 | George Albert Wentworth - Geometry, Modern - 1882 - 268 pages
...THEOREM. 335. In any triangle, the square on the side opposite an ande angle is equivalent to the sum of the squares of the other two sides diminished by twice the product of one of those sides and the projection of the other upon that side. Let С be an acute angle of the triangle... | |
 | Henry Elmer Moseley - Universities and colleges - 1884 - 214 pages
...chords. 6. Prove that the square of a side of a triangle opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice...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 an angle of 80".... | |
 | George Albert Wentworth - 1884 - 264 pages
...side opposite 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 it. 164. Theorem. If through a fixed point within a circle a chord is drawn, the product of the two... | |
 | William Chauvenet - Geometry - 1884 - 384 pages
...THEOREM. 52. In any triangle, the square of the side 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 s>,des and the projection of the other upon that side. Let C be an acute angle of the triangle ABC,... | |
 | Webster Wells - Geometry - 1886 - 392 pages
...THEOREM. 341. In any triangle the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides, diminished by...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... | |
 | William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...side 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 circle, their segments... | |
 | William Chauvenet, William Elwood Byerly - Geometry - 1887 - 336 pages
...side 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 - 1887 - 346 pages
...and the law may be stated as follows: The square of any side of a triangle is equal to the sum of (he squares of the other two sides, diminished by twice the product of the sides and the cosine of the included angle. § 38. LAW OF TANGENT8. By § 36, a : b = einA : sinJS;... | |
 | George Albert Wentworth - Geometry - 1888 - 272 pages
...THEORKM. 342. In any triangle, the square of the 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 those sides and the projection of the other upon that side. D FiG. 1. Let C be an acute angle of the... | |
 | George Albert Wentworth - 1889 - 276 pages
...legs. 162. Theorem In a triangle the square of a side opposite an acute angle is equal to the sum of the squares of the other two sides, diminished by...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 to... | |
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In any triangle, the square of the side 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. 
