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Would non-euclidean geometry be possible if Euclid's 5th theorem can be proved using the 4 postulates

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#geometry #proof-verification #euclidean-geometry #incompleteness #noneuclidean-geometry
1.4k
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What is the implicit equation $F(x,y,z) = 0$ for this non-standard torus?

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#geometry #systems-of-equations #euclidean-geometry #solid-geometry #solid-of-revolution
2.1k
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A star shaped domain

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#real-analysis #geometry #functional-analysis #analysis #euclidean-geometry
59
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Prob. 20, Sec. 1.1 in Strang's intro to Linear Algebra, 4th ed: Given three vectorss, what combination will lie inside or on the triangle?

Published on
#geometry #euclidean-geometry #analytic-geometry #vector-analysis #plane-geometry
247
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Tangent to hyperbola without using derivative

Published on
#calculus #euclidean-geometry #tangent-line
317
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Sufficient condition to inscribe a polygon inside another one

Published on
#metric-spaces #euclidean-geometry #polygons
909
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Tangent to parabola without derivative

Published on
#euclidean-geometry #conic-sections #tangent-line
160
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Iterating a geometric construction on quadrilaterals

Published on
#geometry #euclidean-geometry #recursion #quadrilateral
704
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Inscribed hypersphere of a simplex

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#linear-algebra #geometry #euclidean-geometry #matrix-equations #computational-geometry
24
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Parition a rectangle with a rectilinear hole in it, into mininal numbers of rectangles

Published on
#euclidean-geometry #polygons
210
Views

How many distinct distances in an $n$ x $n$ lattice?

Published on
#combinatorics #geometry #discrete-mathematics #euclidean-geometry #discrete-geometry
940
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How can dimensionless points give rise to a line with length?

Published on
#geometry #euclidean-geometry
1.5k
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Distance of point on ellipse from origin

Published on
#euclidean-geometry #conic-sections
27
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ball Solid geometry

Published on
#euclidean-geometry
163
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Sufficient condition to inscribe a parallelogram inside another one

Published on
#metric-spaces #euclidean-geometry #polygons

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