This is the question of MATH history, so pls kindly do not use contradiction way to suppose square root of 3 is rational number =P/Q, and GCD(P,Q)=1. Pls help to use Aristotle’s contradiction way such as the proposed Pythagorean argument that the diagonal of a square is incommensurable with the side to prove below Question: if a right triangle has one leg of length 1 and a hypotenuse of length 2, then the second leg is incommensurable with the first leg.
This is the question of MATH history, so pls kindly do not use contradiction way to suppose square root of 3 is rational number =P/Q, and GCD(P,Q)=1. Pls help to use Aristotle’s contradiction way such as the proposed Pythagorean argument that the diagonal of a square is incommensurable with the side to prove below Question: if a right triangle has one leg of length 1 and a hypotenuse of length 2, then the second leg is incommensurable with the first leg.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 91E
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This is the question of MATH history, so pls kindly do not use contradiction way to suppose square root of 3 is rational number =P/Q, and GCD(P,Q)=1.
Pls help to use Aristotle’s contradiction way such as the proposed Pythagorean argument that the diagonal of a square is incommensurable with the side to prove below
Question: if a right triangle has one leg of length 1 and a hypotenuse of length 2, then the second leg is incommensurable with the first leg.
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