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Math

Geometry

above

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Question

A discussion of Pythagoras' Theorem, including your account of a proof other than Euclid's Proof, The Pythagorean Proof of the Irrationality of √ 2, project maths proof of Pythagorus or any of Euclid's proofs of Pythagorus. This is for the purpose of comparison with euclid's proofs for research.

Please refer to proof of pythagorus other than the ones mentioned above or the ones shown in the attached images. Thank you

Pythagoras' Theorem
a
b
a
a
a? a
a
b c
b
b2
a
b
a

Pythagoras' Theorem: the Project Maths proof
B
A
D
C
The proof starts with the observation that the triangles
ΔΑBC ,
ΔADB , ΔBDC
are similar.
(Similar triangles appear in Book VI of the Elements. Propositions 2 & 4.)

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