 | 1851 - 716 pages
...particular case of this proposition is known as the Pythagorean : the square described upon the hypothenuse is equivalent to the sum of the squares described on the other two sides. As the unit of measure for the determination of the superficial relations of figures, we use a square... | |
 | Johann Georg Heck - Encyclopedias and dictionaries - 1851 - 712 pages
...particular case of this proposition is known as the Pythagorean : the square described upon the hypothenuse is equivalent to the sum of the squares described on the other two sides. As the unit of measure for the determination of the superficial relations of figures, we use a square... | |
 | 1851 - 382 pages
...a given angle, . •I. If the square described upon one of the sides _ 1C 3 of a triangle be equal to the sum of the squares described on the other two sides, the angle contained by those two sides is a right angle, . . 3. If a straight line be divided into... | |
 | Daniel Leach - Arithmetic - 1851 - 280 pages
...the hypothenuse, and A Eas6' the other two sides the base and perpendicular. longest side , is equal to the sum of the squares described on the other two sides. Thus, suppose the longest side is 10 ft.., the base 6 ft., and the perpendicular 8 ft. 102:z=:100.... | |
 | Adrien Marie Legendre - Geometry - 1852 - 436 pages
...algebraical formula, (a+b)x(ab)=o?-b*. PROPOSITION XI. THEOEEM. The square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the two other sides. Let BCA be a right-angled triangle, right-angled at A : then will the square described... | |
 | Charles Davies - Arithmetic - 1852 - 438 pages
...particular notice. In every right angled triangle, the square described on the hypothenuse, is equal to the sum of the squares described on the other two sides. Thus, if ABC be a right angled tria,ngle, right angled at C, then will the square D described on AB... | |
 | Daniel Leach - Arithmetic - 1853 - 622 pages
...the base and perpendicular. 293. The square described on the hypothenuse, or longest side, is equal to the sum of the squares described on the other two sides. Thus, suppose the longest side is 10 ft., the base 6 ft., and the perpendicular 8 ft. 10a=100. 6a=36.... | |
 | Charles Davies - Geometry - 1854 - 436 pages
...expressed by the algebraical formula, PROPOSITION XI. THEOREM. The square described on the hypothenuse of a right•angled triangle is equivalent to the...sum of the squares described on the other two sides. Let BCA be a right•angled triangle, right•angled at A : then will the square described on the hypothenuse... | |
 | George Roberts Perkins - Geometry - 1856 - 460 pages
...THIRD BOOK. COMPARISON OF SQUARES CONSTRUCTED ON CERTAIN LINES. THEOREM XXIX. The square constructed on the hypotenuse of a right-angled triangle, is equivalent to the sum of the squares constructed respectively on the other two sides. This Theorem is not a fundamental one, like Theorem... | |
 | Adrien Marie Legendre, Charles Davies - Geometry - 1857 - 442 pages
...formula, PROPOSITION XI. THEOREM. The square described on tlie hypothenuse of a right•angled tri angle is equivalent to the sum of the squares described on the other two sides. Let BCA be a right•angled triangle, right•angled at A : then will the square described on the hypothenuse... | |
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The square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides. 
