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Geometry of projective space
Geometry of projective space -
MathHistory8: Projective geometry
MathHistory8: Projective geometryMathHistory8: Projective geometry
Projective geometry began with the work of Pappus, but was developed primarily by Desargues, with an important contribution by Pascal. Projective geometry is... -
WT31: Introduction to Projective Geometry
WT31: Introduction to Projective GeometryWT31: Introduction to Projective Geometry
A first look at Projective Geometry, starting with Pappus' theorem, Desargues theorem and a fundamental relation between quadrangles and quadrilaterals. This... -
Projective Geometry 1: Why Perspective Drawing Works
Projective Geometry 1: Why Perspective Drawing WorksProjective Geometry 1: Why Perspective Drawing Works
We begin our lecture series by describing the technique of perspective drawing which was responsible for popularizing projective geometry. We use an image of... -
WT32: Projective geometry and perspective
WT32: Projective geometry and perspectiveWT32: Projective geometry and perspective
Projective geometry has close links to artist's attempts to render accurately three dimensional objects in two dimensions. We introduce three basic rules for... -
ElemMath 11 (K-6) Explained: Elementary projective (line) geometry
ElemMath 11 (K-6) Explained: Elementary projective (line) geometryElemMath 11 (K-6) Explained: Elementary projective (line) geometry
Elementary projective geometry is just the geometry of a line, or straightedge. It was introduced by Pappus around 300 A.D., and is ideally suited for K-6 ed... -
Differences Between Plane Euclidean Geometry & Projective Geometry : Math for Everyone
Differences Between Plane Euclidean Geometry & Projective Geometry : Math for EveryoneDifferences Between Plane Euclidean Geometry & Projective Geometry : Math for Everyone
Subscribe Now: http://www.youtube.com/subscription_center?add_user=ehoweducation Watch More: http://www.youtube.com/ehoweducation Euclidean geometry is basically all the geometry you've learned in high school. Find out differences between plane Euclidean geometry and projective geometry with help from an experienced math professional in this free video clip. Expert: Charlie Kasov Filmmaker: Victor Varnado Series Description: Math is a subject that is looked at as complicated by many, but it really isn't as scary as you might think. Learn about math for everyone with help from an experienced math professional in this free video series. -
UnivHypGeom7a: The circle and projective homogeneous coordinates
UnivHypGeom7a: The circle and projective homogeneous coordinatesUnivHypGeom7a: The circle and projective homogeneous coordinates
Universal hyperbolic geometry is based on projective geometry. This video introduces this important subject, which these days is sadly absent from most under... -
WT33: Projective geometry and homogeneous coordinates
WT33: Projective geometry and homogeneous coordinatesWT33: Projective geometry and homogeneous coordinates
One of the most important mathematical advances occurred in the 1800's with the introduction of homogeneous coordinates to describe the true nature of the pr... -
WT40: The fundamental theorem of projective geometry
WT40: The fundamental theorem of projective geometryWT40: The fundamental theorem of projective geometry
The fundamental theorem of projective geometry states that any four planar non-collinear points (a quadrangle) can be sent to any quadrangle via a projectivi... -
WT41: Conics via projective geometry
WT41: Conics via projective geometryWT41: Conics via projective geometry
Conics, such as circles, ellipses, hyperbolas and parabolas, can be defined purely within projective geometry, as realized by the nineteenth century German m... -
Noncommutative Projective Geometry I (Dan Rogalski @ MSRI)
Noncommutative Projective Geometry I (Dan Rogalski @ MSRI)Noncommutative Projective Geometry I (Dan Rogalski @ MSRI)
From the MSRI summer graduate school "Noncommutative Algebraic Geometry" that took place at MSRI, Berkeley in June 2012. The workshop page (with videos and r... -
MathHistory12: Non-Euclidean geometry
MathHistory12: Non-Euclidean geometryMathHistory12: Non-Euclidean geometry
The development of non-Euclidean geometry is often presented as a high point of 19th century mathematics. The real story is more complicated, tinged with sad... -
WT34: Lines and planes in projective geometry
WT34: Lines and planes in projective geometryWT34: Lines and planes in projective geometry
How to think about both projective points and projective lines via lines and planes in 3D geometry. Also we discuss some basic facts about 3D geometry, relat...
