| George Roberts Perkins - 1850 - 342 páginas
...side opposite the right angle is called the hypothenuse. It is an established proposition of geometry, **that the square of the hypothenuse is equal to the sum of the** squares of the other two sides. From the above proposition, it follows that the square of the hypothenuse,... | |
| ROSWELL C. SMITH - 1850
...triangles the longest side is usually considered the Base. 15. In every right-angled triangle, — **The square of the hypothenuse is equal to the sum of the** squares of the other two sides ; as, 5033 402+302. [Fig. 8.] 16. Hence, to find the different sides,... | |
| George Roberts Perkins - 1850 - 320 páginas
...shall have (9+3)x(9-3)=12x6=9 " -3'=81-9=72. PROPOSITION VIII. THEOREM. In any right-angled triangle, **the square of the hypothenuse is equal to the sum of the** squares of the other two sides. Let ABC be a right-angled triangle, having the rightangle C ; then... | |
| William Smyth - 1851 - 236 páginas
...of the other two sides ? NOTE. In solving this and other similar questions, it will be recollected **that the square of the hypothenuse is equal to the sum of the** squares of the other two sides, and the area is equal to one half the product of these sideS. ANS.... | |
| Edward Deering Mansfield - 1851 - 330 páginas
...Pythagoras, in the year five hundred and ninety before Christ, who discovered the fundamental proposition **that the square of the hypothenuse is equal to the sum of the** squares of the other two sides. Euclid appeared in the year three hundred BC His object was to systematize... | |
| Edward D. Mansfield - 1851
...Pythagoras, in the year five hundred and ninety before Christ, who discovered the fundamental proposition **that the square of the hypothenuse is equal to the sum of the** squares of the other two sides. Euclid appeared in the year three hundred BC His object was to systematize... | |
| Horace Mann - 1851
...measured lines 10ft. apart. This mode of operation is founded on the property of right-angled triangles, **that the square of the hypothenuse is equal to the sum of the** squares of the other two sides. A roof is said to have a true pitch, when the length of each rafter... | |
| Charles William Hackley - 1851 - 372 páginas
...last, and a very simple formula depending upon the well-known property of the right angled triangle, **that the square of the hypothenuse is equal to the sum of the** squares of the other two sides, a formula expressing the value of the sine of half an arc in terms... | |
| Jeremiah Day - 1851
...given, the third side may be found, without the aid of the trigonometrical tables, by the proposition, **that the square of the hypothenuse is equal to the sum of the** squares of the two perpendicular sides. (Euc. 47. 1.) If the legs be given, extracting the square root... | |
| Benjamin Greenleaf - 1851
...side AC the hypolhenuse, and the angle at B is a right angle. ART. 272. In every right angled triangle **the square of the hypothenuse is equal to the sum of the** squares of the base and perpendicular, as shown by the following diagram. It will be seen by examining... | |
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