Question

A person's quickest path between any two points on perimeter of elliptical lake never involves both swimming and running. Find maximum eccentricity.

score 106 · Answer 1 · 2026-03-27 00:59:10

106

Views

A person's quickest path between any two points on perimeter of elliptical lake never involves both swimming and running. Find maximum eccentricity.

Published on 27 Mar 2026 - 0:59

score 81 · Answer 2 · 2026-04-05 16:04:26

81

Views

Which comes first, quadratic polynomials or parabolas?

Published on 05 Apr 2026 - 16:04

score 51 · Answer 3 · 2023-09-17 11:39:51

51

Views

How to find, geometrically, the minimum distance from one arc of an ellipse to a line?

Published on 17 Sep 2023 - 11:39

score 23 · Answer 4 · 2023-09-18 12:48:38

23

Views

If $P$ is a point on a rectangular hyperbola with center $C$ and foci $S$ and $S'$, then $SP \times S'P=(CP)^2$

Published on 18 Sep 2023 - 12:48

score 54 · Answer 5 · 2023-09-18 14:49:48

54

Views

How to find all the parameters of an ellipse from its general equation of conic?

Published on 18 Sep 2023 - 14:49

score 78 · Answer 6 · 2023-09-19 02:40:24

78

Views

How to really prove a curve with b^2-4ac>0 and a positive discriminant for all y in R is a hyperbola?

Published on 19 Sep 2023 - 2:40

score 1k · Answer 7 · 2026-03-27 18:49:37

1k

Views

Group formed on Parabola similarly to how an Elliptic curve forms a group (by drawing lines, circles, intersecting, or taking tangent lines)

Published on 27 Mar 2026 - 18:49

score 119 · Answer 8 · 2023-09-21 03:31:44

119

Views

Are there parametric equations with trigonometric functions for the parabola $f(x)=x^2$?

Published on 21 Sep 2023 - 3:31

score 220 · Answer 9 · 2026-03-25 09:27:33

220

Views

Plane through feet of normals to ellipsoid

Published on 25 Mar 2026 - 9:27

score 45 · Answer 10 · 2023-09-22 13:36:50

45

Views

Calculating the distance on an circle between two arbitrary points from a camera at an angle.

Published on 22 Sep 2023 - 13:36

score 433 · Answer 11 · 2023-09-24 17:06:37

433

Views

Parabola Property Problem related to Focus and its images through tangents

Published on 24 Sep 2023 - 17:06

score 61 · Answer 12 · 2026-03-29 05:44:08

61

Views

Point of contact between an ellipse $(5 \cos t , 3 \sin t)$ and an apparent tangent $ x \cos(R) + y \sin(R) =D$ sliding on it.

Published on 29 Mar 2026 - 5:44

score 28 · Answer 13 · 2026-03-29 03:36:43

28

Views

Prove $\sqrt{ z − p} − i \sqrt{p}$ sends exterior of $y ^2 = 4px$ to half-plane $x>0$ (Complex analysis)

Published on 29 Mar 2026 - 3:36

score 34 · Answer 14 · 2026-04-02 13:03:59

34

Views

Area preserving continuous deformation of an arbitrary ellipse centered at origin into a circle of the same area centered at origin (graph included)

Published on 02 Apr 2026 - 13:03

score 150 · Answer 15 · 2023-09-26 15:17:35

150

Views

What is the definition of an "auxiliary circle"?

Published on 26 Sep 2023 - 15:17

List Question

A person's quickest path between any two points on perimeter of elliptical lake never involves both swimming and running. Find maximum eccentricity.

Which comes first, quadratic polynomials or parabolas?

How to find, geometrically, the minimum distance from one arc of an ellipse to a line?

If $P$ is a point on a rectangular hyperbola with center $C$ and foci $S$ and $S'$, then $SP \times S'P=(CP)^2$

How to find all the parameters of an ellipse from its general equation of conic?

How to really prove a curve with b^2-4ac>0 and a positive discriminant for all y in R is a hyperbola?

Group formed on Parabola similarly to how an Elliptic curve forms a group (by drawing lines, circles, intersecting, or taking tangent lines)

Are there parametric equations with trigonometric functions for the parabola $f(x)=x^2$?

Plane through feet of normals to ellipsoid

Calculating the distance on an circle between two arbitrary points from a camera at an angle.

Parabola Property Problem related to Focus and its images through tangents

Point of contact between an ellipse $(5 \cos t , 3 \sin t)$ and an apparent tangent $ x \cos(R) + y \sin(R) =D$ sliding on it.

Prove $\sqrt{ z − p} − i \sqrt{p}$ sends exterior of $y ^2 = 4px$ to half-plane $x>0$ (Complex analysis)

Area preserving continuous deformation of an arbitrary ellipse centered at origin into a circle of the same area centered at origin (graph included)

What is the definition of an "auxiliary circle"?

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