| Sir John Francis Davis - 1840 - 422 Seiten
...whose sides are as 5, 4, 3, the squares are as 25, 16, and 9 ; and it is only when the sides are -'" these exact proportions that such a clumsy sort of...the sum of the squares of the other two sides," or 25=16-|-9. Mr. Barrow has observed, that the open and closed points connected by lines, and said by... | |
| Seba Smith - 1850 - 214 Seiten
...as innumerable others which might be given, simply by the application of the theorem of Pythagoras, that the square of the hypothenuse equals the sum of the squares of the other two sides. For instance, let it be required to obtain the length of B9, terminating at 9... | |
| Seba Smith - 1850 - 214 Seiten
...respectively equal. PROPOSITION LXE. The grand theorem of Pythagoras. — In every rightangled triangle, the square of the hypothenuse equals the sum of the squares of the other two sides. REMARK. — More than two thousand years ago this beautiful and important truth... | |
| Sir John Francis Davis - 1846 - 514 Seiten
...but by construction or measurement. In a right-angled triangle, whose sides are as 5, 4, 3, SCIENCES. the squares are as 25, 16, and 9 ; and it is only...the sum of the squares of the other two sides," or 25=16 + 9. Mr. Barrow has observed, that the open and closed Eoints connected by lines, and said by... | |
| 1855 - 900 Seiten
...that tJie three angles of a triangle are equal to two right angles, or that in a right angled triangle the square of the hypothenuse equals the sum of the squares of the legs, and, with some previous training and preparation, he may be able to construct an original... | |
| Dana Pond Colburn - 1855 - 396 Seiten
...right-angled triangle is called the hypotlienuse. In figure 2 the side AC is the hypothenu.se. (6.) The square of the hypothenuse equals the sum of the squares of the other two sides. (c.) The annexed figure will illustrate the meaning of this. Its truth can be... | |
| Sir John Francis Davis - 1857 - 442 Seiten
...after it is concluded, which, in the event of error, necessitates the work being recommenced de novo. The Chinese books contain a diagram which in a manner...such a manner as to count fifteen every way, thus : — Such are the puerile matters that are contained in the ancient and original works of the Chinese.... | |
| Dana Pond Colburn - 1858 - 288 Seiten
...Problems. (a.) The side opposite the right angle of a right-angled triangle is called the hypothenuse. The square of the hypothenuse equals the sum of the squares of the other two sides. NOTE. — This is illustrated by the annexed figure, and can be rigidly demonstrated... | |
| Dana Pond Colburn - 1860 - 388 Seiten
...right-angled triangle is called the hypothenuse. In figure 2 the side AC is the hypothenuse. (ft.) The square of the hypothenuse equals the sum of the squares of the other two i.deB. (p.) The annexed figure will illustrate the u.tiinmg of this. Its truth can be... | |
| Edward Brooks - 1863 - 344 Seiten
...Perpendicular. In right angled triangles we have the following principles from geometry : — Base. PaiN. I. — The square of the hypothenuse equals the sum of the squares of the other two sides. . PRIN. II. — Hence the square of either side equals the square of the hypothenuse... | |
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