List questions from euclidean-geometry

Published on 02 Jan 2025 - 23:16

342

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Show using centers of mass that the angle bisectors of ΔABC are concurrent at I, where I lies on bisector AP at a position such that:AI/AP = b+c/a+b+c

Published on 12 Jan 2025 - 19:11

2.2k

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Locating three sets of collinear points

Published on 04 Jan 2025 - 17:18

96

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Prove orthogonality

Published on 12 Jan 2025 - 17:21

72

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Calculating the distance between plane and origin when the point on plane and normal vector are given.

Published on 29 Dec 2024 - 23:55

191

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Minimize the sum of the lengths of the cevians

Published on 02 Jan 2025 - 22:23

102

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Transforming a curve to pass through given points

Published on 04 Jan 2025 - 18:29

94

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Isometry between sets of points in $\mathbb{R}^n$

Published on 05 Jan 2025 - 13:48

1.2k

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Is the proof of Proposition 2 in Book 1 of Euclid's elements a bit redundant?

Published on 31 Dec 2024 - 16:40

99

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Finding an angle in a circle

Published on 12 Jan 2025 - 18:21

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Reflection $\mathscr{R}H$ through given hyperplane exchanges given points.

Show using centers of mass that the angle bisectors of ΔABC are concurrent at I, where I lies on bisector AP at a position such that:AI/AP = b+c/a+b+c

Locating three sets of collinear points

Prove orthogonality

Calculating the distance between plane and origin when the point on plane and normal vector are given.

Minimize the sum of the lengths of the cevians

Transforming a curve to pass through given points

Isometry between sets of points in $\mathbb{R}^n$

Is the proof of Proposition 2 in Book 1 of Euclid's elements a bit redundant?

Finding an angle in a circle

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