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 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. The Complete Arithmetic: Combining Oral and Written Exercises in a Natural ... - Page 302
by Albert Newton Raub - 1877 - 342 pages ## The Modern Preceptor ; Or, a General Course of Education, Volume 1

John Dougall - 1810
...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 - 592 pages
...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 - Surveying - 1814 - 390 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.... ## Analectic Magazine: Comprising Original Reviews, Biography ..., Volume 8

1816 - 644 pages
...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... ## The Annals of Philosophy, Volume 8

Agriculture - 1816 - 514 pages
...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... ## Elementary Illustrations of the Celestial Mechanics of Laplace: Part the ...

Pierre Simon marquis de Laplace, Thomas Young - Celestial mechanics - 1821 - 344 pages
...also equal (18). 118. THEOREM. In any right angled triangle, the square described on the hypotenuse is equal to the sum of the squares described on the two other sides. Draw AB parallel to CD, the side of the square on the hypotenuse, then the parallelogram CB is double... ## Elements of Geometry

Adrien Marie Legendre - 1825 - 570 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 Geometry

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... 