 | John Alton Avery - Geometry, Modern - 1903 - 136 pages
...equal area. THEOREM X 193. The square described on the hypotenuse of a right triangle is equivalent to the sum of the squares described on the other two sides. Hyp. Let ABC be a rt. A, and let squares ACDX, BCRF, and ABLK be described on the hypo. AC, side BO,... | |
 | Euclid - Euclid's Elements - 1904 - 488 pages
...fill up the square DC. PROPOSITION 48. THEOREM. If the square described on one side of a triangle be equal to the sum of the squares described on the other two sides, then the angle contained by these two sides shall be a right angle. BC Let ABC be a triangle ; and... | |
 | Jacob Henry Minick, Clement Carrington Gaines - Business mathematics - 1904 - 412 pages
...with the base. 438. To find the Hypotenuse. It is seen that the square described on the hypotenuse is equal to the sum of the squares described on the other two sides. Hence. RULE. — Add the square of the lose to the square of tJie perpendicular, and extract the square... | |
 | John Henry Moore - Business mathematics - 1904 - 404 pages
...hypothenuse of a right-angled triangle is the side opposite the right angle. 999. The square formed on the hypothenuse of a right-angled triangle is equal to the sum of the squares formed on the base and perpendicular. Hence, The hypothenuse of a right-angled triangle... | |
 | Alfred Cook - Psychology - 1904 - 408 pages
...must be true upon the moon ? According to tradition, when Pythagoras had proved that the square upon the hypothenuse of a right-angled triangle is equal to the sum of the squares upon the other two sides, he returned thanks to heaven, making an expensive sacrifice.... | |
 | International Correspondence Schools - Building - 1906 - 634 pages
...Theorem or Pythagoras. — In any right triangle, the square described on the hypotenuse is equivalent to the sum of the squares described on the other two sides. Let ABC, Fig. 38, be a right triangle. Draw an equal triangle in the position C B' C', so that C B' will be... | |
 | David Sands Wright - Geometry - 1906 - 104 pages
...given triangles. 25. Theorem. The square described on the side of a triangle opposite an acute angle is equal to the sum of the squares described on the other two sides diminished by twice the product of one of those sides by the projection of the other side upon it.... | |
 | Charles Gardner Wheeler - Woodwork - 1907 - 594 pages
...of the plan of the house by extracting the square root of the sum of the squares of the two sides. (The square described on the hypothenuse of a right-angled triangle is equal to the sum of the squares described on the other two sides.) You can measure the diagonal directly from a plan if... | |
 | Stephen Girard Nye - Judges - 1908 - 414 pages
...have learned to demonstrate the proposition commonly called pans asinorum, that the square erected on the hypothenuse of a right-angled triangle is equal to the sum of the squares erected on the other two sides. Then let them try to lie out of it. It can't be done. Mathematics... | |
 | Clayton Meeker Hamilton - Fiction - 1908 - 264 pages
...examination of concrete examples. The following sentence, for instance, is devoid of style: "The square on the hypothenuse of a right-angled triangle is equal to the sum of the squares on the other two sides": for, although by its content it conveys to the intellect a meaning... | |
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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. 
