List questions from euclidean-geometry

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Show that $A_{1},B_{1},C_{1}$ are on a straight line which is perpendicular to $OI$

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38

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Given two circles, prove the following

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105

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Elements, Euclid. Proposition 2

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644

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Arbelos and its angle bisector

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43

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Checking Whether the Points $(x, y, w)^T = (1, \pm i, 0)^T$ Lie in the Circle $(x - aw)^2 + (y - bw)^2 = r^2 w^2$

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60

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pythagorean triples reverse calculation

Published on 26 Nov 2018 - 18:59

94

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Angle trisection using a Cardioid

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51

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How far can a triangle center be from the triangle?

Published on 27 Nov 2018 - 18:17

202

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Kiselev's Geometry Problem 51

Published on 28 Nov 2018 - 18:58

55

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Question about inversion images

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98

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Prove PS is parallel to AC

Published on 29 Nov 2018 - 6:59

62

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Complex multiplication and symetry

Published on 29 Nov 2018 - 13:32

91

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Prove that $MA^{2}+MB^{2}+MC^{2}\geq \frac{4S_{ABC}}{\sqrt{3}}(1+\frac{OM^{2}}{3R^{2}})$

Published on 29 Nov 2018 - 15:24

214

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Are euclidean and rectilinear metrics equivalent for determining the ordering of closeness between points?

Published on 29 Nov 2018 - 17:09

List Question

Circular Geometry

Show that $A_{1},B_{1},C_{1}$ are on a straight line which is perpendicular to $OI$

Given two circles, prove the following

Elements, Euclid. Proposition 2

Arbelos and its angle bisector

Checking Whether the Points $(x, y, w)^T = (1, \pm i, 0)^T$ Lie in the Circle $(x - aw)^2 + (y - bw)^2 = r^2 w^2$

pythagorean triples reverse calculation

Angle trisection using a Cardioid

How far can a triangle center be from the triangle?

Kiselev's Geometry Problem 51

Question about inversion images

Prove PS is parallel to AC

Complex multiplication and symetry

Prove that $MA^{2}+MB^{2}+MC^{2}\geq \frac{4S_{ABC}}{\sqrt{3}}(1+\frac{OM^{2}}{3R^{2}})$

Are euclidean and rectilinear metrics equivalent for determining the ordering of closeness between points?

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