Question

Symmedian and orthic triangle properties

score 233 · Answer 1 · 2021-03-01 15:47:07

233

Views

Symmedian and orthic triangle properties

Published on 01 Mar 2021 - 15:47

score 414 · Answer 2 · 2021-03-05 19:46:03

414

Views

Finding the focus of an ellipse with ruler and compass

Published on 05 Mar 2021 - 19:46

score 67 · Answer 3 · 2021-03-07 16:56:36

67

Views

For which rational coefficients is $a+b\alpha+c\alpha^2+d\alpha^3+e\alpha^4$ constructible, where $\alpha=3^{1/5}$?

Published on 07 Mar 2021 - 16:56

score 136 · Answer 4 · 2021-03-11 00:42:55

136

Views

Given a quadrilateral with 4 equal areas, prove that it is a parallelogram

Published on 11 Mar 2021 - 0:42

score 1k · Answer 5 · 2021-03-15 18:23:33

1k

Views

Construction of a Regular 5-gon

Published on 15 Mar 2021 - 18:23

score 266 · Answer 6 · 2021-03-20 18:30:42

266

Views

Given a point, a line and a circle; how can I find a point on the line having the following property?

Published on 20 Mar 2021 - 18:30

score 222 · Answer 7 · 2021-04-05 14:35:35

222

Views

Use straightedge (no compass) to find the centers of two intersecting circles

Published on 05 Apr 2021 - 14:35

score 55 · Answer 8 · 2021-04-06 08:50:57

55

Views

Construction of a line making equal intercepts on $AC,AB$ on opposite sides of $BC$.

Published on 06 Apr 2021 - 8:50

score 158 · Answer 9 · 2026-03-26 09:41:03

158

Views

Is it possible to construct the angle bisector of two lines with only a right-angled ruler?

Published on 26 Mar 2026 - 9:41

score 200 · Answer 10 · 2021-04-08 12:30:35

200

Views

Given point $K$ in a triangle, is it possible to construct a line through $K$ that bisects the area of the triangle?

Published on 08 Apr 2021 - 12:30

score 426 · Answer 11 · 2021-04-08 15:49:13

426

Views

Trapezium from two diagonals and two non-parallel sides

Published on 08 Apr 2021 - 15:49

score 120 · Answer 12 · 2021-04-09 02:15:13

120

Views

Construction of segment of given length through an intersection of two circles

Published on 09 Apr 2021 - 2:15

score 86 · Answer 13 · 2021-04-09 13:40:35

86

Views

Construct triangle $ABC$ given point $C$ and the lines that contain the angle bisectors of angles $A$ and $B$.

Published on 09 Apr 2021 - 13:40

score 43 · Answer 14 · 2021-04-20 00:34:57

43

Views

Construction of circular arcs through vertices of a rectangle, tangent to the diagonals?

Published on 20 Apr 2021 - 0:34

score 116 · Answer 15 · 2021-04-24 15:01:25

116

Views

Construction by straightedge and compass of a trapezium from the two diagonals and the two non-parallel sides

Published on 24 Apr 2021 - 15:01

List Question

Symmedian and orthic triangle properties

Finding the focus of an ellipse with ruler and compass

For which rational coefficients is $a+b\alpha+c\alpha^2+d\alpha^3+e\alpha^4$ constructible, where $\alpha=3^{1/5}$?

Given a quadrilateral with 4 equal areas, prove that it is a parallelogram

Construction of a Regular 5-gon

Given a point, a line and a circle; how can I find a point on the line having the following property?

Use straightedge (no compass) to find the centers of two intersecting circles

Construction of a line making equal intercepts on $AC,AB$ on opposite sides of $BC$.

Is it possible to construct the angle bisector of two lines with only a right-angled ruler?

Given point $K$ in a triangle, is it possible to construct a line through $K$ that bisects the area of the triangle?

Trapezium from two diagonals and two non-parallel sides

Construction of segment of given length through an intersection of two circles

Construct triangle $ABC$ given point $C$ and the lines that contain the angle bisectors of angles $A$ and $B$.

Construction of circular arcs through vertices of a rectangle, tangent to the diagonals?

Construction by straightedge and compass of a trapezium from the two diagonals and the two non-parallel sides

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