| James Bates Thomson - Arithmetic - 1848 - 434 pages
...575-580.] SQUARE ROOT. 371 578. The square described on the hypothenuse of a rightangled triangle, is equal to the sum of the squares described on the other two sides. (Thomson's Legendre, B. IV. 11, Euc. I. 47.) The truth of this principle may be seen from the following... | |
| Charles Davies - Trigonometry - 1849 - 372 pages
...GI D K 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 the triangle ABC be right angled at A. Having described squares on the three sides, let fall from... | |
| Almon Ticknor - Measurement - 1849 - 156 pages
...bisected at the point 0. Fig. 25. 26. The square described on the hypotenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides. (Pig. B) Fig. A. Let the triangle ABC be right-angled at A. Having described squares on the three,... | |
| Charles Davies - Logic - 1850 - 400 pages
...example : when we prove that the square Example, described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides, we demonstrate the fact for all right-angled triangles. But in analysis, all numbers, all lines, all... | |
| 1851 - 716 pages
...constructed, the figure on the hypothenuse will be equivalent to the sum of those on the two legs (pL 3, fig. 54). A particular case of this proposition...the side, is called a square foot, a square inch, &c. To ascertain how many times one square is contained in another, it is necessary to find out how... | |
| 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.... | |
| 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... | |
| Adrien Marie Legendre - Geometry - 1852 - 436 pages
...right-angled triangle, right-angled at A : then will the square described on the hypothenuse BC be equivalent to the sum of the squares described on the other two sides, BA, AC. FGI H D Haying described a square on each of the three sides, let fall from A, on the hypothenuse,... | |
| 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.... | |
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