 | Francis Lieber, Edward Wigglesworth - Encyclopedias and dictionaries - 1832 - 656 pages
...important : The three angles of a triangle are together equal to two right angles ; and in aright-angled triangle, the square of the hypothenuse is equal to the sum of the squares of the two sides. This lust is still called the Pythagorean theorem (also magiater nuithtseos),... | |
 | Olinthus Gregory - Mathematics - 1834 - 484 pages
...right angle, from the middle of the hypothenuse is equal to half the hypothenuse. 16. In aright-angled triangle, the square of the hypothenuse is equal to the sum of the squares of the two sides. 17. If the square of one side of a triangle be equal to the sum of the squares... | |
 | Ralph Wardlaw - Christian ethics - 1834 - 480 pages
...equality.—But is it a fact that every contemplating mind is so impressed ? The proposition, that " in every right-angled triangle the square of the hypothenuse is equal to the squares of the other sides," is certainly not a proposition whose truth is selfevident. And if the... | |
 | William Smyth - Plane trigonometry - 1834 - 94 pages
...third. This case, however, may be solved by means of the known property of a right angled triangle, viz. the square of the hypothenuse is equal to the sum of the squares of the two sides. It may moreover be resolved with facility by means of the two propositions... | |
 | Francis Lieber, Edward Wigglesworth - Encyclopedias and dictionaries - 1835 - 618 pages
...the most important : The three angles of a triangle are together equal to two right angles ; and in a right-angled triangle, the square of the hypothenuse is equal to the sum of the squares of the two sides. This last is still called the Pythagorean theorem (also magister mathtseos),... | |
 | Abel Flint - Geometry - 1835 - 368 pages
...square root, without finding the angles ; according to the following PROPOSITION ; IN EVERY RIGHT ANGLED TRIANGLE, THE SQUARE OF THE HYPOTHENUSE IS EQUAL TO THE SUM OF THE SQUARES OF THE TWO LEGS. HENCE, THE SQUARE OF THE GIVEN LEG BEING SUBTRACTED FROM THE SQUARE OF THE... | |
 | W. H. Spiller - Algebra - 1835 - 210 pages
...root, . 2x + 15 = ± 21 ; ,., = ! = , Ex 22. Here, we will suppose the hypothenuse to be x ; then, as the square of the hypothenuse is equal to the sum of the squares of the sides in a right-angled triangle, we shall have or *s = 2r!— 18* +45; transpo. and... | |
 | Adrien Marie Legendre - Geometry - 1836 - 394 pages
...found by the first two theorems ; or if two of the sides are given, by means of the property, that the square of the hypothenuse is equal to the sum of the squares of the other two sides. EXAMPLES. Ex. 1. In the right angled triangle BCA, there are given... | |
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The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302. 
