the square of the hypothenuse equals the sum of the squares of the other two sides, The Chinese - 第 285 頁sir John Francis Davis (1st bart.) 著 - 1836完整檢視 - 關於此書
| John Francis Davis - 1840 - 383 頁
...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 - 200 頁
...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 - 200 頁
...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 J. F. Davis - 1846
...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
...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 - 366 頁
...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
...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 - 276 頁
...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
...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
...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... | |
| |