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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 Common School Arithmetic: Combining Analysis and Synthesis ; Adapted to ... - Page 283
by James Stewart Eaton - 1864 - 305 pages

The Modern Preceptor ; Or, a General Course of Education, Volume 1

John Dougall - 1810 - 732 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 - 600 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 - 398 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

Thomas Thomson - 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...

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

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

Thomas Thomson - Agriculture - 1816 - 518 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...

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

Adrien Marie Legendre, John Farrar - Geometry - 1825 - 294 pages
...algebraic formula (a + 6) X (a — &)= (ať— 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 - 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...