 | Elias Loomis - Trigonometry - 1855 - 192 pages
...AC=299.6. In this example there is no ambiguity, because the given angle is obtuse. CASE III. (55.) Given two sides and the included angle, to find the third side and the remaining angles. The sum of the required angles is found by subtracting the given angle from... | |
 | John Hymers - Logarithms - 1858 - 324 pages
...suppose, and the colatitudes PA = b, PB = a, are known ; so that in the spherical triangle APB there are given two sides and the included angle to find the third side AB = c, which may be done by the formula of Art. 43, л , ^ cos a cos Ф — 0) tan в = tan a cos... | |
 | Henry William Jeans - 1858 - 106 pages
...find from the tables. RULE IX. — THIRD METHOD (REQUIRING ONLY THE COMMON TABLE OF SINES, «fee.). Given two sides and the included angle, to find the third side. Take the difference. between the two given sides: divide it by 2, and thus get -half the difference... | |
 | Frederick Robert A. Glover - 1859 - 108 pages
...accomplished by one operation instead of two. The first case has already been considered. The second case is, Given two sides and the included angle to find the third side and remaining angle. The required side must be first sought. The instrument must be opened to shew... | |
 | Elias Loomis - Logarithms - 1859 - 372 pages
...AC=299.6. In this example there is no ambiguity, because the giver* angle is obtuse. CASE III. (55.) Given two sides and the included angle, to find the third side and the remaining angles. The sum of the required angles is found by subtracting the given angle from... | |
 | Elias Loomis - Geometry - 1871 - 302 pages
...AC=299.6. In this example there is no ambiguity, because the givet angle is obtuse. CASE III. (55.) Given two sides and the included angle, to find the third side and the remaining' angles. The sum of the required angles is found by subtracting the given angle from... | |
 | Henry W. Jeans - 1872 - 142 pages
...sin. 0 [2] [1] and [2], in words, are Eule IV. First Method. (87.*) Proof of Rule IV. Second Method. Given two sides and the included angle, to find the third side. Since 2 be . cos. A=us+c" — a2 * — 2 ¿i« . cos. A L —cos. A) =(b—cf + Ш . sin.2Á- (a) Again,... | |
 | Henry William Jeans - 1873 - 292 pages
...10-574359 log. sin. . 9-985104 log. &... 1-589255 &=38-84 EULE IV. — SECOND METHOD, WITHOUT HAVERSINES. Given two sides and the included angle, to find the third side. Add together the two given sides, and also subtract them : thus find their sum and difference. Put... | |
 | American Mathematical Society - Mathematics - 1925 - 626 pages
...the two cases of spherical trigonometry: (1) Given three sides of a triangle to find an angle. (2) Given two sides and the included angle to find the third side. In both these cases the necessary formulas can be reduced to forms involving the sums and differences... | |
 | William Kent - Engineering - 1907 - 1206 pages
...by subtracting the sum of the other two from 180", and the third side is found as in Case I. CASK m. Given two sides and the included angle, to find the third side and the remaining angles. The sum of the required angles is found by subtracting the given angle from... | |
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Given two sides and the included angle, to find the third side and the remaining angles. The sum of the required angles is found by subtracting the given angle from 180°. The difference of the required angles is then found by Theorem II. Half the difference... 
