Question

Prove that the only endomorphism f such that any hyperplane is invariant by it ( f(H) C H) is a homothety.

score 68 · Answer 1 · 2020-04-14 23:22:11

68

Views

Prove that the only endomorphism f such that any hyperplane is invariant by it ( f(H) C H) is a homothety.

Published on 14 Apr 2020 - 23:22

score 79 · Answer 2 · 2020-04-15 03:57:05

79

Views

Two circles intersect at $C$, and their common tangents meet at $T$. Show $CT$ bisects the angle made by the two tangents at $C$

Published on 15 Apr 2020 - 3:57

score 261 · Answer 3 · 2020-05-19 00:49:30

261

Views

How do you mathematically characterize an "enlarged probability simplex"?

Published on 19 May 2020 - 0:49

score 349 · Answer 4 · 2020-05-30 20:26:53

If two figures are similar and have the same orientation then there exists a homothecy that takes one of them into the other

score 658 · Answer 5 · 2020-06-25 15:49:31

$H$ is orthocenter of acute triangle $ABC$. Prove that triangle with circumcenters of $ABH, BCH,$ $CAH$ as vertices is congruent to $ABC$

score 55 · Answer 6 · 2020-07-06 16:53:37

55

Views

Alternative method of finding a ratio in a parallelogram via composition of two homotheties

Published on 06 Jul 2020 - 16:53

score 282 · Answer 7 · 2023-02-28 12:03:34

282

Views

Homogeneous of degree one functions that are a monotonic transformation of an additively separable function

Published on 28 Feb 2023 - 12:03

score 315 · Answer 8 · 2024-01-20 18:16:12

315

Views

Why is this conic through a triangle similar to this other one through one of its cevian triangles?

Published on 20 Jan 2024 - 18:16

score 839 · Answer 9 · 2015-02-04 08:51:37

839

Views

Where is the homothety in the problem?

Published on 04 Feb 2015 - 8:51

score 312 · Answer 10 · 2017-10-29 16:06:32

312

Views

Hartshorne - Geometry: Euclid and Beyond: Given two lines and a point, construct a circle passing through the point and tangent to both lines.

Published on 29 Oct 2017 - 16:06

score 300 · Answer 11 · 2017-11-12 19:56:39

300

Views

Composition of homotheties does not look homothetic

Published on 12 Nov 2017 - 19:56

score 77 · Answer 12 · 2017-11-29 16:24:01

77

Views

I am having difficulty with the algebra related to a coordinate geometry question.

Published on 29 Nov 2017 - 16:24

score 174 · Answer 13 · 2017-12-05 08:42:26

174

Views

Circle of Apollonius Textbook locus question

Published on 05 Dec 2017 - 8:42

score 383 · Answer 14 · 2020-08-01 19:32:23

383

Views

Given the following tangent circles chain to draw the next circle of the chain

Published on 01 Aug 2020 - 19:32

score 474 · Answer 15 · 2020-08-05 16:33:07

474

Views

Show these three circles share their external common tangent lines

Published on 05 Aug 2020 - 16:33

List Question

Prove that the only endomorphism f such that any hyperplane is invariant by it ( f(H) C H) is a homothety.

Two circles intersect at $C$, and their common tangents meet at $T$. Show $CT$ bisects the angle made by the two tangents at $C$

How do you mathematically characterize an "enlarged probability simplex"?

If two figures are similar and have the same orientation then there exists a homothecy that takes one of them into the other

$H$ is orthocenter of acute triangle $ABC$. Prove that triangle with circumcenters of $ABH, BCH,$ $CAH$ as vertices is congruent to $ABC$

Alternative method of finding a ratio in a parallelogram via composition of two homotheties

Homogeneous of degree one functions that are a monotonic transformation of an additively separable function

Why is this conic through a triangle similar to this other one through one of its cevian triangles?

Where is the homothety in the problem?

Hartshorne - Geometry: Euclid and Beyond: Given two lines and a point, construct a circle passing through the point and tangent to both lines.

Composition of homotheties does not look homothetic

I am having difficulty with the algebra related to a coordinate geometry question.

Circle of Apollonius Textbook locus question

Given the following tangent circles chain to draw the next circle of the chain

Show these three circles share their external common tangent lines

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