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Geometry of projective space
Geometry of projective spaceGeometry of projective space
Jon Hanke (University of Georgia) — April 4, 2012. -
MathHistory8: Projective geometry
MathHistory8: Projective geometryMathHistory8: Projective geometry
Projective geometry began with the work of Pappus, but was developed primarily by Desargues, with an important contribution by Pascal. Projective geometry is... -
WT31: Introduction to Projective Geometry
WT31: Introduction to Projective GeometryWT31: Introduction to Projective Geometry
A first look at Projective Geometry, starting with Pappus' theorem, Desargues theorem and a fundamental relation between quadrangles and quadrilaterals. This... -
Projective Geometry 1: Why Perspective Drawing Works
Projective Geometry 1: Why Perspective Drawing WorksProjective Geometry 1: Why Perspective Drawing Works
We begin our lecture series by describing the technique of perspective drawing which was responsible for popularizing projective geometry. We use an image of... -
WT32: Projective geometry and perspective
WT32: Projective geometry and perspectiveWT32: Projective geometry and perspective
Projective geometry has close links to artist's attempts to render accurately three dimensional objects in two dimensions. We introduce three basic rules for... -
ElemMath 11 (K-6) Explained: Elementary projective (line) geometry
ElemMath 11 (K-6) Explained: Elementary projective (line) geometryElemMath 11 (K-6) Explained: Elementary projective (line) geometry
Elementary projective geometry is just the geometry of a line, or straightedge. It was introduced by Pappus around 300 A.D., and is ideally suited for K-6 ed... -
Differences Between Plane Euclidean Geometry & Projective Geometry : Math for Everyone
Differences Between Plane Euclidean Geometry & Projective Geometry : Math for EveryoneDifferences Between Plane Euclidean Geometry & Projective Geometry : Math for Everyone
Subscribe Now: http://www.youtube.com/subscription_center?add_user=ehoweducation Watch More: http://www.youtube.com/ehoweducation Euclidean geometry is basically all the geometry you've learned in high school. Find out differences between plane Euclidean geometry and projective geometry with help from an experienced math professional in this free video clip. Expert: Charlie Kasov Filmmaker: Victor Varnado Series Description: Math is a subject that is looked at as complicated by many, but it really isn't as scary as you might think. Learn about math for everyone with help from an experienced math professional in this free video series. -
UnivHypGeom7a: The circle and projective homogeneous coordinates
UnivHypGeom7a: The circle and projective homogeneous coordinatesUnivHypGeom7a: The circle and projective homogeneous coordinates
Universal hyperbolic geometry is based on projective geometry. This video introduces this important subject, which these days is sadly absent from most under... -
WT33: Projective geometry and homogeneous coordinates
WT33: Projective geometry and homogeneous coordinatesWT33: Projective geometry and homogeneous coordinates
One of the most important mathematical advances occurred in the 1800's with the introduction of homogeneous coordinates to describe the true nature of the pr... -
WT40: The fundamental theorem of projective geometry
WT40: The fundamental theorem of projective geometryWT40: The fundamental theorem of projective geometry
The fundamental theorem of projective geometry states that any four planar non-collinear points (a quadrangle) can be sent to any quadrangle via a projectivi... -
WT41: Conics via projective geometry
WT41: Conics via projective geometryWT41: Conics via projective geometry
Conics, such as circles, ellipses, hyperbolas and parabolas, can be defined purely within projective geometry, as realized by the nineteenth century German m... -
Noncommutative Projective Geometry I (Dan Rogalski @ MSRI)
Noncommutative Projective Geometry I (Dan Rogalski @ MSRI)Noncommutative Projective Geometry I (Dan Rogalski @ MSRI)
From the MSRI summer graduate school "Noncommutative Algebraic Geometry" that took place at MSRI, Berkeley in June 2012. The workshop page (with videos and r... -
MathHistory12: Non-Euclidean geometry
MathHistory12: Non-Euclidean geometryMathHistory12: Non-Euclidean geometry
The development of non-Euclidean geometry is often presented as a high point of 19th century mathematics. The real story is more complicated, tinged with sad... -
WT34: Lines and planes in projective geometry
WT34: Lines and planes in projective geometryWT34: Lines and planes in projective geometry
How to think about both projective points and projective lines via lines and planes in 3D geometry. Also we discuss some basic facts about 3D geometry, relat... -
Noncommutative Projective Geometry IV (Dan Rogalski @ MSRI)
Noncommutative Projective Geometry IV (Dan Rogalski @ MSRI)Noncommutative Projective Geometry IV (Dan Rogalski @ MSRI)
From the MSRI summer graduate school "Noncommutative Algebraic Geometry" that took place at MSRI, Berkeley in June 2012. The workshop page (with videos and r... -
Basic Projective Geometry.
