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" 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 a hecatomb when he made out its proof ?  "
Memorials of Hindley - الصفحة 203
بواسطة John Leyland (of the Grange, Hindley.) - 1874
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The Modern Preceptor Or a General Course of Education: Containing ..., المجلد 1

John Dougall - 1810 - عدد الصفحات: 554
...follows, that the square ACDE, is equ; 1 to the sum or the two squares AFGB and BHIC : or, in other words, that the square of the hypothenuse of a rightangled triangle is equal to the sum of the squares of the two sides containing the right angle. To illustrate this proposition by arithmetic,...

The Analectic Magazine...: Comprising Original Reviews, Biography ..., المجلد 8

1816 - عدد الصفحات: 600
...of their destiny in that which is to come. Had all this been at stake in verifying the proposition, that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the other two sides, we somewhat question whether Pythagoras, or any body else, would...

A Treatise on Surveying, Containing the Theory and Practice: To which is ...

John Gummere - 1814 - عدد الصفحات: 398
...legs ; the square root of the sum will be the hypotheuuse.* Or by logarithms thus, * DEMONSTRATION. The square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the sides (47.1). Therefore the truth of the first part of each of the rules, is evident....

The Annals of Philosophy, المجلد 8

Thomas Thomson - 1816 - عدد الصفحات: 514
...accomplished is a manifest corollary from the 47th proposition of Euclid's first book, which teaches us that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the two sides; so that we have only to form a rightangled triangle of a proper length...

Analectic Magazine: Containing Selections from Foreign Reviews and ..., المجلد 8

1816 - عدد الصفحات: 644
...of their destiny in that which is to come. Had all this been at stake in verifying the proposition, that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the other two sides, we somewhat question whether Pythagoras, or any body else, would...

Annals of Philosophy, Or, Magazine of Chemistry, Mineralogy ..., المجلد 8

Thomas Thomson - 1816 - عدد الصفحات: 518
...accomplished is a manifest corollary from the 47th proposition of Euclid's first book, which teaches us that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the two sides ; so that we have only to form a rightangled triangle of a proper length...

Literary Gazette and Journal of Belles Lettres, Arts, Sciences, Etc, المجلد 2

William Jerdan, William Ring Workman, Frederick Arnold, John Morley, Charles Wycliffe Goodwin - 1818 - عدد الصفحات: 862
...nature of sines (here called signs by an error of the press) and tangents ; he demonstrated the problem that the square of the hypothenuse of a right-angled triangle is equal to the squares of the other two sides, thus, " Having drawn a figure with a pair of compasses on paper,...

Elements of Geometry

Adrien Marie Legendre - 1825 - عدد الصفحات: 570
...algebraic formula (a + 6)x(a— 6) = (a3— 63) (Alg. 34). THEOREM. 186. The square described upon the hypothenuse of a right-angled triangle is equal to the sum of the squares described upon the two other sides. . 109. Demonstration. Let ABC (fig. 109) be a triangle...

Elements of Geometry...: Translated from the French for the Use of the ...

Adrien Marie Legendre, John Farrar - 1825 - عدد الصفحات: 294
...algebraic formula (a + 6) X (a — &)= (a»— b') (Alg. 34). THEOREM. f / 186. The square described upon the hypothenuse of a right-angled triangle is equal to the sum of the squares described upon the two other sides. 109. Demonstration. Let ABC (fig. 109) be a triangle...

Elements of the History of Philosophy and Science: From the Earliest ...

Thomas Morell - 1827 - عدد الصفحات: 614
...His name is rendered immortal among geometricians, by his well-known discovery, " that the square on the hypothenuse of a right-angled triangle is equal to the sum of the squares on the other two sides;" a discovery which is said to have occasioned such an ecstacy of...




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