User زكريا حسناوي - Mathematics Stack Exchange

29 votes

2 answers

7k views

Find a simple proof that π is irrational

asked Dec 4, 2023 at 10:23

26 votes

1 answer

2k views

Are these theorems about squares known?

asked Mar 30, 2025 at 8:02

13 votes

4 answers

1k views

List of geometric theorems linked by two squares

asked Mar 23, 2024 at 13:56

9 votes

1 answer

435 views

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

asked Jan 22, 2024 at 6:02

9 votes

2 answers

435 views

A property of the rectangular (isosceles) hyperbola

asked Aug 27, 2025 at 9:24

8 votes

3 answers

297 views

Counting triangles in a regular polygon where two angles differ by $90^\circ$

asked Aug 26, 2025 at 14:52

8 votes

0 answers

180 views

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

asked Apr 26, 2024 at 4:35

7 votes

0 answers

213 views

Calculations using parabola

asked Nov 12, 2024 at 9:13

7 votes

3 answers

371 views

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

asked Jan 6, 2024 at 8:43

7 votes

1 answer

287 views

A geometric property involving a cyclic quadrilateral and a conic

asked Oct 27, 2025 at 5:48

6 votes

2 answers

273 views

Tiling regular polygons with triangles where the difference of two angles equals $90^\circ$

asked Sep 7, 2025 at 17:40

6 votes

3 answers

2k views

The golden ratio in a parabola

asked Jun 19, 2023 at 10:19

6 votes

0 answers

193 views

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

asked Jun 24, 2023 at 5:15

6 votes

2 answers

424 views

The relationship between the radii of the tangent circles of a parabola and the axis of symmetry

asked Oct 15, 2024 at 5:25

6 votes

2 answers

319 views

The radius of a circle is equal to the distance between the focal points of the parabolas only if the two directrices are perpendicular

asked Oct 23, 2024 at 17:44

6 votes

1 answer

434 views

Two parallel lines in a parabola with a ratio of 1/3

asked Sep 25, 2024 at 16:01

6 votes

1 answer

305 views

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

asked Jun 23, 2024 at 7:22

6 votes

1 answer

803 views

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

asked Jul 9, 2024 at 19:15

6 votes

1 answer

410 views

A beautiful property of two parabolas that intersect in four points

asked Jul 14, 2024 at 17:13

6 votes

3 answers

706 views

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

asked Mar 21, 2024 at 4:44

6 votes

2 answers

291 views

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

asked Feb 12, 2024 at 1:11

5 votes

1 answer

96 views

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

asked Mar 12, 2024 at 14:09

5 votes

2 answers

227 views

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

asked Mar 17, 2024 at 4:16

5 votes

4 answers

449 views

Harmonic ratio in a parabola and a peaked kissing circle

asked Jun 19, 2023 at 9:20

5 votes

3 answers

271 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

5 votes

3 answers

346 views

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

asked Jan 12, 2024 at 15:47

5 votes

2 answers

133 views

A line perpendicular to the directrix and whose length is half the length of the chord of the parabola

asked Jan 10, 2025 at 21:30

4 votes

2 answers

268 views

Prove that $2A=R+r$

asked Apr 4, 2025 at 7:19

4 votes

1 answer

144 views

The only conic that does not accept an inscribed equilateral triangle is a hyperbola whose asymptotes make a $60^\circ$ angle

asked Feb 6, 2025 at 15:12

4 votes

2 answers

157 views

Why must the perimeter be even if $A-B = 90^\circ$ and the side lengths are natural numbers?

asked Aug 20, 2025 at 3:15

Stack Exchange Network

127 Questions

Find a simple proof that π is irrational

Are these theorems about squares known?

List of geometric theorems linked by two squares

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

A property of the rectangular (isosceles) hyperbola

Counting triangles in a regular polygon where two angles differ by $90^\circ$

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

Calculations using parabola

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

A geometric property involving a cyclic quadrilateral and a conic

Tiling regular polygons with triangles where the difference of two angles equals $90^\circ$

The golden ratio in a parabola

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

The relationship between the radii of the tangent circles of a parabola and the axis of symmetry

The radius of a circle is equal to the distance between the focal points of the parabolas only if the two directrices are perpendicular

Two parallel lines in a parabola with a ratio of 1/3

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

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

A beautiful property of two parabolas that intersect in four points

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

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

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

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

Harmonic ratio in a parabola and a peaked kissing circle

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

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

A line perpendicular to the directrix and whose length is half the length of the chord of the parabola

Prove that $2A=R+r$

The only conic that does not accept an inscribed equilateral triangle is a hyperbola whose asymptotes make a $60^\circ$ angle

Why must the perimeter be even if $A-B = 90^\circ$ and the side lengths are natural numbers?