Pythagorean triangles Waclaw Sierpinski ; translated by Ambikeshwar Sharma.
Idioma: Inglés Lenguaje original: polaco Detalles de publicación: Mineola, N.Y. Dover Publications 2003.Edición: Dover edDescripción: viii, 107 p. ill. 22 cmISBN:- 0486432785 (pbk.)
- 516.22 S5723t I 21
- QA460.P8 S5313 2003
| Imagen de cubierta | Tipo de ítem | Biblioteca actual | Biblioteca de origen | Colección | Ubicación en estantería | Signatura topográfica | Materiales especificados | Info Vol | URL | Copia número | Estado | Notas | Fecha de vencimiento | Código de barras | Reserva de ítems | Prioridad de la cola de reserva de ejemplar | Reservas para cursos | |
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| Libro | Biblioteca Encarnación Valdés Colección General bev | 516.22 S5723t I (Navegar estantería(Abre debajo)) | Disponible | 80000002189226 |
Descripciones mejoradas de Syndetics:
The Pythagorean Theorem is one of the fundamental theorems of elementary geometry, and Pythagorean triangles -- right triangles whose sides are natural numbers -- have been studied by mathematicians since antiquity. In this classic text, a brilliant Polish mathematician explores the intriguing mathematical relationships in such triangles.
Starting with "primitive" Pythagorean triangles, the text examines triangles with sides less than 100, triangles with two sides that are successive numbers, divisibility of one of the sides by 3 or by 5, the values of the sides of triangles, triangles with the same arm or the same hypotenuse, triangles with the same perimeter, and triangles with the same area. Additional topics include the radii of circles inscribed in Pythagorean triangles, triangles in which one or more sides are squares, triangles with natural sides and natural areas, triangles in which the hypotenuse and the sum of the arms are squares, representation of triangles with the help of the points of a plane, right triangles whose sides are reciprocals of natural numbers, and cuboids with edges and diagonals expressed by natural numbers.
" ... an unabridged republication of the work originally published by the Graduate School of Science, Yeshiva University, New York, in 1962, as number nine of its Scripta mathematica studies"--T.p. verso.
Tabla de contenidos provista por Syndetics
- 1. Pythagorean Triangles. Primitive pythagorean triangles(p. 1)
- 2. Obtaining primitive pythagorean triangles(p. 4)
- 3. Pythagorean triangles with sides(p. 11)
- 4. Pythagorean triangles two sides of which are successive numbers(p. 13)
- 5. Divisibility by 3 or by 5 of one of the sides of a pythagorean triangle(p. 23)
- 6. The values of the sides of pythagorean triangles(p. 26)
- 7. Pythagorean triangles with the same arm or the same hypotenuse(p. 30)
- 8. Pythagorean triangles with the same perimeter(p. 33)
- 9. Pythagorean triangles with the same areas(p. 36)
- 9a. The radii of circles inscribed in pythagorean triangles(p. 42)
- 10. Pythagorean triangles in which one or more sides are squares(p. 47)
- 11. Triangles with natural sides and natural areas. Triangles with natural areas and sides which are successive numbers. Rational triangles(p. 59)
- 12. Pythagorean triangles in which the hypotenuse and the sum of the arms are squares(p. 67)
- 13. Representation of pythagorean triangles with the help of the points of a plane(p. 89)
- 14. Right triangles the sides of which are reciprocals of natural numbers(p. 93)
- 15. Cuboids with edges and diagonals expressed by natural numbers(p. 97)