| Mathematics - 1860 - 294 pages
...The sum of the radii of the inscribed cirele and of the cirele touching the hypothenuse and extension of the two legs of a right triangle is equal to the oum of the said legs. Find C and C', the centres of the two circles, by bisecting the angles including... | |
| George Albert Wentworth, George Anthony Hill - Arithmetic - 1887 - 448 pages
...angles is equal to 30°, the opposite side is equal to half the hypotenuse. The sum of the squares upon the two legs of a right triangle is equal to the square upon the hypotenuse ; or, 21? + TH? = 'AC1. If one of the legs, as AB, be taken for the base, then... | |
| George Albert Wentworth - Geometry - 1888 - 264 pages
...sides, but because they lie opposite corresponding equal angles. PROPOSITION XVI. THEOREM. \/ 338. The sum of the squares of the two legs of a right triangle is equal to the square of the hypotenuse. Let AEC be a right triangle with its right angle at B. To prove AB* + W = AC\ Proof. Draw BF_L to AC.... | |
| George Albert Wentworth - Geometry - 1888 - 466 pages
...sides, but because they lie opposite corresponding equal angles. PROPOSITION XVI. THEOREM. 338. The sum of the squares of the two legs of a right triangle...is equal to the square of the hypotenuse. B Let ABC fie a right triangle with its right angle at B. To prove AB* -f- BC2 = AC\ Proof. Draw BFJL to AC.... | |
| George Albert Wentworth - Algebra - 1892 - 312 pages
...is equal to 30°, the opposite side is equal to half the hypotenuse. AB The sum of the squares upon the two legs of a right triangle is equal to the square upon the hypotenuse ; or, If one of the legs, as AB, be taken for the base, then the other leg .6(7... | |
| George Albert Wentworth - Geometry - 1894 - 456 pages
...opposite corresponding equal angles. PLANE GEOMETRY. BOOK III. PROPOSITION XVI. .THEOREM. 338. The sum of the squares of the two legs of a right triangle is equal to the square of the hypotenuse. B Let ABG be a right triangle with its right angle at B. To prove AB" + BC* = AC\ Proof. Draw BF± to AC.... | |
| George Albert Wentworth, George Anthony Hill - Geometry - 1894 - 150 pages
...between the hypotenuse and the segment adjacent to the leg. 232. Theorem. The sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse. 233. Theorem. If two chords intersect, the product of the two parts of one is equal to the product... | |
| George Albert Wentworth - 1894 - 318 pages
...is equal to 30°, the opposite side is equal to half the hypotenuse. AB The sum of the squares upon the two legs of a right triangle is equal to the square upon the hypotenuse ; or, If one of the legs, as AB, be taken for the base, then the other leg BC will... | |
| George Albert Wentworth - Mathematics - 1896 - 68 pages
...extremity of the diameter is a mean proportional between the diameter and the adjacent segment. 338. The sum of the squares of the two legs of a right triangle is equal to the square of the hypotenuse. 339. Cor. The square of either leg of a right triangle is equal to the difference of the squares of... | |
| Joseph Johnston Hardy - Geometry, Analytic - 1897 - 398 pages
...triangles have their sides respectively parallel, or respectively perpendicular, they are similar. 26. The sum of the squares of the two legs of a right triangle is equal to the square of the hypotenuse. 27. The square of either leg of a right triangle is equal to the difference of the squares of the hypotenuse... | |
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