Basic Projective Geometry.Basic Projective Geometry.
Projective Geometry. -
Noncommutative Projective Geometry III (Dan Rogalski @ MSRI)
Noncommutative Projective Geometry III (Dan Rogalski @ MSRI)Noncommutative Projective Geometry III (Dan Rogalski @ MSRI)
From the MSRI summer graduate school "Noncommutative Algebraic Geometry" that took place at MSRI, Berkeley in June 2012. The workshop page (with videos and r... -
Pascal's Theorem in Projective Geometry.
Pascal's Theorem in Projective Geometry.Pascal's Theorem in Projective Geometry.
Pascal's Theorem in Projective Geometry. -
Noncommutative Projective Geometry V (Dan Rogalski @ MSRI)
Noncommutative Projective Geometry V (Dan Rogalski @ MSRI)Noncommutative Projective Geometry V (Dan Rogalski @ MSRI)
From the MSRI summer graduate school "Noncommutative Algebraic Geometry" that took place at MSRI, Berkeley in June 2012. The workshop page (with videos and r... -
dr Jan Gutt: Projective geometry of simple nonholonomic models
dr Jan Gutt: Projective geometry of simple nonholonomic modelsdr Jan Gutt: Projective geometry of simple nonholonomic models
dr Jan Gutt (Centrum Fizyki Teoretycznej PAN) Prezentacja: http://tinyurl.com/nweagwd Środowe seminarium CFT PAN. 2014.01.15 http://www.cft.edu.pl/cft_work/s... -
Noncommutative Projective Geometry II (Dan Rogalski @ MSRI)
Noncommutative Projective Geometry II (Dan Rogalski @ MSRI)Noncommutative Projective Geometry II (Dan Rogalski @ MSRI)
From the MSRI summer graduate school "Noncommutative Algebraic Geometry" that took place at MSRI, Berkeley in June 2012. The workshop page (with videos and r... -
Fano Plane: Discrete and Projective Geometry.
Fano Plane: Discrete and Projective Geometry.Fano Plane: Discrete and Projective Geometry.
Fano Plane: Discrete and Projective Geometry. -
Projective Geometry SIMUW 2014 Special Lecture Clip 1
Projective Geometry SIMUW 2014 Special Lecture Clip 1Projective Geometry SIMUW 2014 Special Lecture Clip 1
This is the first clip of a 2.5 hour lecture on projective geometry at a high school math camp at the University of Washington. See https://sites.google.com/site/nataliehobsonhomepage/presentations-slides-and-notes for notes and handouts from this lecture.
Geometry of projective space
- Duration: 58:05
- Updated: 03 Jul 2014
Jon Hanke (University of Georgia) — April 4, 2012.
http://wn.com/Geometry_of_projective_space
Jon Hanke (University of Georgia) — April 4, 2012.
- published: 25 Mar 2014
- views: 199
- author: UConn Math
MathHistory8: Projective geometry
- Duration: 69:42
- Updated: 02 Sep 2014
Projective geometry began with the work of Pappus, but was developed primarily by Desargues, with an important contribution by Pascal. Projective geometry is...
http://wn.com/MathHistory8_Projective_geometry
Projective geometry began with the work of Pappus, but was developed primarily by Desargues, with an important contribution by Pascal. Projective geometry is...
- published: 10 May 2011
- views: 19581
- author: njwildberger
WT31: Introduction to Projective Geometry
- Duration: 7:22
- Updated: 16 Aug 2014
A first look at Projective Geometry, starting with Pappus' theorem, Desargues theorem and a fundamental relation between quadrangles and quadrilaterals. This...
http://wn.com/WT31_Introduction_to_Projective_Geometry
A first look at Projective Geometry, starting with Pappus' theorem, Desargues theorem and a fundamental relation between quadrangles and quadrilaterals. This...
- published: 06 Dec 2008
- views: 25552
- author: njwildberger
Projective Geometry 1: Why Perspective Drawing Works
- Duration: 37:51
- Updated: 11 Aug 2014
We begin our lecture series by describing the technique of perspective drawing which was responsible for popularizing projective geometry. We use an image of...
http://wn.com/Projective_Geometry_1_Why_Perspective_Drawing_Works
We begin our lecture series by describing the technique of perspective drawing which was responsible for popularizing projective geometry. We use an image of...
