 | Aaron Schuyler - 1873 - 536 pàgines
...97. Theorem. The square of either side of a triangle is equal to the sum of the squares of the other sides, minus twice their, product into the co-sine of their included angle. 1st. When the angle is acute. (1) m = b — n. B (I)2 =(2) m2 = 62+7i2— 2 bn. (3) p*=p*. (2)+(3)=(4)... | |
 | Aaron Schuyler - 1875 - 284 pàgines
...-0)97. Theorem. The square of any side of a triangle is equal to the sum of the squares of the other sides, minus twice their product into the co-sine of their included angle. 1st. When the angle is acute. (1) m = b — п. в (I)2 = (2) т2 = ¿>2+»i2— 2 bn. (3) p*=p*. *... | |
 | Webster Wells - 1883 - 234 pàgines
...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. CASE I. When the included angle is acute. с D В There will be two cases to consider according as... | |
 | Webster Wells - 1887 - 200 pàgines
...£ 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. CASE I. When the included angle A is acute. 0 ъ, FIG. 1. There will be two cases, according as the... | |
 | Webster Wells - 1887 - 158 pàgines
...the form a + b _ cot ^ С '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. CASE I. When the included angle A is acute. О Л С DB Fm. 1. There will be two cases, according as... | |
 | Charles Ambrose Van Velzer, George Clinton Shutts - 1894 - 416 pàgines
...AB upon CDisMN. B M N PROPOSITION XII. THEOREM. 278. The square on the side opposite an acute angle of a triangle equals the sum of the squares of the other two sides minus twice the product of one side by the projection of the other side upon that side. G To prove that the square... | |
 | Webster Wells - 1896 - 236 pàgines
...(51) and - = . (52) с — at — 109. /и 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. I. To prove a2 = b2 + c2 - 2 be cos A. (53) CASE I. When the included angle A is acute. (Figures of... | |
 | Henry Clifford Cheston, James Stewart Gibson, Charles E. Timmerman - 1906 - 526 pàgines
...triangles. I. Any two sides of a triangle are to each other as the sines of the opposite angles. II. The square of any side of a triangle equals the sum of the squares of the other two sides, ± twice their product times the cosine of the angle included by them (+, if the... | |
 | Lester Gray French - 1907 - 440 pàgines
...formula used is the one stating that "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." For example, if there are given values of V ' , w, and angles A and B; and it is required to find R... | |
 | Levi Leonard Conant - 1909 - 320 pàgines
...cosines can now be stated as follows : (4) The square of any side of a triangle is equal to the sum of the squares of the other two sides minus twice their product into the cosine of the included angle. 97. The law of tangents. We have already proved that, in any triangle, T = —... | |
| |
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. 
