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" The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides. "
Higher Arithmetic: Or, The Science and Application of Numbers; Combining the ... - Σελίδα 369
των James Bates Thomson - 1847 - 422 σελίδες
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Memoir of the life and labors of the rev. Jeremiah Horrox; to which is ...

Arundell Blount Whatton - 1859
...has his moments of ecstacy. When Pythagoras had fairly demonstrated the great geometrical truth, that the square described on the hypothenuse of a right-angled triangle is equal to the squares constructed upon the other two sides, such was his exultation that he forthwith sacrificed...

An Outline of the Necessary Laws of Thought: A Treatise on Pure and Applied ...

William Thomson (Abp. of York) - 1859 - 345 σελίδες
...practical examples, before the science was established by abstract reasoning. Thus, that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the other two sides, was an experimental discovery, or why did the discoverer sacrifice...

The Pasha papers, epistles of Mohammed Pasha, tr. into Anglo-Amerian [really ...

William Wirt Howe - 1859
...confusion to the fact that the square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides ; or the able Editors should denounce the incoming flow of a spring tide as an altogether unprecedented...

Higher Arithmetic : Or, The Science and Application of Numbers ..., Βιβλίο 6

James Bates Thomson - 1860 - 422 σελίδες
...627264. 27. 28. 17*. 794i. 15. 16. 43681. 47089. 22. 23. 3.172181. 10342656. 29. 30. 207*?. 34967 A371 578. The square described on the hypothenu.se of a rightangled triangle, is equal to the sum of the squares described on the other two sides. (Thomson's Legendre, B. IV. 11, Euc. I. 47.) The Irii/h...

Plane trigonometry

Isaac Todhunter - 1860
...33. With respect to the preceding proof it should be remarked that it is shewn in Euclid, I. 47, that the square described on the hypothenuse of a right-angled triangle is equal to the sum of the squares described on the sides; and it is known that the geometrical square described upon any...

The Presbyterian Quarterly Review, Τόμος 8

Benjamin John Wallace - 1860
...reputed to have been the author of the multiplication table, and to have discovered that the square on the hypothenuse of a right-angled triangle is equal to the sum of the squares on the other two sides. Numbers led him over into astro* Butler. nomy. And here, it would...

Iconographic Encyclopedia

J.G. Heck - 1860
...this proposition is known as the Pythagorean: the square described upon the hypothenuse is equivalent to the sum of the squares described on the other two sides. As the unit of measure for the determination of the superficial relations of figures, we use a square...

Sabbath evening readings on the New Testament

John Cumming - 1861
...first book of Euclid, that the square described on the hypothenuse of any right-angled triangle is equal to the sum of the squares described on the other two sides — I remember I could prove that step by step ; but I have been so much out of the way of mathematics...

Davies' University Arithmetic: Embracing the Answers, and a Full Analysis ...

Charles Davies - 1861 - 336 σελίδες
...angles to each other. 384. In a right-angled triangle the square described on thr Base. hypothenuse is equal to the sum of the squares described on the other two sides. Thus, if ACB be a right-angled triangle, right-angled at C, -then will the large square, D, described...

The Advantages of Association of Ideas in Teaching: Addressed to the ...

Andrew Jackson Moulder - 1862 - 24 σελίδες
...compelling sequence of reasons, such as that by which we are forced to the conviction that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares on the other two sides. In the former case, Jupiter is declared to be the King of the Gods...




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