 | Nathan Daboll - 1843 - 254 sider
...and perpendicular 48 rods, how many acres ? Ans. 7a. 2r. 36 rods. 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 hypothenuse. RULE. Add... | |
 | William Carus Wilson - 1848 - 978 sider
...the heart, the circulation of the blood, and the process of respira10. Prove that in a right-angled triangle the square of the hypothenuse is equal to the sum of the squares of the sides. 11 Prove that if two straight lines intersect one another in a circle, the rectangles... | |
 | Anna Cabot Lowell - 1846 - 216 sider
...ABFG. Consequently CDML -f LMEA = square ACED = square AFGB -j- BCKH. That is, in every right-angled triangle the square of the hypothenuse is equal to the sum of the squares of the other two sides. This is called the proposition of Pythagoras, because he first discovered... | |
 | 1846 - 614 sider
...Humeist did not really doubt that Caesar once lived in Rome — that the sun will rise to-morrow — that the square of the hypothenuse is equal to the sum of the squares of the opposite sides. In all these matters man is satisfied to act upon the knowledge arising... | |
 | George Roberts Perkins - 1847 - 326 sider
...X (9 — 3) = 12 X 6 = 9" — 3" = 81 — 9 = 72. E2 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 right angle C ; then... | |
 | Charles William Hackley - 1847 - 248 sider
...equally divides the parallelogram AF, and ABCD is the half of it. QED THEOREM XXVI. 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 right angle A ; then... | |
 | Roswell Chamberlain Smith - 1847 - 308 sider
...Irregular figure divide it into triangles. A In any right-angled triangle, it has been ascertained, that the square of the hypothenuse is equal to the sum of the squares of the other two sides. Thus, in the adjacent figure, 40« = 1600, andSO2 = 900 ; then,-/ 900+1600... | |
 | Jeremiah Day - 1848 - 354 sider
...referred to. 94. Other relations of the sine, tangent, die., may be derived from the proposition, that the square of the hypothenuse is equal to the sum of the squares of the perpendicular sides. (Euc. 47. 1.— Thomson 11. 4.) In the right angled- triangles... | |
 | Benjamin Greenleaf - 1849 - 336 sider
...perpendicular, the j? side AC the 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... | |
 | Nathan Daboll, David Austin Daboll - 1849 - 260 sider
...and 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.... | |
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The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302. 
