Books Books The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides. ELEMENTARY SYNTHETIC GEOMETRY OF THE POINT, LINE AND CIRCLE IN THE PLANE - Page 176
by N. F. DUPUIS, M.A., F.R.S.C. - 1894 ## The Modern Preceptor Or a General Course of Education: Containing ..., Volume 1

John Dougall - 1810 - 580 pages
...ACDE, is eqii: 1 to the sum of the two squares AFGB and EH 1C : 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 ..., Volume 8

1816
...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 - Plane trigonometry - 1814 - 346 pages
...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, Volume 8

Agriculture - 1816
...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 ..., Volume 8

Science - 1816
...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 Analectic Magazine ...: Comprising Original Reviews, Biography ..., Volume 8

Washington Irving - 1816
...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... ## Elements of Geometry...: Translated from the French for the Use of the ...

Adrien Marie Legendre - Geometry - 1825 - 224 pages
...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 Geometry

Adrien Marie Legendre - 1825 - 224 pages
...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 the History of Philosophy and Science: From the Earliest ...

Thomas Morell - Philosophy - 1827 - 560 pages
...discoveries. 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... 