Question

Generating Pythagorean triples $(a,b,c)$ such that $b>a+n$ for integer $n$, and $a+b$ is minimum

score 77 · Answer 1 · 2022-01-02 12:53:50

77

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Generating Pythagorean triples $(a,b,c)$ such that $b>a+n$ for integer $n$, and $a+b$ is minimum

Published on 02 Jan 2022 - 12:53

score 794 · Answer 2 · 2022-01-12 06:03:28

794

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Three circles internaly tangent to an equilateral triangle

Published on 12 Jan 2022 - 6:03

score 78 · Answer 3 · 2022-01-14 16:59:39

78

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Hypotenuses for which there exist exactly 4 distinct integer triangles with an extra constraint

Published on 14 Jan 2022 - 16:59

score 154 · Answer 4 · 2022-01-27 18:51:59

154

Views

Is the set $\ \left\{ \frac{b-a }{c-a}:\ (a,b,c)\ \text{is a primitive Phythagorean triple with}\ a<b<c\ \right\}\ $ dense in $\ [0,1]\ ?$

Published on 27 Jan 2022 - 18:51

score 271 · Answer 5 · 2022-01-28 06:18:02

271

Views

Is the angle of the 345 triangle (pythagorean triple) related to the Geometric Progression. 4, 2, 1, 1/2, 1/4?

Published on 28 Jan 2022 - 6:18

score 128 · Answer 6 · 2022-01-31 01:48:40

128

Views

What is the equation (or equations) to find the sequence/s of odd numbers that are the result of the sum of two squares?

Published on 31 Jan 2022 - 1:48

score 171 · Answer 7 · 2022-02-06 11:56:20

171

Views

How we may express four squares whose difference is each a square in terms of (preferably solid) geometry?

Published on 06 Feb 2022 - 11:56

score 102 · Answer 8 · 2022-02-11 07:17:09

102

Views

Criterion for being the length of a hypotenuse

Published on 11 Feb 2022 - 7:17

score 215 · Answer 9 · 2022-02-16 12:45:40

Does the proof for primitive Pythagorean triples follow that the formula, $x=q^2-p^2, y=2pq, z=p^2+q^2,$ give all primitive Pythagorean triples?

score 264 · Answer 10 · 2022-03-20 11:54:05

264

Views

Pythagorean triples and primes.

Published on 20 Mar 2022 - 11:54

score 100 · Answer 11 · 2022-04-03 21:12:56

100

Views

Tangential Equidiagonal (Irregular) Quadrilateral with integer coordinates

Published on 03 Apr 2022 - 21:12

score 35 · Answer 12 · 2022-04-10 22:58:55

35

Views

how would I find a Pythagorean triple that is all square numbers? (a^2)^2 + (b^2)^2 = (c^2)^2

Published on 10 Apr 2022 - 22:58

score 44 · Answer 13 · 2022-04-23 10:44:37

44

Views

Why is leg of the pythagorean triangle which is of the form qp^3 or 16p where q & p are odd has exactly 10 solutions?

Published on 23 Apr 2022 - 10:44

score 223 · Answer 14 · 2022-05-09 19:30:26

223

Views

Generating Pythagorean triples where the legs are Hypotenuses of other Pythagorean triples

Published on 09 May 2022 - 19:30

score 215 · Answer 15 · 2022-05-12 22:00:20

215

Views

Connection between Laplace Transforms and Pythagorean triples

Published on 12 May 2022 - 22:00

List Question

Generating Pythagorean triples $(a,b,c)$ such that $b>a+n$ for integer $n$, and $a+b$ is minimum

Three circles internaly tangent to an equilateral triangle

Hypotenuses for which there exist exactly 4 distinct integer triangles with an extra constraint

Is the set $\ \left\{ \frac{b-a }{c-a}:\ (a,b,c)\ \text{is a primitive Phythagorean triple with}\ a<b<c\ \right\}\ $ dense in $\ [0,1]\ ?$

Is the angle of the 345 triangle (pythagorean triple) related to the Geometric Progression. 4, 2, 1, 1/2, 1/4?

What is the equation (or equations) to find the sequence/s of odd numbers that are the result of the sum of two squares?

How we may express four squares whose difference is each a square in terms of (preferably solid) geometry?

Criterion for being the length of a hypotenuse

Does the proof for primitive Pythagorean triples follow that the formula, $x=q^2-p^2, y=2pq, z=p^2+q^2,$ give all primitive Pythagorean triples?

Pythagorean triples and primes.

Tangential Equidiagonal (Irregular) Quadrilateral with integer coordinates

how would I find a Pythagorean triple that is all square numbers? (a^2)^2 + (b^2)^2 = (c^2)^2

Why is leg of the pythagorean triangle which is of the form qp^3 or 16p where q & p are odd has exactly 10 solutions?

Generating Pythagorean triples where the legs are Hypotenuses of other Pythagorean triples

Connection between Laplace Transforms and Pythagorean triples

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