Question

What are nice ways to draw a line of length $\pi$ if neusis is allowed?

score 272 · Answer 1 · 2020-09-21 14:12:46

272

Views

What are nice ways to draw a line of length $\pi$ if neusis is allowed?

Published on 21 Sep 2020 - 14:12

score 44 · Answer 2 · 2020-09-23 15:17:27

44

Views

Generalized quadrangles and their connection to prime powers.

Published on 23 Sep 2020 - 15:17

score 85 · Answer 3 · 2020-09-26 19:59:50

85

Views

Show the constructibility of $\sqrt{\sqrt{2}+5}$ with a diagram

Published on 26 Sep 2020 - 19:59

score 146 · Answer 4 · 2020-09-27 18:16:06

146

Views

Euclidean Geometric Construction: Trisecting an arbitrary angle

Published on 27 Sep 2020 - 18:16

score 122 · Answer 5 · 2026-03-28 03:27:29

122

Views

The rays $PX$ and $PY$ cut off arc $AB$ and $CD$ of a circle with radius $4$ .

Published on 28 Mar 2026 - 3:27

score 114 · Answer 6 · 2026-03-26 12:13:30

114

Views

How to reconstruct a quadrilateral ABCD only using compass and straight edge?

Published on 26 Mar 2026 - 12:13

score 245 · Answer 7 · 2020-10-10 08:18:53

245

Views

triangle inscribed in a rectangle

Published on 10 Oct 2020 - 8:18

score 125 · Answer 8 · 2020-10-24 00:35:29

125

Views

Is $[\mathbb{Q}(x, y):\mathbb{Q}] = 2^r$ a sufficient condition for a point $(x, y) \in \mathbb{R}^2$ to be constructible by ruler and compass?

Published on 24 Oct 2020 - 0:35

score 561 · Answer 9 · 2020-10-30 20:22:06

561

Views

How to find a circle that passes through $2$ points and its diameter is on a given line.

Published on 30 Oct 2020 - 20:22

score 779 · Answer 10 · 2026-03-25 17:41:59

779

Views

In $\Delta ABC$, $AB:AC = 4:3$ and $M$ is the midpoint of $BC$ . $E$ is a point on $AB$ and $F$ is a point on $AC$ such that $AE:AF = 2:1$

Published on 25 Mar 2026 - 17:41

score 147 · Answer 11 · 2020-10-31 19:03:06

147

Views

How to explicitly show $2$ angles are distinct in this circle geometric construction?

Published on 31 Oct 2020 - 19:03

score 20 · Answer 12 · 2020-11-05 16:21:23

20

Views

Relation between the volume and surface

Published on 05 Nov 2020 - 16:21

score 120 · Answer 13 · 2020-11-06 17:14:50

120

Views

Given a unit segment, construct one of length $4+\sqrt{3}$, and one of length $7+\sqrt{4+\sqrt{3}}$

Published on 06 Nov 2020 - 17:14

score 39 · Answer 14 · 2020-11-09 18:14:32

39

Views

Why does the ruler and straightedge construction assume a segment of length $1$?

Published on 09 Nov 2020 - 18:14

score 131 · Answer 15 · 2020-11-09 22:25:30

131

Views

Construct center of circle without using its interior

Published on 09 Nov 2020 - 22:25

List Question

What are nice ways to draw a line of length $\pi$ if neusis is allowed?

Generalized quadrangles and their connection to prime powers.

Show the constructibility of $\sqrt{\sqrt{2}+5}$ with a diagram

Euclidean Geometric Construction: Trisecting an arbitrary angle

The rays $PX$ and $PY$ cut off arc $AB$ and $CD$ of a circle with radius $4$ .

How to reconstruct a quadrilateral ABCD only using compass and straight edge?

triangle inscribed in a rectangle

Is $[\mathbb{Q}(x, y):\mathbb{Q}] = 2^r$ a sufficient condition for a point $(x, y) \in \mathbb{R}^2$ to be constructible by ruler and compass?

How to find a circle that passes through $2$ points and its diameter is on a given line.

In $\Delta ABC$, $AB:AC = 4:3$ and $M$ is the midpoint of $BC$ . $E$ is a point on $AB$ and $F$ is a point on $AC$ such that $AE:AF = 2:1$

How to explicitly show $2$ angles are distinct in this circle geometric construction?

Relation between the volume and surface

Given a unit segment, construct one of length $4+\sqrt{3}$, and one of length $7+\sqrt{4+\sqrt{3}}$

Why does the ruler and straightedge construction assume a segment of length $1$?

Construct center of circle without using its interior

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