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How many pieces do $k$ random hyperplanes split space into?

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#real-analysis #linear-algebra #probability #geometry #reference-request
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Suppose we have an inscribed isosceles triangle in a circle.

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#geometry #euclidean-geometry
49
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Let $\gamma:[0;1]\to\mathbb{R}^2$ be regular Jordan

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#geometry #differential-geometry
78
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Area related to circles

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#geometry #area
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Find lengths of tangents drawn from $(3,-5)$ to the Ellipse

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#algebra-precalculus #geometry #conic-sections #tangent-line
246
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Why not define lines in a metric space using a locus?

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#geometry #metric-spaces #analytic-geometry #metric-geometry
175
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The ratio of the ball's volume to the volume of the cone

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#geometry #trigonometry
9.1k
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Writing an Expression for the Volume of a Spherical Shell

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#algebra-precalculus #geometry #spheres
913
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Find the measure of ∠PRQ, with points $P(0, 3, 0) \;\;\; Q(-3, 4, 2) \;\;\; R(-2, 9, 1) \;$

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#geometry #vectors #euclidean-geometry #triangles #angle
133
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Joining the centers of the edges of Platonic solids

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#geometry #3d #solid-geometry #platonic-solids
12k
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Mathematicians' Tensors vs. Physicists' Tensors

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#linear-algebra #geometry #differential-geometry #tensor-products
76
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Surface of revolution volume

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#geometry
1.7k
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How to calculate the surface area of a spherical cap?

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#geometry #spheres
173
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There is a natrual connection on the tangent bundle?

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#geometry #differential-geometry #connections #big-picture
220
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The distances of a point from the vertices of an equilateral triangle fulfill the triangle inequality

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#geometry #euclidean-geometry #triangles #rotations

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