Question

Geometric proof that the product of the $x$-intercepts equals the $y$-intercept for a monic quadratic

score 315 · Answer 1 · 2026-04-15 23:46:02

315

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Geometric proof that the product of the $x$-intercepts equals the $y$-intercept for a monic quadratic

Published on 15 Apr 2026 - 23:46

score 464 · Answer 2 · 2026-04-14 06:52:54

464

Views

Geometric proof for why the midpoints of parallel chords of a parabola lie on the same line parallel to the axis

Published on 14 Apr 2026 - 6:52

score 718 · Answer 3 · 2026-04-08 19:27:12

718

Views

Proof of why conics map to conics after a perspective transformation

Published on 08 Apr 2026 - 19:27

score 118 · Answer 4 · 2026-04-15 09:52:38

Eliminating $m$ from the system $x=\frac{\sqrt{a^2-b^2}+\sqrt{a^2+b^2m^2}}{\sqrt{1+m^2}}$, $y=\frac{m\sqrt{a^2-b^2}+\sqrt{a^2m^2+b^2}}{\sqrt{1+m^2}}$

score 1.8k · Answer 5 · 2026-04-14 08:40:47

1.8k

Views

Parametric equation of the ellipse: clockwise or counterclockwise rotation when varying the parameter

Published on 14 Apr 2026 - 8:40

score 3k · Answer 6 · 2026-04-13 23:02:19

3k

Views

3D rotation of an ellipse

Published on 13 Apr 2026 - 23:02

score 50 · Answer 7 · 2026-04-16 07:29:39

50

Views

Find eccentricity of a "weird" ellipse

Published on 16 Apr 2026 - 7:29

score 42 · Answer 8 · 2026-04-16 09:06:55

42

Views

Prove that mapped tangent plane to the conic section is also a tangent plane to the mapped conic section

Published on 16 Apr 2026 - 9:06

score 448 · Answer 9 · 2026-04-12 00:35:22

448

Views

Does ONLY the ellipse have these properties?

Published on 12 Apr 2026 - 0:35

score 77 · Answer 10 · 2026-04-12 08:57:05

77

Views

Problems understanding ancient greek geometric Proof of the sympthom of a parabola. (probably trivial geometry)

Published on 12 Apr 2026 - 8:57

score 605 · Answer 11 · 2026-04-15 12:53:37

605

Views

How to find the maximum perimeter of rectangle inscribed in the ellipse $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$

Published on 15 Apr 2026 - 12:53

score 205 · Answer 12 · 2026-04-11 15:39:46

205

Views

Finding rotated conic section where angle of rotation formula returns $\theta =0$

Published on 11 Apr 2026 - 15:39

score 63 · Answer 13 · 2026-04-12 06:43:29

63

Views

Projectivity to send a conic in its canonical form

Published on 12 Apr 2026 - 6:43

score 15 · Answer 14 · 2026-04-17 03:56:13

15

Views

Area common to 3 parabolae inscribed in a triangle

Published on 17 Apr 2026 - 3:56

score 1k · Answer 15 · 2026-04-09 07:55:42

1k

Views

Proof for Brianchon's theorem

Published on 09 Apr 2026 - 7:55

List Question

Geometric proof that the product of the $x$-intercepts equals the $y$-intercept for a monic quadratic

Geometric proof for why the midpoints of parallel chords of a parabola lie on the same line parallel to the axis

Proof of why conics map to conics after a perspective transformation

Eliminating $m$ from the system $x=\frac{\sqrt{a^2-b^2}+\sqrt{a^2+b^2m^2}}{\sqrt{1+m^2}}$, $y=\frac{m\sqrt{a^2-b^2}+\sqrt{a^2m^2+b^2}}{\sqrt{1+m^2}}$

Parametric equation of the ellipse: clockwise or counterclockwise rotation when varying the parameter

3D rotation of an ellipse

Find eccentricity of a "weird" ellipse

Prove that mapped tangent plane to the conic section is also a tangent plane to the mapped conic section

Does ONLY the ellipse have these properties?

Problems understanding ancient greek geometric Proof of the sympthom of a parabola. (probably trivial geometry)

How to find the maximum perimeter of rectangle inscribed in the ellipse $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$

Finding rotated conic section where angle of rotation formula returns $\theta =0$

Projectivity to send a conic in its canonical form

Area common to 3 parabolae inscribed in a triangle

Proof for Brianchon's theorem

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