- published: 20 Mar 2014
- views: 783
- author: Richard Southwell
WT32: Projective geometry and perspective
- Duration: 9:51
- Updated: 01 Sep 2014
Projective geometry has close links to artist's attempts to render accurately three dimensional objects in two dimensions. We introduce three basic rules for...
http://wn.com/WT32_Projective_geometry_and_perspective
Projective geometry has close links to artist's attempts to render accurately three dimensional objects in two dimensions. We introduce three basic rules for...
- published: 29 Dec 2008
- views: 12573
- author: njwildberger
ElemMath 11 (K-6) Explained: Elementary projective (line) geometry
- Duration: 35:41
- Updated: 02 Jul 2014
Elementary projective geometry is just the geometry of a line, or straightedge. It was introduced by Pappus around 300 A.D., and is ideally suited for K-6 ed...
http://wn.com/ElemMath_11_(K-6)_Explained_Elementary_projective_(line)_geometry
Elementary projective geometry is just the geometry of a line, or straightedge. It was introduced by Pappus around 300 A.D., and is ideally suited for K-6 ed...
- published: 16 Apr 2012
- views: 2527
- author: njwildberger
Differences Between Plane Euclidean Geometry & Projective Geometry : Math for Everyone
- Duration: 1:36
- Updated: 01 Mar 2014
Subscribe Now:
http://www.youtube.com/subscription_center?add_user=ehoweducation
Watch More:
http://www.youtube.com/ehoweducation
Euclidean geometry is basically all the geometry you've learned in high school. Find out differences between plane Euclidean geometry and projective geometry with help from an experienced math professional in this free video clip.
Expert: Charlie Kasov
Filmmaker: Victor Varnado
Series Description: Math is a subject that is looked at as complicated by many, but it really isn't as scary as you might think. Learn about math for everyone with help from an experienced math professional in this free video series.
http://wn.com/Differences_Between_Plane_Euclidean_Geometry_&_Projective_Geometry_Math_for_Everyone
Subscribe Now:
http://www.youtube.com/subscription_center?add_user=ehoweducation
Watch More:
http://www.youtube.com/ehoweducation
Euclidean geometry is basically all the geometry you've learned in high school. Find out differences between plane Euclidean geometry and projective geometry with help from an experienced math professional in this free video clip.
Expert: Charlie Kasov
Filmmaker: Victor Varnado
Series Description: Math is a subject that is looked at as complicated by many, but it really isn't as scary as you might think. Learn about math for everyone with help from an experienced math professional in this free video series.
- published: 01 Mar 2014
- views: 0
UnivHypGeom7a: The circle and projective homogeneous coordinates
- Duration: 37:40
- Updated: 15 Jul 2014
Universal hyperbolic geometry is based on projective geometry. This video introduces this important subject, which these days is sadly absent from most under...
http://wn.com/UnivHypGeom7a_The_circle_and_projective_homogeneous_coordinates
Universal hyperbolic geometry is based on projective geometry. This video introduces this important subject, which these days is sadly absent from most under...
- published: 02 May 2011
- views: 4442
- author: njwildberger
WT33: Projective geometry and homogeneous coordinates
- Duration: 7:57
- Updated: 04 Sep 2014
One of the most important mathematical advances occurred in the 1800's with the introduction of homogeneous coordinates to describe the true nature of the pr...
http://wn.com/WT33_Projective_geometry_and_homogeneous_coordinates
One of the most important mathematical advances occurred in the 1800's with the introduction of homogeneous coordinates to describe the true nature of the pr...
- published: 29 Jan 2009
- views: 18861
- author: njwildberger
WT40: The fundamental theorem of projective geometry
- Duration: 9:17
- Updated: 25 Jul 2013
The fundamental theorem of projective geometry states that any four planar non-collinear points (a quadrangle) can be sent to any quadrangle via a projectivi...
http://wn.com/WT40_The_fundamental_theorem_of_projective_geometry
The fundamental theorem of projective geometry states that any four planar non-collinear points (a quadrangle) can be sent to any quadrangle via a projectivi...
