Libros Libros 11 - 20 de 24 sobre Given two sides and the included angle, to find the third side and the remaining... 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... The Complete Mathematical and General Navigation Tables: Including Every ... - Página 13
por Thomas Kerigan - 1828 - 664 páginas
Vista completa - Acerca de este libro ## Elements of Plane and Spherical Trigonometry: With Their Applications to ...

Elias Loomis - 1855 - 178 páginas
...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...
Vista completa - Acerca de este libro ## A treatise on plane and spherical trigonometry, and on trigonometrical ...

John Hymers - 1858
...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...
Vista completa - Acerca de este libro ## Plane and spherical trigonometry. [With] Solutions of problems

Henry William Jeans - 1858
...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...
Vista completa - Acerca de este libro ## ELEMENTS OF PLANE AND SPHERICAL TRIGONOMETRY

ELIAS LOOMIS, LL.D. - 1859
...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...
Vista completa - Acerca de este libro ## The polymeter, or quintant

...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...
Vista completa - Acerca de este libro ## Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - 1871 - 58 páginas
...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...
Vista completa - Acerca de este libro ## Plane and Spherical Trigonometry, Parte2

Henry W. Jeans - 1872
...sin. 0   and , 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,...
Vista completa - Acerca de este libro ## Plane and spherical trigonometry. [With] Solutions of problems. [Followed by ...

Henry William Jeans - 1873
...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...
Vista completa - Acerca de este libro ## The Mechanical Engineer's Pocket-book: A Reference Book of Rules, Tables ...

William Kent - 1907 - 1129 páginas
...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...
Vista completa - Acerca de este libro ## Kent's Mechanical Engineers' Handbook, Volumen1

William Kent - 1923 - 2247 páginas
...180°- (38° 30' + 53° 6') = 88° 24'. C = a sin С -5- sin A = 27X0.9996-5-0.6225 = 43.35. CASE III. Given two sides and the included angle, to find the third side ,nd the remaining angle. Given sides a and ft and angle C. A + B = 180° — C. From Theorem II, (a...
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