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" The sine of an angle is equal to the sine of its supplement. The sine rule Consider fig. "
The Theory and Practice of Surveying: Containing All the Instructions ... - Página 101
por Robert Gibson - 1833 - 348 páginas
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The British Review, and London Critical Journal, Volumen1

1811 - 572 páginas
...have Sin. A. Cos. B + Cos. A. Sin. B — t- ' and Sin.c = Sin.(180* — A + B) = Sin. A + B, since the sine of an angle is equal to the sine of its supplement. Hence Sin. A + B = Sin. A. Cos. B 4- Cos. A. Sin. BQED All this is perfectly legitimate ; but how is...
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - 1819 - 442 páginas
...(78) A e CB : CA :: sin. A : sin. B•, CA hence sin. B = ~ x sin. A, and may .-. be determined. But as the sine of an angle is equal to the sine of its supplement, the angle B may be greater or less than a right angle, unless BC be greater than AC and consequently...
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - 1819 - 444 páginas
...xc CB : CA :: sin. A : sin. JB; CA hence sin. U = „-£ x sin. ^/, and may .'. be determined. But as the sine of an angle is equal to the sine of its supplement, the angle B may be greater or less than a right angle, unless BC be greater than AC and consequently...
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The Theory and Practice of Surveying: Containing All the Instructions ...

Robert Gibson - 1821 - 594 páginas
...other given side, will be always acute ; but when the given angle is acute and opposite the lesser of the given sides, the answer is ambiguous, as the...unless it is given in the conditions of the problem. In the last problem the given angle is acute, and the side opposite to it less than the other given...
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A Popular Exposition of the System of the Universe: With Plates ..., Volumen1

Ferdinand Rudolph Hassler - 1826 - 640 páginas
...No. 1, of the series A, or first definition, we have in the two triangles, and in both cases, (since the sine of an angle is equal to the sine of its supplement.) dd — = sin C ; and — = sin B bc Therefore : d = b . sin C = c . sin B Or, expressed in a proportion...
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Elements of Analytic Trigonometry: Plane and Spherical

Ferdinand Rudolph Hassler - 1826 - 208 páginas
...No. l, of the series A, or first definition, we have in the two triangles, and in both cases, (since the sine of an angle is equal to the sine of its supplement.) dd — = sin С ; and — = sin В b Therefore : d = i . sin С = с . ein B Or, expressed in a proportion...
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A Syllabus of a Course of Lectures Upon Trigonometry, and the Application of ...

Henry Pearson - 1833 - 164 páginas
...angle is equal to the sine of its complement. C 7. Sin (TT - 9) = sin 9, cos (TT - 9) = - cos Q. Or the sine of an angle is equal to the sine of its supplement, and the cosine of an angle is equal to the cosine of its supplement, with its algebraical sign changed....
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The elements of plane trigonometry

John Charles Snowball - 1837 - 322 páginas
...determine B from (ii), С and с are known from (i) and (iii), and the triangle is determined. Now the sine of an angle is equal to the sine of its supplement, and therefore there are two angles which satisfy (ii), the one greater and the other less than 90°....
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Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

Nathan Scholfield - 1845 - 894 páginas
...^ = — that is, sin. d=sin. (180° — 0) an important proposition which enunciated in words, is, the sine of an angle is equal to the sine of its supplement. Again, cs_cs; CA~CA cos. 6=— cos. (180°— 0), 42 If, as in the annexed figure, we draw CP', making...
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Higher Geometry and Trigonometry: Being the Third Part of a Series on ...

Nathan Scholfield - 1845 - 506 páginas
...Therefore, -=^that is, sin. «=sin. (180° — «) an important proposition which enunciated in words, is, the sine of an angle is equal to the sine of its supplement. Again, cs=cs; CA~CA cos. t= — cos. (180° — d), 42 If, as in the annexed figure, we draw CP', making...
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