- published: 11 Jun 2009
- views: 4948
- author: njwildberger
WT41: Conics via projective geometry
- Duration: 8:46
- Updated: 13 Aug 2013
Conics, such as circles, ellipses, hyperbolas and parabolas, can be defined purely within projective geometry, as realized by the nineteenth century German m...
http://wn.com/WT41_Conics_via_projective_geometry
Conics, such as circles, ellipses, hyperbolas and parabolas, can be defined purely within projective geometry, as realized by the nineteenth century German m...
- published: 12 Jun 2009
- views: 6976
- author: njwildberger
Noncommutative Projective Geometry I (Dan Rogalski @ MSRI)
- Duration: 89:07
- Updated: 25 Jul 2014
From the MSRI summer graduate school "Noncommutative Algebraic Geometry" that took place at MSRI, Berkeley in June 2012. The workshop page (with videos and r...
http://wn.com/Noncommutative_Projective_Geometry_I_(Dan_Rogalski_@_MSRI)
From the MSRI summer graduate school "Noncommutative Algebraic Geometry" that took place at MSRI, Berkeley in June 2012. The workshop page (with videos and r...
- published: 25 Jul 2014
- views: 19
- author: LeonhardEuler1
MathHistory12: Non-Euclidean geometry
- Duration: 50:52
- Updated: 05 Sep 2014
The development of non-Euclidean geometry is often presented as a high point of 19th century mathematics. The real story is more complicated, tinged with sad...
http://wn.com/MathHistory12_Non-Euclidean_geometry
The development of non-Euclidean geometry is often presented as a high point of 19th century mathematics. The real story is more complicated, tinged with sad...
- published: 06 Jun 2011
- views: 29719
- author: njwildberger
WT34: Lines and planes in projective geometry
- Duration: 8:19
- Updated: 13 Aug 2013
How to think about both projective points and projective lines via lines and planes in 3D geometry. Also we discuss some basic facts about 3D geometry, relat...
http://wn.com/WT34_Lines_and_planes_in_projective_geometry
How to think about both projective points and projective lines via lines and planes in 3D geometry. Also we discuss some basic facts about 3D geometry, relat...
- published: 22 Mar 2009
- views: 9717
- author: njwildberger
Noncommutative Projective Geometry IV (Dan Rogalski @ MSRI)
- Duration: 84:36
- Updated: 25 Jul 2014
From the MSRI summer graduate school "Noncommutative Algebraic Geometry" that took place at MSRI, Berkeley in June 2012. The workshop page (with videos and r...
http://wn.com/Noncommutative_Projective_Geometry_IV_(Dan_Rogalski_@_MSRI)
From the MSRI summer graduate school "Noncommutative Algebraic Geometry" that took place at MSRI, Berkeley in June 2012. The workshop page (with videos and r...
- published: 25 Jul 2014
- views: 4
- author: LeonhardEuler1
Basic Projective Geometry.
- Duration: 0:40
- Updated: 18 Mar 2013
Projective Geometry.
http://wn.com/Basic_Projective_Geometry.
Noncommutative Projective Geometry III (Dan Rogalski @ MSRI)
- Duration: 88:01
- Updated: 25 Jul 2014
From the MSRI summer graduate school "Noncommutative Algebraic Geometry" that took place at MSRI, Berkeley in June 2012. The workshop page (with videos and r...
http://wn.com/Noncommutative_Projective_Geometry_III_(Dan_Rogalski_@_MSRI)
From the MSRI summer graduate school "Noncommutative Algebraic Geometry" that took place at MSRI, Berkeley in June 2012. The workshop page (with videos and r...
- published: 25 Jul 2014
- views: 3
- author: LeonhardEuler1
Pascal's Theorem in Projective Geometry.
- Duration: 0:26
- Updated: 28 Nov 2013
Pascal's Theorem in Projective Geometry.
http://wn.com/Pascal's_Theorem_in_Projective_Geometry.
Pascal's Theorem in Projective Geometry.
- published: 31 Jul 2009
- views: 1182
- author: Kenneth Sharratt
Noncommutative Projective Geometry V (Dan Rogalski @ MSRI)
- Duration: 87:29
- Updated: 25 Jul 2014
From the MSRI summer graduate school "Noncommutative Algebraic Geometry" that took place at MSRI, Berkeley in June 2012. The workshop page (with videos and r...
http://wn.com/Noncommutative_Projective_Geometry_V_(Dan_Rogalski_@_MSRI)
From the MSRI summer graduate school "Noncommutative Algebraic Geometry" that took place at MSRI, Berkeley in June 2012. The workshop page (with videos and r...
