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Does "perpendicular phase incoherence" satisfy the triangle inequality?

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#geometry #statistics #inequality #complex-numbers #circles
233
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An equilateral triangle has sides of length 8cm. A circle passes through each vertex of the triangle. Find an expression for the circumference.

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#geometry #circles
83
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How many "outward" triangles are needed on a circle so that when one is removed, each triangle consistently overlaps with two triangles on the circle?

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#geometry #euclidean-geometry #triangles #circles
83
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Differential equation of orthogonal curves

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#calculus #ordinary-differential-equations #derivatives #circles
114
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Is it possible to explain geometrically why $\tan^2\alpha_T + \tan^2\beta_T =$const.?

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#trigonometry #circles
63
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Maximum distance (gap) possible b/w two athletes when they are running infinitely in a circle of fixed radius

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#geometry #vector-analysis #circles #wave-equation #circular-motion
217
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Finding the diameter of a circle projected on a plane

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#geometry #trigonometry #euclidean-geometry #circles #projective-geometry
206
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Locus of circle using complex numbers

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#geometry #complex-numbers #circles
39
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Parametric equations for a point traversing the circumference of a laterally accelerating circle (not rolling) with a max speed for the point.

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#calculus #derivatives #circles #parametric #word-problem
693
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Find center of externally tangent circle

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#geometry #circles #tangent-line
295
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Is this a new point on the nine-point-circle of a triangle?

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#geometry #triangles #circles #rectangles #triangle-centres
105
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In acute $\Delta ABC$, $O$ is circumcentre. $M,N$ on $AB,AC$, s.t. $O$ lies on $MN$. $D,E,F$ are midpoints of $MN,BN,CM$. Prove O,D,E,F are concyclic.

Published on
#geometry #triangles #circles
130
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What is the maximum number of squares that can fit in a circle?

Published on
#geometry #circles
40
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Is there a name for a region of a circle comprising an inscribed angle subtending a chord, and a corresponding circular segment? ("ice-cream cone"?)

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#terminology #circles
56
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Billiard Shot Angles for Circular Table: Return to Starting Point

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#geometry #circles #polygons #reflection

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