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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 Plane Geometry: For the Use of Schools - Page 63
by Nicholas Tillinghast - 1844 - 96 pages
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Elements of Geometry and Trigonometry: From the Works of A.M. Legendre

Adrien Marie Legendre - Geometry - 1857 - 444 pages
...right•angled triangle, right•angled at A : then will the square described on the hypothenuse BO be equivalent to the sum of the squares described on the other two sides, BA, AC. G Having described a square on each of the three sides. let fall from A, on the hy• pothenuse,...
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A Treatise on Arithmetic, Combining Analysis and Synthesis: Adapted to the ...

James Stewart Eaton - Arithmetic - 1857 - 376 pages
...circumferences. FIG. 12. 6. The square described on the hypothenuse of a right-angled triangle is equal to the sum of the squares described on the other two sides. This will be seen by counting the small squares in the square of the hypothenuse and those in the squares...
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The National Arithmetic on the Inductive System: Combining the Analytic and ...

Benjamin Greenleaf - Arithmetic - 1858 - 458 pages
...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
...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 - 324 pages
...the Office-holders should drink 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...
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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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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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The Logic and Utility of Mathematics: With the Best Methods of Instruction ...

Charles Davies - Logic - 1860 - 404 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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The National Arithmetic, on the Inductive System: Combining the Analytic and ...

Benjamin Greenleaf - Arithmetic - 1860 - 458 pages
...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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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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