# The Pythagorean Proposition: Some Noted Proofs

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## Some Noted Proofs

Of the 370 demonstrations, for:

1. The shortest, see p. 24, Legendre's.......... One
2. The longest, see p. 81, Davies Legendre .. Ninety
3. The most popular, p. 109, ............... Sixteen
4. Arabic, see p. 121; under proof .... Thirty-Three
5. Bhaskara, the Hindu, p. 50, .......... Thirty-Six
6. The blind girl, Coolidge, p. 118, .... Thirty-Two
7. The Chinese--before 500 B.C., p. 261, ...........
....................... Two Hundred Fifty-Three
8. Ann Condit, at age 16, p. 140(Unique) ...........
................................... Sixty-Eight
9. Euclid's, p. 119, .................. Thirty-Three
10. Garfield's (Ex-Pres.), p. 231, ..................
........................ Two Hundred Thirty-One
11. Huygens' (b. 1629), p. 118, .......... Thirty-One
12. Jashemski's (age 18), p. 230, ...................
............................ Two Hundred Thirty
13. Law of Dissection, p. 105, .................. Ten
14. Leibniz's  (b. 1646), p.  59, ....... Fifty-Three
15. Non-Euclidean, p. 265, ...  Two Hundred Fifty-Six
16. Pentagon, pp. 92 and 238, .......................
One Hundred Seven and Two Hundred Forty-Two
17. Reductio ad Absurdum, pp. 41 and 48, ............
........................ Sixteen and Thirty-Two
18. Theory of Limits, p. 86, ........... Ninety-Eight
Foreword | Algebraic Proofs, Proof #1
For more information on this work, see The Pythagorean Proposition by Elisha Scott Loomis.