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. Plane Trigonometry - Pàgina 75per Webster Wells - 1887 - 103 pàginesVisualització completa - Sobre aquest llibre
| John Hymers - 1841 - 244 pàgines
...also, 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 - 292 pàgines
...B+ Ъ cos A. \ \ II ii If A = 90° we still have in conformity with the th eorem, 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 - 1861 - 638 pàgines
...(A—B)' (94) or, as it may be written, a + b : a — b : : tan (A + B) : tan £ (A — B). (95) B 118. 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 - 1862 - 518 pàgines
...ten|^I^, (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 - 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 - 1863 - 504 pàgines
...(A — 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... | |
| Dublin city, univ - 1878 - 498 pàgines
...circle : — (a). Any side is equal to twice the tangent from its middle point to the circle. (4). The square of any side is equal to the sum of the squares of the tangents from its extremities to the circle. 14. A square is described on the hypotheneuse... | |
| Simon Newcomb - 1882 - 372 pàgines
...required parts of the triangle from the altitude. CASE 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... | |
| Webster Wells - 1883 - 298 pàgines
...may also be written a + b cotí C 146. In any triangle the square of any side is equal to the sum of the squares of the other two sides, minus twice their product into the cosine of their included angle. CA8E I. When the included angle is acute. А c DB There will be two cases to consider according as... | |
| Webster Wells - 1883 - 234 pàgines
...ca Since the result (80) may also be written a+b _ COt i Ü ХддЧ а — b tan b (A — В) 146. In any triangle the square of any side is equal to the sum of the squares of the other two sides, minus twice their product into the cosine of their included angle.... | |
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