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15
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How to define a line segment in math?

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#analytic-geometry
226
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Prove vectorially that the perpendicular bisectors of the sides of a triangle are concurrent

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#geometry #solution-verification #triangles #vector-analysis #analytic-geometry
33
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A higher-order analogy to that if $f'$ is increasing on $\Bbb R$ except for countably many points, then $f$ is convex

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#real-analysis #convex-analysis #analytic-geometry #nonlinear-optimization #convex-geometry
1k
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Find the intersection points of two circles

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#analytic-geometry
59
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The exponential function intersects an $n$-th degree polynomial at no more than $n+1$ points.

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#real-analysis #polynomials #exponential-function #analytic-geometry #roots
54
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Find the equation of an ellipse by given point and foci

Published on
#analytic-geometry #conic-sections
182
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Regular heptagon coordinates from a cubic field

Published on
#field-theory #euclidean-geometry #analytic-geometry #cubics #polygons
51
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A minor misunderstanding in coordinate geometry

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#analytic-geometry #coordinate-systems
51
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Find radius of an inscribed circle

Published on
#geometry #analytic-geometry #circles
39
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Do these equations indicate the same figure?

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#analytic-geometry
88
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Find the maximum area of a triangle

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#real-analysis #trigonometry #triangles #analytic-geometry #coordinate-systems
114
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If the tangent plane of sphere $x^2+y^2+(z-2)^2=25$ cuts the intercepts $a,b,c$ from axes prove that $25(1/a^2+1/b^2+1/c^2)=(2/c-1)^2$

Published on
#geometry #analytic-geometry
217
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On Archimedes's Surfaces (my scientific work)

Published on
#geometry #differential-geometry #analytic-geometry #surfaces #convex-geometry
104
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What does the $z-z_0=m(y-y_0)$ equation do in this article? and why is it written into the sphere equation?, and how this 2 equations derived?

Published on
#analytic-geometry
138
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Can four different sized yet proportional rectangles fit into a square?

Published on
#geometry #analytic-geometry #puzzle

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