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" 59. CASE IV. Given two angles A and B, and the side, a opposite to one of them. The side b is found from [44], whence sin b = sin a sin B esc A. The values of c and C may then be found by means of Napier's Analogies, the fourth and second of which give "
Plane and Spherical Trigonometry, Surveying and Tables - Page 162
by George Albert Wentworth - 1895 - 214 pages
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 pages
...other two sides a, b. i " To find the third angle C. sin a ; sin c : : sin A : sin C. IV. (31.) @iven two angles A and B, and the side a, opposite to one of them. To find b, the side opposite to the other. sin A : sin B : : sin a : sin b. To find c, the side between...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 350 pages
...other two sides a, b. To find the third angle C. sin a : sin c : : sin A : sin C. IV. . (31.) Uiven two angles A and B, and the side a, opposite to one of them To find 6, the side opposite to the other. sin A : sin B : : sin a : sin 6. To find c, the side between...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1826 - 506 pages
...B) tan 5 ( + 6) = tan Jcx ~ s i (A+B y To find the third angle C. sin a : sin c : : sin A : sin C. IV. Given two angles A and B, and the side a, opposite to one of them. To find 6 the side opposite to the other. sin : A sin B : : sin a : sin b. To find c, the side between...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1826 - 326 pages
...the 'other two sidus a, b. (31.) To find the third angle C. sin a : sin e ;; sin A : sin C. IV. Cirea two angles A and B, and the side a, opposite to one of them. To find 6, the side opposite to the other. sin A : sin B : : sin a : sin 6. To find e, the side between...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Euclid's Elements - 1832 - 358 pages
...other two sides a, b. COS To find the third angle C. sin a : sin c :: sin A : sin C, IV. (31.) (81.) Given two angles A and B, and the side a, opposite to one of them. To find b, the side opposite to the other. sin A : sin B :: sin a : sin b. To find c, the side between...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1833 - 346 pages
...find the other two sides a, b. . (31.) To find the third angle C. sin a : sin c : : sin A : sin C. IV. Given two angles A and B, and the side a, opposite to one of them. To find b, the side opposite to the other. sin A : sin B : : sin a : sin b. To find c, the side between...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1836 - 488 pages
...find the other two sides a, b. - (81.) To find the third angle C sin a : sin c : : sin A : sin C. . IV. Given two angles A and B, and the side a, opposite to one of them. To find b the side opposite to the other. sin : A sin B :: sin a : sin b. To find c, the side between...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1838 - 342 pages
...frr-n^- ( 3L ) cos (A+B) eos (A — B) To find the third angle C. sin a : sin c : : sin A : sin C. IV. Given two angles A and B, and the side a, opposite to one of them. To find b, the side opposite to the other. sin A : sin B : : sin a : sin b. To find c, the side between...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1844 - 338 pages
...B : sin A : : sin b : sin a. III. (81.) To find the third angle C. sin a : sin c : : sin A : sin C. IV. Given two angles A and B, and the side a, opposite to one of them. To find 4, the side opposite to the other. sin A : sin B : : sin a : sin 6. To find c, the side between...
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The Elements of Spherical Trigonometry

James Hann - Spherical trigonometry - 1849 - 84 pages
...the second, and is treated in the same manner, and has the same ambiguities. 33. CASE 5. Given the two angles A and B, and the side a opposite to one of them, to find b, c, C. We deduce I from the proportion sin A : sin B :: sin a : sin b, and we find c and...
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