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" ZP. Now, in the triangle PSS', we have given two sides and the included angle to find the third side SS', and one of the remaining angles, say the angle PSS'. "
A Treatise on Trigonometry, Plane and Spherical: With Its Application to ... - Page 284
by Charles William Hackley - 1851 - 372 pages
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Elements of Plane and Spherical Trigonometry: With Their Applications to ...

Olinthus Gregory - Plane trigonometry - 1816 - 276 pages
...proceed to the next problem in this case. 2. To find the side c opposite to the given angle « ; that is, given two sides and the included angle, to find the third side. Find from the data a dependent angle $, such that tan Q = cos c tan b .... (12.) Substitute for cos...
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The Mathematical Questions Proposed in the Ladies' Diary: And ..., Volume 1

Thomas Leybourn - Mathematics - 1817 - 442 pages
...made by thp axts of the ecliptic and equator at the creation-. Hence in an oblique spherical triangle, we have given two sides and the included angle, to find the third side ; viz. given one side ~ 24° 1 3' 26" the distance of the pole of the equator from that of the ecliptic,...
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Elements of Analytic Trigonometry: Plane and Spherical

Ferdinand Rudolph Hassler - Trigonometry - 1826 - 208 pages
...shall always have — ¿1, according to the original supЬ position of В л С. § 56. Problem 3. Given two sides and the included angle, to find the third side. Given, a, c, and B, to find б ; in the same triangle, let rf denote the perpendicular upon a, as in...
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A Popular Exposition of the System of the Universe: With Plates ..., Volume 1

Ferdinand Rudolph Hassler - Astronomy - 1826 - 640 pages
...C we shall always have — /.I, according to the original supb position of BA C. § 56. Problem 3. Given two sides and the included angle, to find the third side. Given, a, c, and B, to find b ; in the same triangle, let d denote the perpendicular upon a, as in...
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The Complete Mathematical and General Navigation Tables: Including ..., Volume 1

Thomas Kerigan - Nautical astronomy - 1828 - 776 pages
...altitude, and the complement DESCRIPTION AND USB OF THE TABLES. of hs declination ; in which there arc given two sides and the included angle to find the third side; viz., the star's co-declination or polar distance and the complement of the latitude, with the comprehended...
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Elements of Plane and Spherical Trigonometry: With Its Applications to the ...

John Radford Young - Astronomy - 1833 - 308 pages
...by persons familiar with the rules and formulas of Trigonometry, than any indirect or approximative process ; we shall therefore explain the direct method....ZSS' we have given the three sides to find the angle S'SZ; having then the angles PSS', S'SZ, the angle ZSP becomes known, so that we have, lastly, two...
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Elements of Plane and Spherical Trigonometry: With Its Applications to the ...

John Radford Young - Astronomy - 1833 - 286 pages
...the altitudes are taken. Then, drawing the great circle arcs as in the figure, we shall have these j given quantities, viz. the codeclinations PS, PS';...ZSS' we have given the three sides to find the angle S'SZ; having then the angles PSS', S'SZ, the angle ZSP becomes known, so that we have, lastly, two...
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Elements of Trigonometry, Plane and Spherical: Adapted to the Present State ...

Charles William Hackley - Trigonometry - 1838 - 328 pages
...therefore explain the direct method. Let P be the elevated pole, z the zenith of the ship, and s,s', the two places of the sun, when the altitudes are...zss' we have given the three sides to find the angle s'sz ; having then the angles PSS', s'sz, the angle ZSP equal to their difference, becomes known, so...
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Elements of Trigonometry, Plane and Spherical: Adapted to the Present State ...

Charles William Hackley - Trigonometry - 1838 - 338 pages
...method. Let p be the elevated pole, z the zenith of the ship, and s,s', the two places of the eun, when the altitudes are taken. Then, drawing the great...zss' we have given the three sides to find the angle s'sz ; having then the angles PSS', s'sz, the angle ZSP equal to their difference, becomes known, so...
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The Complete Mathematical and General Navigation Tables: Including Every ...

Thomas Kerigan - Nautical astronomy - 1838 - 804 pages
...complement of the polar star's altitude, and the complement of its declination ; in which there are given two sides and the included angle to find the third side; viz. the star's co-declination or polar distance and the complement of the latitude, with the comprehended...
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