Book about right triangles by Wacław Sierpiński in 1954
This article is about the book. For the mathematical object, see Pythagorean triangle.
Pythagorean Triangles is a book on right triangles, the Pythagorean theorem, and Pythagorean triples. It was originally written in the Polish language by Wacław Sierpiński (titled Trójkąty pitagorejskie), and published in Warsaw in 1954.[1][2] Indian mathematician Ambikeshwar Sharma translated it into English, with some added material from Sierpiński, and published it in the Scripta Mathematica Studies series of Yeshiva University (volume 9 of the series) in 1962.[3] Dover Books republished the translation in a paperback edition in 2003.[4][5] There is also a Russian translation of the 1954 edition.[4]
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(F_{n}F_{n+3})^{2}+(2F_{n+1}F_{n+2})^{2}={F_{2n+3}}^{2}.} The sequence of Pythagoreantriangles obtained from this formula has sides of lengths (3,4,5), (5,12,13)...
a permutation thereof, analogous to the Pythagorean theorem characterizing right triangles as the triangles satisfying the formula a 2 + b 2 = c 2 {\displaystyle...
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