Question

Give an upper bound for $x^2 + y^2$ for $(x, y)$ on the ellipse $(x - y - a)^2 + y^2 = 1$ without using Lagrange multipliers

score 747 · Answer 1 · 2016-08-29 20:51:14

747

Views

Give an upper bound for $x^2 + y^2$ for $(x, y)$ on the ellipse $(x - y - a)^2 + y^2 = 1$ without using Lagrange multipliers

Published on 29 Aug 2016 - 20:51

score 133 · Answer 2 · 2016-08-30 13:38:42

133

Views

Prove that it is always possible to subdivide a given trapezium into two similar trapeziums.

Published on 30 Aug 2016 - 13:38

score 300 · Answer 3 · 2026-03-26 12:50:10

300

Views

Suppose a box A is contained in a box B. Is the total volume of the k-faces of A at most the total volume of the total k-faces of B?

Published on 26 Mar 2026 - 12:50

score 443 · Answer 4 · 2026-03-27 05:41:59

443

Views

Convex hexagon $ABCDEF$ following equalities $AD=BC+EF, BE=AF+CD, CF=DE+AB$. Prove that $\frac{AB}{DE}=\frac{CD}{AF}=\frac{EF}{BC}$

Published on 27 Mar 2026 - 5:41

score 98 · Answer 5 · 2026-04-12 02:20:23

98

Views

Constructing hexagon from nine lengths

Published on 12 Apr 2026 - 2:20

score 637 · Answer 6 · 2026-04-12 19:16:40

637

Views

Exercise: Stereometry > Lines and planes > Parallel lines and planes

Published on 12 Apr 2026 - 19:16

score 49 · Answer 7 · 2026-04-07 09:28:32

49

Views

Family of Homothetic curves - graphs

Published on 07 Apr 2026 - 9:28

score 741 · Answer 8 · 2026-04-12 21:04:47

741

Views

Intersection point of multiple 3D lines

Published on 12 Apr 2026 - 21:04

score 105 · Answer 9 · 2026-03-22 08:28:42

105

Views

When does inversion respect vector addition?

Published on 22 Mar 2026 - 8:28

score 271 · Answer 10 · 2026-04-12 18:55:11

271

Views

Find the geometric locus of midpoints of segments connecting a given point with points lying on a given plane.

Published on 12 Apr 2026 - 18:55

score 57 · Answer 11 · 2026-04-13 08:20:27

57

Views

What are the books that talk about the Area element of a surface?

Published on 13 Apr 2026 - 8:20

score 85 · Answer 12 · 2026-04-11 23:16:18

85

Views

Why is Euclidean Norm required when argument is squared anyway?

Published on 11 Apr 2026 - 23:16

score 151 · Answer 13 · 2026-04-09 12:21:41

151

Views

pythagorean theorem in 3 Dimensions

Published on 09 Apr 2026 - 12:21

score 58 · Answer 14 · 2026-04-10 22:59:24

58

Views

Show that the following two angles are equal:

Published on 10 Apr 2026 - 22:59

score 345 · Answer 15 · 2026-04-13 10:36:54

345

Views

Find the flaw in the "proof." If triangle ABC is any triangle, then side AB is congruent to side AC

Published on 13 Apr 2026 - 10:36

List Question

Give an upper bound for $x^2 + y^2$ for $(x, y)$ on the ellipse $(x - y - a)^2 + y^2 = 1$ without using Lagrange multipliers

Prove that it is always possible to subdivide a given trapezium into two similar trapeziums.

Suppose a box A is contained in a box B. Is the total volume of the k-faces of A at most the total volume of the total k-faces of B?

Convex hexagon $ABCDEF$ following equalities $AD=BC+EF, BE=AF+CD, CF=DE+AB$. Prove that $\frac{AB}{DE}=\frac{CD}{AF}=\frac{EF}{BC}$

Constructing hexagon from nine lengths

Exercise: Stereometry > Lines and planes > Parallel lines and planes

Family of Homothetic curves - graphs

Intersection point of multiple 3D lines

When does inversion respect vector addition?

Find the geometric locus of midpoints of segments connecting a given point with points lying on a given plane.

What are the books that talk about the Area element of a surface?

Why is Euclidean Norm required when argument is squared anyway?

pythagorean theorem in 3 Dimensions

Show that the following two angles are equal:

Find the flaw in the "proof." If triangle ABC is any triangle, then side AB is congruent to side AC

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