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Posts tagged #projectiveGeometry

My screenshot shows ten lines arranged so that at ten points three intersect each other, or, which is the same thing, ten points have been arranged so that three of them lie on one line and there are ten lines.

My screenshot shows ten lines arranged so that at ten points three intersect each other, or, which is the same thing, ten points have been arranged so that three of them lie on one line and there are ten lines.

My screenshot shows the same drawing, but here three centers have been drawn, each with two corresponding triangles. Each point can be a center, a vertex of a triangle, or the intersection of any two extended sides of a triangle! That's truly total equality.
Desargues' theorem:
If the three points of intersection of correspondingly extended sides
of two corresponding triangles lie on a straight line, then the
three connecting lines of the corresponding vertices of both triangles pass through a center.

My screenshot shows the same drawing, but here three centers have been drawn, each with two corresponding triangles. Each point can be a center, a vertex of a triangle, or the intersection of any two extended sides of a triangle! That's truly total equality. Desargues' theorem: If the three points of intersection of correspondingly extended sides of two corresponding triangles lie on a straight line, then the three connecting lines of the corresponding vertices of both triangles pass through a center.

Hi fam,
have a fulfilling weekend!
I want to show you fascinating #mathematics, #maths, #math: total #equality!
See #ALText for more, pls.
#DesarguesTheorem #projectiveGeometry
We are #strongerTogether: ALText makes text audible for the visually impaired:)
#SharingIsCaring #SharingIsTheNewLearning

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Ten lines are arranged such that each has three intersection points with two other lines. Equally valid is the saying that ten points are arranged so that three points lie on each of the ten lines.

Ten lines are arranged such that each has three intersection points with two other lines. Equally valid is the saying that ten points are arranged so that three points lie on each of the ten lines.

The image is called "Equality" because each of the points can be a center (see source),- three center points are shown here as a green, red, and blue flower,- a vertex of a triangle, or a point on the line formed by the intersection of any two triangle side extensions. Each of the lines can also take on any role! This is truly total equality.

The image is called "Equality" because each of the points can be a center (see source),- three center points are shown here as a green, red, and blue flower,- a vertex of a triangle, or a point on the line formed by the intersection of any two triangle side extensions. Each of the lines can also take on any role! This is truly total equality.

en.wikipedia.org/wiki/Desargu...
#Mathematics #maths #math #DesarguesTheorem #projectiveGeometry

Total #Equality. Absoeffinglutely total equality.

#SharingIsTheNewLearning #SharingIsCaring
#ActuallyAutistic and #specialInterests: #AutismAwareness #autism
#StrongerTogether: #ALText is #inclusion:)

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Post image

#projectivegeometry

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#SatzvonDesargues #Desarguestheorem

#sharingisthenewlearning
#Bildung #education
#Geometrie #geometry
#Mathematik #mathematics #maths #math #ProjektiveGeometrie: #Punkt & #Gerade sind das Gleiche!
#projectivegeometry: #point & #line are the same!
#Dyskalkulie #dyscalculia
#Philosophie #philosophy

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There are many projective geometries, which may be divided into discrete and continuous: a discrete geometry comprises a set of points, which may or may not be finite in number, while a continuous geometry has infinitely many points with no gaps in between.
The only projective geometry of dimension 0 is a single point. A projective geometry of dimension 1 consists of a single line

There are many projective geometries, which may be divided into discrete and continuous: a discrete geometry comprises a set of points, which may or may not be finite in number, while a continuous geometry has infinitely many points with no gaps in between. The only projective geometry of dimension 0 is a single point. A projective geometry of dimension 1 consists of a single line

#AIart #ProjectiveGeometry
Prompt in the #Alt-text recursivly applied using different styles

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It is time for projective geometry again. It is a great pleasure to introduce this to my students!
#geometry #math #projectivegeometry

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https://docs.opencv.org/master/d9/dab/tutorial_homography.html <!-- HTML header for doxygen 1.8.6--> <!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd"> <html xmlns="http://www.w3.org/1999/xhtm...

📚References📚
The keyword to look for about this is #Homography. It is a notion from #ProjectiveGeometry that is used a lot in #ComputerVision, see for instance the OpenCV doc about it: docs.opencv.org/master/d9/da...
8/8

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