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The shortest arc between two points on a sphere is created by a plane that intersects those two points and the center of the sphere. Notice that it’s a sphere
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Girard Desargues (1591-1661) was a French engineer, who is considered one of the founders of
#projectivegeometry. pic.twitter.com/KGSQr2P3V5
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Spending Sunday afternoon making conic sections via the intersections of two projective (non-perspective) pencils of points.
#projectivegeometry pic.twitter.com/BdsHo3lM8g
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Looks like your sneezes are parallel lines which intersects at a point which lies on the line at infinity !
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Mr Malinsky led the 2nd workshop in
#ProjectiveGeometry today...members LOVED it! Got the brains working in new ways! pic.twitter.com/y80xCheIkx
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If you like this and would like to make it rigorous, learn
#ProjectiveGeometry! Founded by artists, studied by mathematicians, applied by physicists and internet security protocols. https://en.wikipedia.org/wiki/Flagellation_of_Christ_(Piero_della_Francesca) … -
parallel lines intersect at a point which lies on the line at infinity. you can't stop their love!
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'Two parallel lines meets at Infinity' But they are Parallel then how come they ever meet ? ....



#ProjectiveGeometry -
Two parallel lines meet at infinity.
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A drawing I did for a hw assgn
#ProjectiveGeometry pic.twitter.com/vz7K8RuXky
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My glass of coffee that I sketched while waiting on a friend. I was fascinated by how the reflection of the napkin mapped onto the glass.
#coffee#projectivegeometry#sketchespic.twitter.com/pWTBDQrrGV
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Gerard Desargues … what have you done to me???
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The real projective line is a circle, while the complex projective line is a sphere.
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The points of the real projective line are lines through the origin in the real number plane. The point at infinity is, for convenience, either the vertical axis or the horizontal axis.
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The real projective plane PG(2,R) is equivalent to R^2 together with the line at infinity L. The line at infinity L, and all lines in PG(2,R), are equivalent to PG(1,R), the real projective line, which is topologically a circle.
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Some of my favourites (so far all of which have been very good!) Some are v thin e.g. Mazur, Arnold, but all excellent.
#SpherePacking#DynamicalSystems#AlgebraicTopology#GaloisFields#ProjectiveGeometry#GianCarloRota#RiemannHypothesis#combinatoricspic.twitter.com/WIJy6FRvm2
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Now, one can play with
#ProjectiveGeometry using the#Isabelle theorem prover. https://www.isa-afp.org/entries/Projective_Geometry.html … -
To a nonsingular plane conic C and two points in P^2, we associate a rational map f from S :=S^2C to P^2. Find a minimal resolution of indeterminacy g fit f. Compute deg g. Determine the locus where dg isn't an isomorphism.
#ProjectiveGeometry#AlgebraicGeometry
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