| William Carus Wilson - 1848 - 978 pages
...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... | |
| 1846 - 614 pages
...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... | |
| American periodicals - 1846 - 636 pages
...Uumeist did not really doubt that Ceesar once Uted in Rome — that the sun will rise to-morrow — thit **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... | |
| Anna Cabot Lowell - Geometry - 1846 - 216 pages
...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... | |
| Roswell Chamberlain Smith - Arithmetic - 1847 - 308 pages
...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... | |
| Charles William Hackley - Geometry - 1847 - 248 pages
...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... | |
| George Roberts Perkins - Geometry - 1847 - 326 pages
...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... | |
| Jeremiah Day - Logarithms - 1848 - 354 pages
...able to explain them, whenever they are 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... | |
| Charles Davies - Trigonometry - 1849 - 372 pages
...may be found by the first two theorems ; or if two of the sides are given, by means of the property, **that the square of the hypothenuse is equal to the sum of the** squares of the other two sides. EXAMPLES. Ex. 1. In the right angled triangle BCA, there are given... | |
| George Roberts Perkins - Arithmetic - 1849 - 356 pages
...opposite the right angle is called the hypothenuse. It is an establisJied 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,... | |
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