Chapter0: A Preview

• cours - matière potentielle : linear algebra

Chapter 0 Preview 1 Chapter 0: A Preview Pythagorean Triples As an introduction to the sorts of questions that we will be studying, let us con- sider right triangles whose sides all have integer lengths. The most familiar example is the (3,4,5) right triangle, but there are many others as well, such as the (5,12,13) right triangle. Thus we are looking for triples (a, b, c) of positive integers such that a2 + b2 = c2 .

• primitive triples by arbitrary numbers
• rational points on the unit circle
• products of earlier primes
• pythagorean triples
• integer solutions
• rational points
• numbers
• circle
• equation
• list