Question

Are the proofs for the properties of parallel lines, and that a triangle has 180 degrees, inherently tautological?

score 991 · Answer 1 · 2026-03-26 04:53:31

991

Views

Are the proofs for the properties of parallel lines, and that a triangle has 180 degrees, inherently tautological?

Published on 26 Mar 2026 - 4:53

score 124 · Answer 2 · 2026-03-25 05:46:58

124

Views

Prove that the triangles ${\rm OAD}, {\rm OBE}, {\rm OCF}$ has another common point beside ${\rm O}$ .

Published on 25 Mar 2026 - 5:46

score 60 · Answer 3 · 2026-03-25 04:43:22

60

Views

Can we make a suitable choice of y-axis in proving that any translation or rotation is the product of two reflections?

Published on 25 Mar 2026 - 4:43

score 909 · Answer 4 · 2026-03-26 04:51:13

909

Views

Is it possible to prove that a triangle has 180 degrees, without using parallel line properties?

Published on 26 Mar 2026 - 4:51

score 133 · Answer 5 · 2018-06-04 14:23:34

133

Views

A conjecture related to Viviani's theorem

Published on 04 Jun 2018 - 14:23

score 1.6k · Answer 6 · 2018-06-04 19:50:25

1.6k

Views

Determining an angle bisector in a circle

Published on 04 Jun 2018 - 19:50

score 54 · Answer 7 · 2018-06-05 01:39:34

54

Views

Show that a certain length is maximized when lines are parallel

Published on 05 Jun 2018 - 1:39

score 189 · Answer 8 · 2026-03-25 23:56:41

189

Views

Viviani's theorem and ellipse

Published on 25 Mar 2026 - 23:56

score 106 · Answer 9 · 2026-03-26 04:50:37

106

Views

A question about a right triangle contained in an equilateral triangle

Published on 26 Mar 2026 - 4:50

score 411 · Answer 10 · 2026-03-25 06:13:07

411

Views

Area of a trapezoid from the area of triangles created by the diagonals

Published on 25 Mar 2026 - 6:13

score 63 · Answer 11 · 2026-03-26 06:19:00

63

Views

Triangle with a median

Published on 26 Mar 2026 - 6:19

score 134 · Answer 12 · 2026-03-25 04:37:16

134

Views

Classifying isometries of $\Bbb{E}^n$

Published on 25 Mar 2026 - 4:37

score 107 · Answer 13 · 2026-03-29 04:11:04

107

Views

A characterization of convex bodies of constant width

Published on 29 Mar 2026 - 4:11

score 26 · Answer 14 · 2018-06-06 09:53:25

26

Views

Find the planes that are parallel to a line and have a distance of 2 to the point P(1,1,1)

Published on 06 Jun 2018 - 9:53

score 349 · Answer 15 · 2026-03-25 08:09:27

349

Views

Changing the order of two rotations around perpendicular axes

Published on 25 Mar 2026 - 8:09

List Question

Are the proofs for the properties of parallel lines, and that a triangle has 180 degrees, inherently tautological?

Prove that the triangles ${\rm OAD}, {\rm OBE}, {\rm OCF}$ has another common point beside ${\rm O}$ .

Can we make a suitable choice of y-axis in proving that any translation or rotation is the product of two reflections?

Is it possible to prove that a triangle has 180 degrees, without using parallel line properties?

A conjecture related to Viviani's theorem

Determining an angle bisector in a circle

Show that a certain length is maximized when lines are parallel

Viviani's theorem and ellipse

A question about a right triangle contained in an equilateral triangle

Area of a trapezoid from the area of triangles created by the diagonals

Triangle with a median

Classifying isometries of $\Bbb{E}^n$

A characterization of convex bodies of constant width

Find the planes that are parallel to a line and have a distance of 2 to the point P(1,1,1)

Changing the order of two rotations around perpendicular axes

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