- published: 25 Jul 2014
- views: 5
- author: LeonhardEuler1
dr Jan Gutt: Projective geometry of simple nonholonomic models
- Duration: 61:13
- Updated: 01 Apr 2014
dr Jan Gutt (Centrum Fizyki Teoretycznej PAN) Prezentacja: http://tinyurl.com/nweagwd Środowe seminarium CFT PAN. 2014.01.15 http://www.cft.edu.pl/cft_work/s...
http://wn.com/dr_Jan_Gutt_Projective_geometry_of_simple_nonholonomic_models
dr Jan Gutt (Centrum Fizyki Teoretycznej PAN) Prezentacja: http://tinyurl.com/nweagwd Środowe seminarium CFT PAN. 2014.01.15 http://www.cft.edu.pl/cft_work/s...
- published: 21 Jan 2014
- views: 185
- author: Centrum Fizyki Teoretycznej PAN
Noncommutative Projective Geometry II (Dan Rogalski @ MSRI)
- Duration: 82:49
- Updated: 25 Jul 2014
From the MSRI summer graduate school "Noncommutative Algebraic Geometry" that took place at MSRI, Berkeley in June 2012. The workshop page (with videos and r...
http://wn.com/Noncommutative_Projective_Geometry_II_(Dan_Rogalski_@_MSRI)
From the MSRI summer graduate school "Noncommutative Algebraic Geometry" that took place at MSRI, Berkeley in June 2012. The workshop page (with videos and r...
- published: 25 Jul 2014
- views: 6
- author: LeonhardEuler1
Fano Plane: Discrete and Projective Geometry.
- Duration: 1:37
- Updated: 10 Dec 2012
Fano Plane: Discrete and Projective Geometry.
http://wn.com/Fano_Plane_Discrete_and_Projective_Geometry.
Fano Plane: Discrete and Projective Geometry.
- published: 28 Jul 2009
- views: 1487
- author: Kenneth Sharratt
Projective Geometry SIMUW 2014 Special Lecture Clip 1
- Duration: 1:57
- Updated: 01 Aug 2014
This is the first clip of a 2.5 hour lecture on projective geometry at a high school math camp at the University of Washington. See https://sites.google.com/site/nataliehobsonhomepage/presentations-slides-and-notes for notes and handouts from this lecture.
http://wn.com/Projective_Geometry_SIMUW_2014_Special_Lecture_Clip_1
This is the first clip of a 2.5 hour lecture on projective geometry at a high school math camp at the University of Washington. See https://sites.google.com/site/nataliehobsonhomepage/presentations-slides-and-notes for notes and handouts from this lecture.
- published: 01 Aug 2014
- views: 7
58:05
Geometry of projective space
Jon Hanke (University of Georgia) — April 4, 2012....
published: 25 Mar 2014
author: UConn Math
Geometry of projective space
Geometry of projective space
Jon Hanke (University of Georgia) — April 4, 2012.- published: 25 Mar 2014
- views: 199
- author: UConn Math
69:42
MathHistory8: Projective geometry
Projective geometry began with the work of Pappus, but was developed primarily by Desargue...
published: 10 May 2011
author: njwildberger
MathHistory8: Projective geometry
MathHistory8: Projective geometry
Projective geometry began with the work of Pappus, but was developed primarily by Desargues, with an important contribution by Pascal. Projective geometry is...- published: 10 May 2011
- views: 19581
- author: njwildberger
7:22
WT31: Introduction to Projective Geometry
A first look at Projective Geometry, starting with Pappus' theorem, Desargues theorem and ...
published: 06 Dec 2008
author: njwildberger
WT31: Introduction to Projective Geometry
WT31: Introduction to Projective Geometry
A first look at Projective Geometry, starting with Pappus' theorem, Desargues theorem and a fundamental relation between quadrangles and quadrilaterals. This...- published: 06 Dec 2008
- views: 25552
- author: njwildberger
37:51
Projective Geometry 1: Why Perspective Drawing Works
We begin our lecture series by describing the technique of perspective drawing which was r...
published: 20 Mar 2014
author: Richard Southwell
Projective Geometry 1: Why Perspective Drawing Works
Projective Geometry 1: Why Perspective Drawing Works
We begin our lecture series by describing the technique of perspective drawing which was responsible for popularizing projective geometry. We use an image of...- published: 20 Mar 2014
- views: 783
- author: Richard Southwell
9:51
WT32: Projective geometry and perspective
Projective geometry has close links to artist's attempts to render accurately three dimens...
