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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 ?  "
The Modern Preceptor Or a General Course of Education: Containing ... - الصفحة 311
بواسطة John Dougall - 1810 - عدد الصفحات: 580
عرض كامل - لمحة عن هذا الكتاب

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

1816
...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: 346
...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

1816
...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...

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

1816
...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...

The Literary Gazette: A Weekly Journal of Literature, Science, and ..., المجلد 2

William Jerdan, William Ring Workman, Frederick Arnold, John Morley, Charles Wycliffe Goodwin - 1818
...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: 224
...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: 224
...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: 560
...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...

The Gardener's Magazine and Register of Rural & Domestic Improvement

1828
...feet, and the space travelled over two, then, by the forty-seventh proposition first book of Euclid, the square of the hypothenuse of a right-angled triangle is equal to the squares of both the other sides : Hence 10 X 10 = 100, and and 2 x 2=4 4- 100= A/I 04= 10 feet^y;...

The Gardener's Magazine, and Register of Rural & Domestic Improvement, المجلد 3

1828
...feet, and the space travelled over two, then, by the forty-seventh proposition first hook of Euclid, the square of the hypothenuse of a right-angled triangle is equal to the squares of both the other sides : Hence 1O x 10 = lOo, and and 2 x 2 = 4+ 100=^/104=10 feet -J&;...




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