…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.”…
…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.”…
……被发现之前，大家一直以为任何声称基于三角学的勾股定理证明都必然是循环论证。事实上，在已知收录证明最多的书（Elisha Loomis 的《The Pythagorean Proposition》）中，作者就斩钉截铁地表示：“根本不存在三角学证明，因为三角学的所有基本公式本身都是建立在勾股定理成立的基础之上的。”……
…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.”…
……被发现之前，大家一直以为任何声称基于三角学的勾股定理证明都必然是循环论证。事实上，在已知收录证明最多的书（Elisha Loomis 的《The Pythagorean Proposition》）中，作者就斩钉截铁地表示：“根本不存在三角学证明，因为三角学的所有基本公式本身都是建立在勾股定理成立的基础之上的。”……
…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.”…