published: 29 Dec 2008
author: njwildberger
WT32: Projective geometry and perspective
WT32: Projective geometry and perspective
Projective geometry has close links to artist's attempts to render accurately three dimensional objects in two dimensions. We introduce three basic rules for...- published: 29 Dec 2008
- views: 12573
- author: njwildberger
35:41
ElemMath 11 (K-6) Explained: Elementary projective (line) geometry
Elementary projective geometry is just the geometry of a line, or straightedge. It was int...
published: 16 Apr 2012
author: njwildberger
ElemMath 11 (K-6) Explained: Elementary projective (line) geometry
ElemMath 11 (K-6) Explained: Elementary projective (line) geometry
Elementary projective geometry is just the geometry of a line, or straightedge. It was introduced by Pappus around 300 A.D., and is ideally suited for K-6 ed...- published: 16 Apr 2012
- views: 2527
- author: njwildberger
1:36
Differences Between Plane Euclidean Geometry & Projective Geometry : Math for Everyone
Subscribe Now:
http://www.youtube.com/subscription_center?add_user=ehoweducation
Watch Mo...
published: 01 Mar 2014
Differences Between Plane Euclidean Geometry & Projective Geometry : Math for Everyone
Differences Between Plane Euclidean Geometry & Projective Geometry : Math for Everyone
Subscribe Now: http://www.youtube.com/subscription_center?add_user=ehoweducation Watch More: http://www.youtube.com/ehoweducation Euclidean geometry is basically all the geometry you've learned in high school. Find out differences between plane Euclidean geometry and projective geometry with help from an experienced math professional in this free video clip. Expert: Charlie Kasov Filmmaker: Victor Varnado Series Description: Math is a subject that is looked at as complicated by many, but it really isn't as scary as you might think. Learn about math for everyone with help from an experienced math professional in this free video series.- published: 01 Mar 2014
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37:40
UnivHypGeom7a: The circle and projective homogeneous coordinates
Universal hyperbolic geometry is based on projective geometry. This video introduces this ...
published: 02 May 2011
author: njwildberger
UnivHypGeom7a: The circle and projective homogeneous coordinates
UnivHypGeom7a: The circle and projective homogeneous coordinates
Universal hyperbolic geometry is based on projective geometry. This video introduces this important subject, which these days is sadly absent from most under...- published: 02 May 2011
- views: 4442
- author: njwildberger
7:57
WT33: Projective geometry and homogeneous coordinates
One of the most important mathematical advances occurred in the 1800's with the introducti...
published: 29 Jan 2009
author: njwildberger
WT33: Projective geometry and homogeneous coordinates
WT33: Projective geometry and homogeneous coordinates
One of the most important mathematical advances occurred in the 1800's with the introduction of homogeneous coordinates to describe the true nature of the pr...- published: 29 Jan 2009
- views: 18861
- author: njwildberger
9:17
WT40: The fundamental theorem of projective geometry
The fundamental theorem of projective geometry states that any four planar non-collinear p...
published: 11 Jun 2009
author: njwildberger
WT40: The fundamental theorem of projective geometry
WT40: The fundamental theorem of projective geometry
The fundamental theorem of projective geometry states that any four planar non-collinear points (a quadrangle) can be sent to any quadrangle via a projectivi...- published: 11 Jun 2009
- views: 4948
- author: njwildberger
8:46
WT41: Conics via projective geometry
Conics, such as circles, ellipses, hyperbolas and parabolas, can be defined purely within ...
published: 12 Jun 2009
author: njwildberger
WT41: Conics via projective geometry
WT41: Conics via projective geometry
Conics, such as circles, ellipses, hyperbolas and parabolas, can be defined purely within projective geometry, as realized by the nineteenth century German m...- published: 12 Jun 2009
- views: 6976
- author: njwildberger
89:07
Noncommutative Projective Geometry I (Dan Rogalski @ MSRI)
From the MSRI summer graduate school "Noncommutative Algebraic Geometry" that took place a...
