 | John Hymers - 1858 - 324 páginas
...cos B ; 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 - 518 páginas
...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 - 1861 - 638 páginas
...(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 - 532 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 - 1863 - 504 páginas
...(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... | |
 | Benjamin Greenleaf - 1876 - 204 páginas
...(A -f- 5) : tan ¿ (Л — .S). (95) 113. 7« any triangle, the square of any side is eyual to the sum of the squares of the two other sides, diminished by twice the rectangle of these sides multiplied by the cosine of the included angle. Let A В G be any plane triangle,... | |
 | Dublin city, univ - 1878 - 498 páginas
...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 páginas
...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 - 234 páginas
...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.... | |
 | Webster Wells - 1887 - 200 páginas
...(Art. 14). Thus formula (48) may be put in the form g + b _ cot £ C a — b~tau$(A — B)' (51) 116. 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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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. 
