| William Frothingham Bradbury - Geometry - 1877 - 262 pages
...XXVIII. 68 1 In a triangle the square of a side opposite an acute angle is equivalent to the sum of **the squares of the other two sides minus twice the product of one of these sides and the** distance from the vertex of this acute angle to the foot of the perpendicular let fall upon this side... | |
| William Frothingham Bradbury - Geometry - 1880 - 260 pages
...XXVIII. 68. In a triangle the square of a side opposite an acute angle is equivalent to the sum of **the squares of the other two sides minus twice the product of one of these sides and the** distance from the vertex of this acute angle to the foot of the perpendicular let fall upon this side... | |
| Brookline (Mass.) - Brookline (Mass.) - 1881 - 674 pages
...opposite to an acute angle is equal to the sum of the squares of the other two sides diminished by **twice the product of one of these sides and the projection of the other** upon that side. Prove. 4. To find a mean proportional between two given straight lines. Proof of work.... | |
| Franklin Ibach - Geometry - 1882 - 208 pages
...THEOREM VII. 259. In any triangle, the square on the side opposite an acute angle. equals the sum of **the squares of the other two sides minus twice the product of one of** those sides and the projection of the other upon that side. In the A ABC, let c be an acute Z., and... | |
| Simon Newcomb - Logarithms - 1882 - 188 pages
...III. Given the three sides. THEOREM III. In a triangle the square of any side is equal to the sum, of **the squares of the other two sides minus twice the product of** these two sides into the cosine of the angle included oy them. In symbolic language this theorem is... | |
| Henry Elmer Moseley - Universities and colleges - 1884 - 214 pages
...triangle opposite an acute angle is equal to the sum of the squares of the other two sides diminished by **twice the product of one of these sides and the projection of the other** upon that side. 7. Two tangents drawn from the same point to the circumference of a circle include... | |
| Webster Wells - Geometry - 1886 - 392 pages
...side opposite an acute angle is equal to the sum of the squares of the other two sides, diminished by **twice the product of one of these sides and the projection of the other side upon it.** T> D Let C be an acute angle of the triangle AB C, and let CD he the projection of the side AC upon... | |
| William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...opposite to the obtuse angle is equal to the sum of the squares of the other two sides, increased by **twice the product of one of these sides and the projection of the other** upon that side. A FIG. 1. Fio. 2. PROPOSITION XI.— THEOKEM. 32. If two chords intersect within a... | |
| William Chauvenet, William Elwood Byerly - Geometry - 1887 - 336 pages
...opposite to the obtuse angle is equal to the sum of the squares of the other two sides, increased by **twice the product of one of these sides and the projection of the** P a B other upon that side. PROPOSITION XI.-THEOREM. 32. If two chords intersect within a circle, their... | |
| George Albert Wentworth - 1889 - 264 pages
...side opposite an acute angle is equal to the sum of the squares of the other two sides, diminished by **twice the product of one of these sides and the projection of the other** upon it. 163. Theorem. In an obtuse triangle the square of the side opposite the obtuse angle is equal... | |
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