 | John Hymers - 1841 - 244 pàgines
...sin Л а sin B b' It A = 90°, we still have, in conformity with the theorem, 6 sin В = . a 92. In any triangle, the square of any side is equal to the sum of the squares of the two other sides, diminished by twice the product of these sides and the cosine of the... | |
 | John Hymers - 1858 - 324 pàgines
...but BA = BD — AD ; If A = 90° we still have in conformity with the theorem, с = a cos B. 92. In any triangle, the square of any side is equal to the sum of the squares of the two other sides, diminished by twice the product of these sides and the cosine of the... | |
 | Benjamin Greenleaf - 1862 - 532 pàgines
...£) or, as it may be written, a-\-b : a — b : : tan £ (A + -B) : tan (94) — .B). (95) 113. ./« any triangle, the square of any side is equal to the sum of the squares of the two other sides, diminished by twice the rectangle of these sides multiplied by the... | |
 | Benjamin Greenleaf - 1862 - 518 pàgines
...(94) or, as it may be written, a + b : a — b : : tan £ (A -\- B) : tan £ (A — B). (95) 113. In any triangle, the square of any side is equal to the sum of the squares of the two other sides, diminished by twice the rectangle of these sides multiplied by the... | |
 | Benjamin Greenleaf - 1863 - 504 pàgines
...— B) ' « + 6 __ tan % (A + B) tan ^ (A — B) ' (94) (A -\- B) : tan £ (A — B). (95) B 113. In any triangle, the square of any side is equal to the sum of the squares of the two other sides, diminished by twice the rectangle of these sides multiplied by the... | |
 | Alfred Challice Johnson - 1865 - 166 pàgines
...(A) Which proves Rule II. PROPOSITION II. The square of any side of a triangle is equal to the sum of the squares of the other two sides, minus twice the product of those two sides, and the cosine of the angle included by them. First, let the triangle А В С be... | |
 | Alfred Challice Johnson - 1871 - 178 pàgines
...(А) Which proves Rule II. PROPOSITION II. The square of any side of a triangle is equal to the sum of the squares of the other two sides, minus twice the product of those two sides, and the cosine of the anale included by them. First, let the triangle А В С be... | |
 | André Darré - 1872 - 226 pàgines
...H THEOREM. 91. In any triangle the square of a side opposite an acute angle is equal to the sum of the squares of the other two sides, minus twice the product of one of these sides by the projection on it of the other. Def. The projection of one line on another... | |
 | Henry Nathan Wheeler - 1876 - 204 pàgines
...of half their difference . . 78 § 73. The square of any side of a triangle is equal to the sum of the squares of the other two sides, minus twice the product of those sides into the cosine of their included angle 73 § 74. Formula for the side of a triangle, in... | |
 | Henry Nathan Wheeler - 1876 - 128 pàgines
...— C)' 6 — c tani(B — C)' § 73. The square 'of any side of a triangle is equal to the sum of the squares of the other two sides, minus twice the product of those sides into the cosine of their included angle. FIG. 43. FIG 44. Through c in the triangle ABC... | |
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In any 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 and the cosine of their included angle. 
