User زكريا حسناوي - Mathematics Stack Exchange

29 votes

2 answers

6k views

Find a simple proof that π is irrational

asked Dec 4, 2023 at 10:23

12 votes

4 answers

627 views

List of geometric theorems linked by two squares

asked Mar 23 at 13:56

8 votes

1 answer

225 views

A property of centers of circumcircle, incircle and nine point circle

asked Jan 22 at 6:02

7 votes

1 answer

202 views

A beautiful property that connects five points located on a circle to the nine point circles

asked Jun 23 at 7:22

6 votes

0 answers

79 views

Is the relationship of the radical axis of two circles to their tangent parabola already known?

asked Apr 26 at 4:35

6 votes

2 answers

207 views

A nice property of a triangle With side 1,2,2

asked Feb 12 at 1:11

6 votes

2 answers

179 views

Organizing the content of Euclidean geometry with pictorial mind maps [closed]

asked Mar 17 at 4:16

6 votes

3 answers

199 views

Generation of a cardioid as the locus of intersection point of two tangents to two intersecting circles

asked Jan 6 at 8:43

6 votes

3 answers

2k views

The golden ratio in a parabola

asked Jun 19, 2023 at 10:19

6 votes

0 answers

168 views

A conic section formed by tracing the point of intersection of tangents to a circle

asked Jun 24, 2023 at 5:15

5 votes

4 answers

252 views

Harmonic ratio in a parabola and a peaked kissing circle

asked Jun 19, 2023 at 9:20

5 votes

3 answers

185 views

Hexagons whose vertices lie on a conic and whose sides touch a conic

asked Jan 12 at 15:47

5 votes

3 answers

208 views

Generalizing the property of two parabolas tangent to a circle, each of which touches it at two points

asked Mar 21 at 4:44

5 votes

1 answer

73 views

Is it possible to create triangle ∆ABC Depending on the points H,I,G?

asked Mar 12 at 14:09

5 votes

1 answer

672 views

The center of gravity of a triangle on a parabola lies on the axis of symmetry

asked Jul 9 at 19:15

4 votes

1 answer

71 views

The centers of the circles passing through the vertices of 3 triangles lie on the same line

asked Jun 6 at 4:59

4 votes

3 answers

178 views

$M$ in triangle $ABC$ ; images $A',B',C'$ by inversions wrt circles $(MBC),(AMC),(ABM)$ are such that $A'B'C'$ equilateral : is $M$ a known center?

asked Feb 10 at 7:43

4 votes

1 answer

84 views

A triangle whose area is four times the area of Napoleon's triangle

asked Mar 19 at 15:27

4 votes

2 answers

208 views

Property for Conjugate diameters in an ellipse [closed]

asked Jan 6 at 9:13

4 votes

5 answers

224 views

A problem about perpendicular lines and areas bounded by coordinate axes

asked Sep 21, 2023 at 15:56

4 votes

3 answers

201 views

It is impossible for a regular polygon to have a focus, vertex, and point of a parabola

asked Sep 2, 2023 at 19:50

3 votes

2 answers

142 views

A line perpendicular to a tangent curved at both ends

asked Sep 11, 2023 at 4:36

3 votes

3 answers

146 views

Hunch on a parabola and a straight line passing through its vertex

asked Sep 2, 2023 at 18:05

3 votes

2 answers

127 views

Perpendicularity of the interior tangents of two circles to a parabola

asked Dec 29, 2023 at 15:12

3 votes

1 answer

95 views

Three properties of a parabola with three tangents

asked Nov 22, 2023 at 16:27

3 votes

3 answers

141 views

Can the vertices of three squares erected on the edges of a non-isosceles triangle lie on a conic?

asked Jan 9 at 6:33

3 votes

0 answers

176 views

The Golden ellipse

asked Feb 2 at 13:08

3 votes

1 answer

156 views

A conic section passing through the common tangent points of two conic sections

asked Jan 20 at 16:20

3 votes

0 answers

75 views

A beautiful property of two parabolas that intersect in four points

asked Jul 14 at 17:13

2 votes

1 answer

116 views

The midpoint of distance between the centers of similarity of two circles is the focal point of their tangent parabola

asked Apr 27 at 19:17

Stack Exchange Network

69 Questions

Find a simple proof that π is irrational

List of geometric theorems linked by two squares

A property of centers of circumcircle, incircle and nine point circle

A beautiful property that connects five points located on a circle to the nine point circles

Is the relationship of the radical axis of two circles to their tangent parabola already known?

A nice property of a triangle With side 1,2,2

Organizing the content of Euclidean geometry with pictorial mind maps [closed]

Generation of a cardioid as the locus of intersection point of two tangents to two intersecting circles

The golden ratio in a parabola

A conic section formed by tracing the point of intersection of tangents to a circle

Harmonic ratio in a parabola and a peaked kissing circle

Hexagons whose vertices lie on a conic and whose sides touch a conic

Generalizing the property of two parabolas tangent to a circle, each of which touches it at two points

Is it possible to create triangle ∆ABC Depending on the points H,I,G?

The center of gravity of a triangle on a parabola lies on the axis of symmetry

The centers of the circles passing through the vertices of 3 triangles lie on the same line

$M$ in triangle $ABC$ ; images $A',B',C'$ by inversions wrt circles $(MBC),(AMC),(ABM)$ are such that $A'B'C'$ equilateral : is $M$ a known center?

A triangle whose area is four times the area of Napoleon's triangle

Property for Conjugate diameters in an ellipse [closed]

A problem about perpendicular lines and areas bounded by coordinate axes

It is impossible for a regular polygon to have a focus, vertex, and point of a parabola

A line perpendicular to a tangent curved at both ends

Hunch on a parabola and a straight line passing through its vertex

Perpendicularity of the interior tangents of two circles to a parabola

Three properties of a parabola with three tangents

Can the vertices of three squares erected on the edges of a non-isosceles triangle lie on a conic?

The Golden ellipse

A conic section passing through the common tangent points of two conic sections

A beautiful property of two parabolas that intersect in four points

The midpoint of distance between the centers of similarity of two circles is the focal point of their tangent parabola