| John Hymers - 1841 - 151 páginas
...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 - 232 páginas
...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 - 490 páginas
...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 - 490 páginas
...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 - 320 páginas
...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 - 150 páginas
...(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
...(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
...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 - 208 páginas
...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
...— 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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