The Elements of Plane and Spherical Trigonometry: And Its Application to Astronomy, Dialling, and Trigonometrical Surveying. With Plates. Designed for Mathematical Students
T. Ostell and Company, 1841 - 191 páginas
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The Elements of Plane and Spherical Trigonometry: And Its Application ...
Sin vista previa disponible - 2017
A C B A-sin Aldebaran angle of elevation Answer B-sin B–cos calculation called centre complement cosec cosine cotangent determine diurnal motion earth ecliptic equal equation equinox Example find the angle formulae given the side greater Greenwich hence horizon hypothenuse included angle join known less Let A B C fig log cot logarithms longitude measured meridian altitudes miles obliquity observed obtain perpendicular plane triangle polar triangle pole prime vertical problem quadrant radius right ascension secant sides A B Similarly sine sine and cosine six o'clock sphere spherical angle spherical excess spherical tri spherical triangle straight lines subsidiary angle subtraction Suppose surface tables tangent theodolite third side three angles three sides Tobolsk triangle A B C TRIGONO trigonometrical lines Trigonometrical Survey vernal equinox yards
Página 58 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Página 31 - THEOREM I. The sides of a plane triangle are proportional to the sines of their opposite angles.
Página 66 - That is, the sines of the sides of a spherical triangle are proportional to the sines of the opposite angles.
Página 60 - A great circle may be drawn through any two points on the surface of a sphere, but not through more than two, taken at random.
Página 57 - Required the horizontal distance of the vessel, and the height of the promontory above the level of the sea, the light-house being 85 feet high. Ans. Distance 5296.4 feet, height 251.3 feet. Prob. 11. An observer, seeing a cloud in the west, measured its angle of elevation, and found it to be 64°. A second observer, situated half a mile due east from the first station, and on the same...
Página 54 - What is the perpendicular height of a hill ; its angle of elevation, taken at the bottom of it, being 46°, and 200 yards farther off, on a level with the bottom, the angle was 31°?
Página 57 - ... it is required from these measures to determine the magnitude of the whole earth, and the utmost distance that can be seen on its surface from the top of the mountain, supposing the form of the earth to be perfectly...
Página x - CB : CA : : sin A : sin B. For, with A as a centre, and AD equal to the less side...