
Recent Posts
 A^2 = B^3 + C^3
 Set {4,b,c,d,e} such that the product of any two of them increased by 1 is a square
 smallest integer whose first n multiples all contain a 3
 Set {3,b,c,d,e} such that the product of any two of them increased by 1 is a square
 Set {2,b,c,d,e} such that the product of any two of them increased by 1 is a square
Recent Comments
Archives
 February 2017
 January 2017
 December 2016
 November 2016
 October 2016
 September 2016
 August 2016
 July 2016
 June 2016
 May 2016
 April 2016
 March 2016
 February 2016
 January 2016
 December 2015
 November 2015
 October 2015
 September 2015
 August 2015
 July 2015
 June 2015
 May 2015
 April 2015
 March 2015
 February 2015
 January 2015
 December 2014
 November 2014
 October 2014
 September 2014
 August 2014
 July 2014
 June 2014
 May 2014
 April 2014
 March 2014
 February 2014
 January 2014
 December 2013
 November 2013
 October 2013
 September 2013
 August 2013
 July 2013
 June 2013
 May 2013
 April 2013
 March 2013
 February 2013
 January 2013
 December 2012
 November 2012
 October 2012
 September 2012
 August 2012
 July 2012
 June 2012
 May 2012
 April 2012
 March 2012
 February 2012
 January 2012
Categories
Meta
Tag Archives: Pythagorean Triples
Pythagorean triangle {a+b+c, a^2+b+c, a+(b+c)^2} are to made squares
Find a Pythagorean triangle such that are all squares … Continue reading
Set of 3 Pythagorean triangles equal perimeters and area in A.P.
Here are sets of 3 Pythagorean triangles with equal perimeters and area in arithmetic progression. Note that the perimeters are multiples of 120. The pattern breaks in this example: The perimeter is not a multiple of … Continue reading
Pythagorean triples – Equal products of a leg and hypotenuse
The following integers define two right triangles , . Equal products of a leg and hypotenuse : Here are some solutions: (3504, 21172, 21460), (7104, 7847, 10585) ….. (278588, 14784, 278980), … Continue reading
Pandigital Pythagorean triples
Pythagorean triples (546,728,910), (534,712,890) each involve nine distinct digits (546, 728, 910) = 182 × [3, 4, 5] Perimeter = 2184 Area = 198744 (534, … Continue reading
Pythagorean triples (a,b,c), (x,y,z) and (z+c)^2 – (x+a)^2 – (y+b)^2
The integers form a Pythagorean triple So do these integers Consider The expression gives us The expression is a square Expression #2 : Expression #3 : Expression #4 : Expression #5 … Continue reading
Pythagorean triples (a, b, c); where c – b = 8 (a, b, c); where c – b = 8
The integers with form a Pythagorean triple that is, Area : Perimeter : semiperimeter :
Pythagorean triples (a, b, c=b+2)
The integers form a Pythagorean triple Perimeter : where is the nth triangular number Area : we note that that is, … Continue reading
Pythagorean triples of the form (x^2 – 1, 2*x, x^2 + 1)
The integers , , form a Pythagorean triple. where (3, 4, 5) : primitive , , (8, 6, 10) = 2[4, 3, 5] (15, 8, … Continue reading
Diophantine equation: x^2 + y^2 = z^2 + 1 (Almost Pythagorean Triples)
A Pythagorean triple (PT) is an ordered triple (a, b, c) that satisfies the Pythagorean equation: Find an ordered triple (x, y, z) that satisfies the Diophantine equation where x, … Continue reading