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 Llibres Llibres 1 - 10 de 30 sobre That is, the sines of the sides of a spherical triangle are proportional to the sines.... That is, the sines of the sides of a spherical triangle are proportional to the sines of the opposite angles. Surveying and Navigation, with a Preliminary Treatise on Trigonometry and ... - Pàgina 124
per Aaron Schuyler - 1864 - 490 pàgines
Visualització completa - Sobre aquest llibre ## A Treatise on Plane and Spherical Trigonometry

Robert Woodhouse - 1819 - 264 pàgines
...the manner of deducing them, with the corresponding ones in Plane Trigonometry. íing a proposition) The sines of the sides of a spherical triangle are proportional to the sines of the opposite angles. Right-angled spherical triangles may be considered as particular cases of oblique....
Visualització completa - Sobre aquest llibre ## Elements of Surveying: With the Necessary Tables

Charles Davies - 1830 - 306 pàgines
...into the calculations of the sides and angles of plane triangles. THEOREM. 43. The sides of a plane triangle are proportional to the sines of their opposite angles. Let ABC (PI. I. Fig. 2) be a triangle ; then, CB : CA : : sin. A : sin. B. For, with A as a centre, and AP,...
Visualització completa - Sobre aquest llibre ## The Elements of Plane and Spherical Trigonometry: And Its Application to ...

Richard Abbatt - 1841 - 191 pàgines
...triangles, from any three known parts to determine the rest. SECTION VI. SPHERICAL TRIGONOMETRY. (85.) The sines of the sides of a spherical triangle are proportional to the sines of the opposite angles. Let ABC (fig. 22.) be a spherical triangle, 0 the centre of the sphere ; join...
Visualització completa - Sobre aquest llibre ## Elements of Plane and Spherical Trigonometry: With the First Principles of ...

James Thomson - 1844 - 126 pàgines
...••••••'••••••••• \ ) Hence, sin a : sin A : : sin 6 : sin B : : sin c : sin C ; that is, the sines of the sides of a spherical triangle are proportional to the sines of the opposite angles. Hence, also, by multiplying extremes and means, we get sin A sin 6 = sin B sin...
Visualització completa - Sobre aquest llibre ## Lunar and Time Tables: Adapted to New, Short, and Accurate Methods for ...

...are deduced. Rule 3, page 42, is evidently deduced from the theorem in Spherical Trigonometry, that the Sines of the sides of a spherical triangle are proportional to the Sines of the opposite angles. From the explanation given at page 42, it appears that the limb of the Sun or...
Visualització completa - Sobre aquest llibre ## Lunar and Time Tables, adapted to new, short and accurate methods for ...

James GORDON (Teacher of Navigation.) - 1849 - 80 pàgines
...are deduced. Rule 3, page 42, is evidently deduced from the theorem in Spherical Trigonometry, that the Sines of the sides of a spherical triangle are proportional to the Sines of the opposite angles. From the explanation given at page 42, it appears that the limb of the Sun or...
Visualització completa - Sobre aquest llibre ## A TREATISE ON TRIGONOMETRY

GEORGE BIDDELL AIRY - 1855
...complemental triangle is also a right-angled triangle. Fig. 18. SECTION VI. SPHERICAL TRIGONOMETRY. (102.) THE sines of the sides of a spherical triangle are proportional to the sines of the opposite angles. Let ABC, (fig. 19), be any spherical triangle : from С draw С D perpendicular...
Visualització completa - Sobre aquest llibre ## Dublin examination papers

Dublin city, univ - 1858
...the intersection of tangents to a conic section which cut one another at right angles. 3. Prove that the sines of the sides of a spherical triangle are proportional to the sines of the opposite angles. 3. Find the roots of the equation— x T — X* + x 3 - 1=0. 4. Find the locus...
Visualització completa - Sobre aquest llibre ## A Treatise on the Analytic Geometry of Three Dimensions

George Salmon - 1862
...= . . . sin o> ' and P : P : : sin co : sin co', an equation analogous to that which expresses that the sines of the sides of a spherical triangle are proportional to the sines of the opposite angles; since P and P in the rectification of arcs on the ellipsoid answer to sinp, sin//...
Visualització completa - Sobre aquest llibre ## A Treatise on the Analytic Geometry of Three Dimensions

George Salmon - 1862 - 465 pàgines
...-^—, . sin a> ' and P : P : : sin a> : sin w', an equation analogous to that which expresses that the sines of the sides of a spherical triangle are proportional to the sines of the opposite angles; since P and P in the rectification of arcs on the ellipsoid answer to sin/a, sinp'...
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