The Pythagorean proposition
its demonstrations analyzed and classified, and bibliography of sources for data of the four kinds of proofs.
by Elisha S. Loomis · first published 1927
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…was discovered it's always been assumed that any alleged proof of Pythagoras’s Theorem based on trigonometry must be circular. In fact, in the book containing the largest known collection of proofs (The Pythagorean Proposition by Elisha Loomis) the author flatly states that “There are no trigonometric proofs, because all the fundamental formulae of trigonometry are themselves based upon the truth of the Pythagorean Theorem.”…
on “US teens say they have new proof for Pythagorean theorem” ↗…was discovered it's always been assumed that any alleged proof of Pythagoras’s Theorem based on trigonometry must be circular. In fact, in the book containing the largest known collection of proofs (The Pythagorean Proposition by Elisha Loomis) the author flatly states that “There are no trigonometric proofs, because all the fundamental formulae of trigonometry are themselves based upon the truth of the Pythagorean Theorem.”…
on “New Orleans Teenagers Found a New Proof of the Pythagorean Theorem” ↗