• Study Resource
  • Explore
    • 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 →
 
Sign in Sign up
Upload
Mathematics - Geometry
Mathematics - Geometry

Geometry
Geometry

Tennessee Mathematics Standards
Tennessee Mathematics Standards

Content, Methods, and Context of the Theory of Parallels
Content, Methods, and Context of the Theory of Parallels

Geometry - Hickman County Schools
Geometry - Hickman County Schools

Chapter 3: Parallel and Perpendicular Lines
Chapter 3: Parallel and Perpendicular Lines

geometric separability
geometric separability

Std . 9th, Maharashtra Board - Target
Std . 9th, Maharashtra Board - Target

Plane and Solid Geometry
Plane and Solid Geometry

Hyperbolic plane geometry revisited
Hyperbolic plane geometry revisited

Plane and solid geometry : with problems and applications
Plane and solid geometry : with problems and applications

CHAPTER 1. LINES AND PLANES IN SPACE §1. Angles and
CHAPTER 1. LINES AND PLANES IN SPACE ยง1. Angles and

First Semester (August - December) Final Review
First Semester (August - December) Final Review

Compiled and Solved Problems in Geometry and
Compiled and Solved Problems in Geometry and

Parallel and Perpendicular Lines
Parallel and Perpendicular Lines

CHAPTER 7 Pictorial Projections
CHAPTER 7 Pictorial Projections

gem 8 mid-term review guide
gem 8 mid-term review guide

Chapter 3: Parallel and Perpendicular Lines
Chapter 3: Parallel and Perpendicular Lines

Chapter 3: Parallel and Perpendicular Lines
Chapter 3: Parallel and Perpendicular Lines

Proof of some notable properties with which
Proof of some notable properties with which

Foundations for Geometry - White Plains Public Schools
Foundations for Geometry - White Plains Public Schools

Parallel and Perpendicular Lines
Parallel and Perpendicular Lines

Geometry Semester 1 Final Semester 1 Practice Final
Geometry Semester 1 Final Semester 1 Practice Final

Chapter 3: Parallel and Perpendicular Lines
Chapter 3: Parallel and Perpendicular Lines

Chapter 3: Parallel and Perpendicular Lines
Chapter 3: Parallel and Perpendicular Lines

1 2 3 4 5 ... 37 >

Projective plane



In mathematics, a projective plane is a geometric structure that extends the concept of a plane. In the ordinary Euclidean plane, two lines typically intersect in a single point, but there are some pairs of lines (namely, parallel lines) that do not intersect. A projective plane can be thought of as an ordinary plane equipped with additional ""points at infinity"" where parallel lines intersect. Thus any two lines in a projective plane intersect in one and only one point.Renaissance artists, in developing the techniques of drawing in perspective, laid the groundwork for this mathematical topic. The archetypical example is the real projective plane, also known as the extended Euclidean plane. This example, in slightly different guises, is important in algebraic geometry, topology and projective geometry where it may be denoted variously by PG(2, R), RP2, or P2(R) among other notations. There are many other projective planes, both infinite, such as the complex projective plane, and finite, such as the Fano plane.A projective plane is a 2-dimensional projective space, but not all projective planes can be embedded in 3-dimensional projective spaces. The embedding property is a consequence of a result known as Desargues' theorem.
  • studyres.com © 2022
  • DMCA
  • Privacy
  • Terms
  • Report