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" 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. "
Elements of Geometry and Trigonometry from the Works of A.M. Legendre ... - Page 97
by Charles Davies - 1854 - 432 pages
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The National Arithmetic on the Inductive System: Combining the Analytic and ...

Benjamin Greenleaf - Arithmetic - 1858 - 458 pages
...line BC, being perpendicular to the base, is ^ the altitude. Bse. 535. The square described upon the hypothenuse of a rightangled triangle is equivalent to the sum of the squares described upon the other two sides. V Thus, if the hypothenuse AC be 5 feet, the base AB 4 feet, and the perpendicular...
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The National Arithmetic on the Inductive System: Combining the Analytic and ...

Benjamin Greenleaf - Arithmetic - 1858 - 458 pages
...Also, the line BC, being perpendicular to the base, is the altitude. 535. The square described upon the hypothenuse of a rightangled triangle is equivalent to the sum of the squares described upon the other two sides. Thus, if the hypothenuse AC be 5 feet, the base AB 4 feet, and the perpendicular...
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The Pasha papers, epistles of Mohammed Pasha, tr. into Anglo-Amerian [really ...

William Wirt Howe - 1859
...enact that six and four make eleven ; or the Office-holders should drink confusion to the fact that the square described on the hypothenuse of a right-angled...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...
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The Mathematical Monthly, Volume 1

John Daniel Runkle - Mathematics - 1859 - 478 pages
...JAMES IIIUVAIIII OLIVER. The square described on t/te hypothenusc of a right-angled triangle is equal to the sum of the squares described on the other two sides. Drop a perpendicular from the right angle to the hypothenuse, and prove in the usual way that the two...
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The National Arithmetic, on the Inductive System: Combining the Analytic and ...

Benjamin Greenleaf - Arithmetic - 1860 - 458 pages
...Also, the Hue BC, being perpendicular to the base, is the altitude. .">.T>, The square described upon the hypothenuse of a rightangled triangle is equivalent to the sum of the squares deBcribed upon the other two sides. Thus, if the hypothcnuse AC he 5 feet, the base AB 4 feet, and...
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The Logic and Utility of Mathematics: With the Best Methods of Instruction ...

Charles Davies - Logic - 1860 - 375 pages
...example : when we prove that the square Example, described on the hypothenuse of a right-angled. triaugle is equivalent to the sum of the squares described on the other two sides, we demonstrate the fact for all right-angled triangles. But in analysis, all numbers, all lines, all...
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Iconographic Encyclopaedia of Science, Literature & Art, Volume 1

Johann Georg Heck - Encyclopedias and dictionaries - 1860 - 332 pages
...particular case of 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...
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Higher Arithmetic : Or, The Science and Application of Numbers: Combining ...

James Bates Thomson - Arithmetic - 1860 - 446 pages
...25 sq. ft. Hence, the square described on the hiipothenusc of any right-angled triangle, is eo/iial to the sum of the squares described on the other two sides. OBS. Since the square of the hypothenuse BC, is 25, it follows that tha , or 5, must be the hypothenuse...
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Davies' University Arithmetic: Embracing the Answers, and a Full Analysis ...

Charles Davies - Arithmetic - 1861 - 336 pages
...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...
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Sabbath Evening Readings on the New Testament, Volume 12

John Cumming - 1861
...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...
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