The Elements of Plane and Spherical Trigonometry: And Its Application to Astronomy, Dialling, and Trigonometrical Surveying. With Plates. Designed for Mathematical StudentsT. Ostell and Company, 1841 - 191 sider |
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Resultat 1-5 av 20
Side 23
... logarithm of which is 10 , and consequently to increase the logarithms of the natural sines , & c . , by 10 ; since the radius having been augmented ten thousand million times , the sines , tangents , & c . , have , in consequence ...
... logarithm of which is 10 , and consequently to increase the logarithms of the natural sines , & c . , by 10 ; since the radius having been augmented ten thousand million times , the sines , tangents , & c . , have , in consequence ...
Side 24
... logarithms to obtain their numerical values would be more la- borious than the simple calculation by natural sines , & c . , and even impracticable . It was , in the compu- tation of such formulæ , that subsidiary angles ori- ginated ...
... logarithms to obtain their numerical values would be more la- borious than the simple calculation by natural sines , & c . , and even impracticable . It was , in the compu- tation of such formulæ , that subsidiary angles ori- ginated ...
Side 25
... logarithms ; and also to facilitate calculations totally unconnected with trigonometry . Their use will be best shewn by examples . Example I. Let it be required to calculate r from the equation x2 = b2 + a2 sin 20 . The latter part of ...
... logarithms ; and also to facilitate calculations totally unconnected with trigonometry . Their use will be best shewn by examples . Example I. Let it be required to calculate r from the equation x2 = b2 + a2 sin 20 . The latter part of ...
Side 28
... . 7323938 10 12.7323938 log cos 56 ° 40 ′ = 9 · 7399748 log C ............ = 2.9924190 Referring to the table of logarithms , c = 982.6955 yards . Also from equ . ( 3. ) , a = b tan A , ... log a log . b + log . tan 28 THE ELEMENTS OF.
... . 7323938 10 12.7323938 log cos 56 ° 40 ′ = 9 · 7399748 log C ............ = 2.9924190 Referring to the table of logarithms , c = 982.6955 yards . Also from equ . ( 3. ) , a = b tan A , ... log a log . b + log . tan 28 THE ELEMENTS OF.
Side 30
... logarithms , log a = { log ( c + b ) + log ( c - b ) } . log ( c + b ) or 89.9519540012 log ( c - b ) or 26. 951 4305588 • 2 ) 3 · 3845600 log a or 49. 2364 ... = 1 · 6922800 , as before . Example III . Given a 759.4 and b = 33 . 29 to ...
... logarithms , log a = { log ( c + b ) + log ( c - b ) } . log ( c + b ) or 89.9519540012 log ( c - b ) or 26. 951 4305588 • 2 ) 3 · 3845600 log a or 49. 2364 ... = 1 · 6922800 , as before . Example III . Given a 759.4 and b = 33 . 29 to ...
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The Elements of Plane and Spherical Trigonometry: And Its Application ... Richard Abbatt Ingen forhåndsvisning tilgjengelig - 2017 |
The Elements of Plane and Spherical Trigonometry: And Its Application ... Richard Abbatt Ingen forhåndsvisning tilgjengelig - 2018 |
Vanlige uttrykk og setninger
1+cos 1+tan A-sin A'+B A+B+C A+tan ab+cd angle of elevation Answer B-cos B-sin B+cos c-cos C-tan c=cos calculation called centre complement cos² cosec cosine cotangent determine diurnal motion earth ecliptic equal equation Example find the angle formulæ greater Greenwich hence horizon hour circle hypothenuse included angle known latitude less Let A B C log a log logarithms longitude measured meridian altitudes miles obliq obliquity observed perpendicular plane triangle polar triangle pole prime vertical Problem quadrant radius right ascension secant sides A B Similarly sin S-a sin² sine sine and cosine six o'clock sphere spherical angle spherical tri spherical triangle SPHERICAL TRIGONOMETRY subtraction Suppose surface tan² tangent third side three angles three sides Tobolsk triangle A B C TRIGONO trigonometrical lines vernal equinox yards
Populære avsnitt
Side 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.
Side 55 - From a window near the bottom of a house, which seemed to be on a level with the bottom of a steeple, I took the angle of elevation of the top of the steeple equal...
Side 31 - THEOREM I. The sides of a plane triangle are proportional to the sines of their opposite angles.
Side 66 - That is, the sines of the sides of a spherical triangle are proportional to the sines of the opposite angles.
Side 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.
Side 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...
Side 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°?
Side 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...
Side x - CB : CA : : sin A : sin B. For, with A as a centre, and AD equal to the less side...
Side 57 - Required the distance from A to B. Ans. 345.5 yards. Prob. 10. From the top of a light-house, the angle of depression of a ship at anchor was 3° 38', and at the bottom of the light-house the angle of depression was 2° 43'.