List questions from plane-geometry

Published on 26 Mar 2020 - 13:34

678

Views

Prove that a regular pentagon is cyclic

Published on 26 Mar 2020 - 15:27

62

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How to simplify this dot expression.

Published on 27 Mar 2020 - 21:21

64

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Visualising hyperplanes arising from linear systems of curves

Published on 29 Mar 2020 - 15:46

35

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Largest incircle given any point inside convex quadrilateral

Published on 28 Mar 2026 - 8:29

90

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How is vector w on the same plane formed by vectors u and v

Published on 03 Apr 2020 - 19:09

713

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Can you find the normal vector to the plane by dot product instead of using the cross product?

Published on 03 Apr 2020 - 21:37

36

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What is the purpose of a Normal vector to any plane, why do we find it at all?

Published on 05 Apr 2020 - 9:17

59

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Inversion in a plane; prove $P\left(\Delta A'B'C'\right)=\left[\frac{R^2}{(|OA||OB||OC|)^{\frac{1}{3}}}\right]^4P\left(\Delta ABC\right)$

Published on 08 Apr 2020 - 11:03

192

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A line passing through 2 semicircles inside a semicircle

Published on 13 Apr 2020 - 7:54

192

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A problem about orthocenter and circumscribed circle

Published on 14 Apr 2020 - 12:04

296

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USAMO 2011 problem #5

Published on 28 Mar 2026 - 8:28

275

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How can I prove that $MN$ is parallel to $AC$?

Published on 14 Apr 2020 - 15:00

47

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Angle between two planes with a common side using vectors

Published on 15 Apr 2020 - 4:35

136

Views

Intersections of Six Circles: Concurrence and Concyclicity

Published on 15 Apr 2020 - 5:29

List Question

Triangle inscribed in a circle - maximize $a^{2}+b^{2}+c^{2}$.

Prove that a regular pentagon is cyclic

How to simplify this dot expression.

Visualising hyperplanes arising from linear systems of curves

Largest incircle given any point inside convex quadrilateral

How is vector w on the same plane formed by vectors u and v

Can you find the normal vector to the plane by dot product instead of using the cross product?

What is the purpose of a Normal vector to any plane, why do we find it at all?

Inversion in a plane; prove $P\left(\Delta A'B'C'\right)=\left[\frac{R^2}{(|OA||OB||OC|)^{\frac{1}{3}}}\right]^4P\left(\Delta ABC\right)$

A line passing through 2 semicircles inside a semicircle

A problem about orthocenter and circumscribed circle

USAMO 2011 problem #5

How can I prove that $MN$ is parallel to $AC$?

Angle between two planes with a common side using vectors

Intersections of Six Circles: Concurrence and Concyclicity

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