List questions from transformational-geometry

Published on 22 Feb 2026 - 21:00

43

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Coordinates System Transformation

Published on 22 Feb 2026 - 22:47

229

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How to map a point in plane A to a point in plane B

Published on 15 Sep 2018 - 14:05

155

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$M$ is a point in an equalateral $ABC$ of area $S$. $S'$ is the area of the triangle with sides $MA,MB,MC$. Prove that $S'\leq \frac{1}{3}S$.

Published on 18 Nov 2018 - 20:35

100

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Right triangle circumscribed by a horocycle

Published on 19 Mar 2019 - 11:27

113

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Four non-collinear points $A,A',B,B'$ forming a projective basis imply a projective transformation $f$ with $f^2 = I_d$ and $f(A)= A'$, $f(B)= B'$.

Published on 23 Jun 2019 - 12:43

6.1k

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Find the matrix that represents a rotation clockwise around the origin by$ 30∘$ followed by a magnification by a factor of 4.

Published on 09 Aug 2014 - 23:17

55

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Given a line segment $PQ$ and a straight line $L$ not intersecting....

Published on 29 Jun 2020 - 9:22

85

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Is there a name for this mapping?

Published on 27 Jul 2016 - 11:08

117

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Explain how these answers were computed from this graph and equation?

Published on 31 Jan 2017 - 18:58

1.5k

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Translation as a product of two reflections.

Published on 11 Feb 2017 - 12:16

18

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is the azimuthal equidistant projection of the globe angle preserving

Published on 06 Jul 2023 - 18:29

252

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The Composition of Two rotations

Published on 03 Apr 2015 - 6:05

1.2k

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Find the coordinates of center for the composition of two rotations

Published on 08 Apr 2015 - 23:27

227

Views

Generalising Plane Isometries to $\mathbb{R}^3$

Published on 10 Aug 2015 - 13:10

List Question

Can homogeneous coordinates be used to perform a gnomonic projection?

Coordinates System Transformation

How to map a point in plane A to a point in plane B

$M$ is a point in an equalateral $ABC$ of area $S$. $S'$ is the area of the triangle with sides $MA,MB,MC$. Prove that $S'\leq \frac{1}{3}S$.

Right triangle circumscribed by a horocycle

Four non-collinear points $A,A',B,B'$ forming a projective basis imply a projective transformation $f$ with $f^2 = I_d$ and $f(A)= A'$, $f(B)= B'$.

Find the matrix that represents a rotation clockwise around the origin by$ 30∘$ followed by a magnification by a factor of 4.

Given a line segment $PQ$ and a straight line $L$ not intersecting....

Is there a name for this mapping?

Explain how these answers were computed from this graph and equation?

Translation as a product of two reflections.

is the azimuthal equidistant projection of the globe angle preserving

The Composition of Two rotations

Find the coordinates of center for the composition of two rotations

Generalising Plane Isometries to $\mathbb{R}^3$

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