published: 25 Jul 2014
author: LeonhardEuler1
Noncommutative Projective Geometry I (Dan Rogalski @ MSRI)
Noncommutative Projective Geometry I (Dan Rogalski @ MSRI)
From the MSRI summer graduate school "Noncommutative Algebraic Geometry" that took place at MSRI, Berkeley in June 2012. The workshop page (with videos and r...- published: 25 Jul 2014
- views: 19
- author: LeonhardEuler1
50:52
MathHistory12: Non-Euclidean geometry
The development of non-Euclidean geometry is often presented as a high point of 19th centu...
published: 06 Jun 2011
author: njwildberger
MathHistory12: Non-Euclidean geometry
MathHistory12: Non-Euclidean geometry
The development of non-Euclidean geometry is often presented as a high point of 19th century mathematics. The real story is more complicated, tinged with sad...- published: 06 Jun 2011
- views: 29719
- author: njwildberger
8:19
WT34: Lines and planes in projective geometry
How to think about both projective points and projective lines via lines and planes in 3D ...
published: 22 Mar 2009
author: njwildberger
WT34: Lines and planes in projective geometry
WT34: Lines and planes in projective geometry
How to think about both projective points and projective lines via lines and planes in 3D geometry. Also we discuss some basic facts about 3D geometry, relat...- published: 22 Mar 2009
- views: 9717
- author: njwildberger
Youtube results:
84:36
Noncommutative Projective Geometry IV (Dan Rogalski @ MSRI)
From the MSRI summer graduate school "Noncommutative Algebraic Geometry" that took place a...
published: 25 Jul 2014
author: LeonhardEuler1
Noncommutative Projective Geometry IV (Dan Rogalski @ MSRI)
Noncommutative Projective Geometry IV (Dan Rogalski @ MSRI)
From the MSRI summer graduate school "Noncommutative Algebraic Geometry" that took place at MSRI, Berkeley in June 2012. The workshop page (with videos and r...- published: 25 Jul 2014
- views: 4
- author: LeonhardEuler1
0:40
Basic Projective Geometry.
Projective Geometry....
published: 22 Aug 2009
author: Kenneth Sharratt
Basic Projective Geometry.
Basic Projective Geometry.
Projective Geometry.- published: 22 Aug 2009
- views: 3199
- author: Kenneth Sharratt
88:01
Noncommutative Projective Geometry III (Dan Rogalski @ MSRI)
From the MSRI summer graduate school "Noncommutative Algebraic Geometry" that took place a...
published: 25 Jul 2014
author: LeonhardEuler1
Noncommutative Projective Geometry III (Dan Rogalski @ MSRI)
Noncommutative Projective Geometry III (Dan Rogalski @ MSRI)
From the MSRI summer graduate school "Noncommutative Algebraic Geometry" that took place at MSRI, Berkeley in June 2012. The workshop page (with videos and r...- published: 25 Jul 2014
- views: 3
- author: LeonhardEuler1
0:26
Pascal's Theorem in Projective Geometry.
Pascal's Theorem in Projective Geometry....
published: 31 Jul 2009
author: Kenneth Sharratt
Pascal's Theorem in Projective Geometry.
Pascal's Theorem in Projective Geometry.
Pascal's Theorem in Projective Geometry.- published: 31 Jul 2009
- views: 1182
- author: Kenneth Sharratt
In mathematics, projective geometry is the study of geometric properties that are invariant under projective transformations. This means that, compared to elementary geometry, projective geometry has a different setting, projective space, and a selective set of basic geometric concepts. The basic intuitions are that projective space has more points than Euclidean space, in a given dimension, and that geometric transformations are permitted that move the extra points (called "points at infinity") to traditional points, and vice versa.
Properties meaningful in projective geometry are respected by this new idea of transformation, which is more radical in its effects than expressible by a transformation matrix and translations (the affine transformations). The first issue for geometers is what kind of geometric language is adequate to the novel situation? It is not possible to talk about angles in projective geometry as it is in Euclidean geometry, because angle is an example of a concept not invariant under projective transformations, as is seen clearly in perspective drawing. One source for projective geometry was indeed the theory of perspective. Another difference from elementary geometry is the way in which parallel lines can be said to meet in a point at infinity, once the concept is translated into projective geometry's terms. Again this notion has an intuitive basis, such as railway tracks meeting at the horizon in a perspective drawing. See projective plane for the basics of projective geometry in two dimensions.
This page contains text from Wikipedia, the Free Encyclopedia -
http://en.wikipedia.org/wiki/Projective_geometry
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This article is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License, which means that you can copy and modify it as long as the entire work (including additions) remains under this license.
