a map between related geometries that is called a duality. Such a map can be constructed in many ways. The concept of plane duality readily extends to space duality and beyond that to duality in any finite-dimensional projective geometry.