 | Benjamin Greenleaf - 1849 - 336 pàgines
...hypothenuse, and the angle at ' B is a right angle. Base. ART. 373. 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... | |
 | George Campbell - 1849 - 472 pàgines
...instance, of the first kind, the following affirmations : " The cube of two is the half of sixteen." " The square of the hypothenuse is equal to the sum of the squares of the sides." " If equal things be taken from equal things, the remainders will be equal."... | |
 | Nathan Daboll, David Austin Daboll - 1849 - 260 pàgines
...perpendicular 48 rods, how many acres ? Ans. 7a. 2r. 36 roife. ART. 2. — In .every right-angled triangle, the square of the hypothenuse is equal to the sum of the squares of the other two sides. 1. Hence, when the legs are given, to find the ttypothenuse. RULE.... | |
 | George Roberts Perkins - 1850 - 356 pàgines
...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 Chamberlain Smith - 1850 - 314 pàgines
...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 - 332 pàgines
...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... | |
 | Jeremiah Day - 1851 - 418 pàgines
...manner of stating them from the figure, as to be able to explain them, whenever they are referred to. 94. Other relations of the sine, tangent, &c., may...square of the hypothenuse is equal to the sum of the squares of the perpendicular sides. (Euc. 47. 1.) In the right angled triangles CBG, CAD, and CHP,... | |
 | Edward Deering Mansfield - 1851 - 348 pàgines
...it was 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... | |
 | William Smyth - 1851 - 272 pàgines
...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.... | |
 | Charles William Hackley - 1851 - 536 pàgines
...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... | |
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... the square of the hypothenuse is equal to the sum of the squares of the other two sides. 
