• Study Resource
  • Explore Categories
    • Arts & Humanities
    • Business
    • Engineering & Technology
    • Foreign Language
    • History
    • Math
    • Science
    • Social Science

    Top subcategories

    • Advanced Math
    • Algebra
    • Basic Math
    • Calculus
    • Geometry
    • Linear Algebra
    • Pre-Algebra
    • Pre-Calculus
    • Statistics And Probability
    • Trigonometry
    • other →

    Top subcategories

    • Astronomy
    • Astrophysics
    • Biology
    • Chemistry
    • Earth Science
    • Environmental Science
    • Health Science
    • Physics
    • other →

    Top subcategories

    • Anthropology
    • Law
    • Political Science
    • Psychology
    • Sociology
    • other →

    Top subcategories

    • Accounting
    • Economics
    • Finance
    • Management
    • other →

    Top subcategories

    • Aerospace Engineering
    • Bioengineering
    • Chemical Engineering
    • Civil Engineering
    • Computer Science
    • Electrical Engineering
    • Industrial Engineering
    • Mechanical Engineering
    • Web Design
    • other →

    Top subcategories

    • Architecture
    • Communications
    • English
    • Gender Studies
    • Music
    • Performing Arts
    • Philosophy
    • Religious Studies
    • Writing
    • other →

    Top subcategories

    • Ancient History
    • European History
    • US History
    • World History
    • other →

    Top subcategories

    • Croatian
    • Czech
    • Finnish
    • Greek
    • Hindi
    • Japanese
    • Korean
    • Persian
    • Swedish
    • Turkish
    • other →
 
Profile Documents Logout
Upload
planegeometry - WordPress.com
planegeometry - WordPress.com

Some applications of vector methods to plane geometry and plane
Some applications of vector methods to plane geometry and plane

Midyear Exam broken down by Chapters Chapter 1: Section 1
Midyear Exam broken down by Chapters Chapter 1: Section 1

Unit Title - Achievement First
Unit Title - Achievement First

... triangle as isosceles. The importance of reading comprehension should be explicitly addressed – have scholars regularly state in their own words what a question is asking and which ‘trigger words’ in the question prompt tell them which formulas to use. Annotate the question! The midpoint formula tre ...
Geometry Overview
Geometry Overview

Angle Relationships Angle pairs:
Angle Relationships Angle pairs:

Document
Document

Properties of Parallel Lines
Properties of Parallel Lines

congruent triangles
congruent triangles

Chapter 2
Chapter 2

Harmonic Conjugates, pp.59-63. - International Journal of Computer
Harmonic Conjugates, pp.59-63. - International Journal of Computer

priority standards
priority standards

Topic 3 Notes - Lines and Planes
Topic 3 Notes - Lines and Planes

03 Spherical Geometry
03 Spherical Geometry

Geometry review for final w errors
Geometry review for final w errors

Solutions - Durham University
Solutions - Durham University

5 I  E
5 I E

Chapter 1 - West Jefferson Local Schools Home
Chapter 1 - West Jefferson Local Schools Home

... NAME POINTS, LINES, AND PLANES You are familiar with the terms plane, line, and point from algebra. You graph on a coordinate plane, and ordered pairs represent points on lines. In geometry, these terms have similar meanings. Unlike objects in the real world that model these shapes, points, lines, a ...
Math 3 packet for Unit 1 - Plane Geometry part 1 complementary
Math 3 packet for Unit 1 - Plane Geometry part 1 complementary

Exercise sheet 3
Exercise sheet 3

... ∗ (IMO 2007) In triangle ABC the bisector of the angle BCA intersects the circumcircle again at R, the perpendicular bisector of BC at P , and the perpendicular bisector of AC at Q. The midpoint of BC is K and the midpoint of AC is L. Prove that the triangles RP K and RQL have the same area. ∗ Let A ...
skew, trans, and special angles
skew, trans, and special angles

Geometry Vocabulary - Math with Miss McLean
Geometry Vocabulary - Math with Miss McLean

2.2 Biconditional Statements
2.2 Biconditional Statements

Homology Group - Computer Science, Stony Brook University
Homology Group - Computer Science, Stony Brook University

Spherical Triangles and Girard`s Theorem
Spherical Triangles and Girard`s Theorem

< 1 ... 33 34 35 36 37 38 39 40 41 ... 134 >

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.
  • studyres.com © 2025
  • DMCA
  • Privacy
  • Terms
  • Report