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Books Books 1 - 10 of 19 on ... sun in the meridian. The arches being supposed semi-circular, it is required....
" ... sun in the meridian. The arches being supposed semi-circular, it is required to find the curve terminating that part of the surface of the water which is illuminated by the sun's rays passing through any arch. 7- It is required to express the cosine... "
A treatise on plane and spherical trigonometry - Page 130
by Robert Woodhouse - 1822
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New Cambridge Guide; Or, A Description of the University, Town, and County ...

1804 - 130 pages
...illuminated by the sun's rays passing through any arch. 7- It is required to express the cosine of an angle of a spherical triangle in terms of the sines and cosines of the sides. 8. If a body revolves in any curve whose equation is ap—yn, y being the. distance from the centre...
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The Edinburgh Review: Or Critical Journal, Volume 17

Sydney Smith, Lord Francis Jeffrey Jeffrey, Macvey Napier, Henry Reeve, William Empson, Arthur Ralph Douglas Elliot (Hon.), Sir George Cornewall Lewis, Harold Cox - 1810
...the solution of which he derives all the rules, are these : To express the cosine and the sine of an angle of a spherical triangle in terms of the sines and cosines of the sides. There is a double advantage in this manner of proceeding -, the whole process is rendered analytical,...
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A Treatise of Plane and Spherical Trigonometry: In Theory and Practice ...

Francis Nichols - Plane trigonometry - 1811 - 128 pages
...: : ' . sine a sine c A similar formula may be readily obtained for the cosines of any of the sides of a spherical triangle in terms of the sines and cosines of the three angles. For since any spherical triangle, whose three angles are A, B, C, and three opposite...
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Cambridge Problems: Being a Collection of the Printed Questions Proposed to ...

Mathematics - 1821 - 425 pages
...illuminated by the sun's rays passing through any arch. . 7. It is required to express the cosine of an angle of a spherical triangle in terms of the sines and cosines of the sides. • .- • :v, 8. If a body revolves in any curve whose equation is ap = yn, y being the distance from...
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Higher Geometry and Trigonometry: Being the Third Part of a Series on ...

Nathan Scholfield - Geometry - 1845 - 232 pages
...the sine of the sum of two angles is to plane trigonometry. CHAPTER I. 1. To express the cosine of an angle of a spherical triangle in terms of the sines and cosines of the sides. Let ABC be a spherical triangle, O the centre of the sphere. Let the angles of the triangles be denoted...
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Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

Nathan Scholfield - 1845
...c sin. a sin. c cos. e — cos. a cos. ft sin. a sin. ft cos. a 2. To express the cosine of a side of a spherical triangle, in terms of the sines and cosines of the angles. Let A, B, C, a, ft, c, be the angles and sides of a spherical triangle ; A', B', C', a', ft',...
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Higher Geometry and Trigonometry: Being the Third Part of a Series on ...

Nathan Scholfield - Geometry - 1845 - 232 pages
...a)sin.(s — &) tan.— =V/ ; : — -. r — 2 v sin. s sin. (s — c) 4. To express the sine of a side of a spherical triangle in terms of the sines and cosines of the angles. By (/3) we have, cos. a= cos. A+cos.Bcos. C sin. B sin. C cos. A+cos. B cos. C+sin. B sin....
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A Series on Elementary and Higher Geometry, Trigonometry, and Mensuration ...

Nathan Scholfield - Conic sections - 1845
.... — : sin. a sin. c cos. c — cos. a cos. 6 cos. C= sn. a sn. 2. Tb express the cosine of a side of a spherical triangle, in terms of the sines and cosines of the angles. Let A, B, C, a, b, c, be the angles and sides of a spherical triangle ; A', B', C', a', b',...
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A treatise on plane and spherical trigonometry

Thomas Grainger Hall - Trigonometry - 1848 - 168 pages
...INVESTIGATION OF FORMULAS FOR THE COSINE AND SINE OF THE ANGLES AND SIDES OF A SPHERICAL TRIANGLE. 17. To find the cosine of the angle of a spherical triangle in terms of the cosines and sines of the sides. Let 0 be the intersection of the three planes A OB, А ОС, БОС....
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The elements of spherical trigonometry

James Hann - 1849
...called an isosceles triangle, &c., as in Plane Trigonometry. 10. To determine the sines and cosines of a spherical triangle in terms of the sines and cosines of the sides. Let O be the eentre of the sphere on which the triangle ABС is situated, draw the radii OA, OB, OС; from...
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