Elements of Plane and Spherical Trigonometry: With Their Applications to Heights and Distances Projections of the Sphere, Dialling, Astronomy, the Solution of Equations, and Geodesic OperationsBaldwin, Cradock, and Joy, 1816 - 244 páginas |
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Página viii
... expression for any of the inequalities of the planetary motions , or those of their satellites : and have thus proved that the system is stable , all its irregularities being confined within certain limits ; just as all the ...
... expression for any of the inequalities of the planetary motions , or those of their satellites : and have thus proved that the system is stable , all its irregularities being confined within certain limits ; just as all the ...
Página 24
... expression sec = COS Other methods for all the trigonometrical lines are deduced from the expressions for the sines , tangents , & c . of multiple arcs ; but this is not the place to explain them , even if it were requisite to introduce ...
... expression sec = COS Other methods for all the trigonometrical lines are deduced from the expressions for the sines , tangents , & c . of multiple arcs ; but this is not the place to explain them , even if it were requisite to introduce ...
Página 35
... expressions . B perp . 1 . tan angle at base . base base 2 . tan angle at vertex . perp . hyp . 3 . sec angle at base . base hyp . 4 . = sec angle at vertex . perp . perp . 5 . sin angle at base . hyp . base 6 . sin angle at vertex ...
... expressions . B perp . 1 . tan angle at base . base base 2 . tan angle at vertex . perp . hyp . 3 . sec angle at base . base hyp . 4 . = sec angle at vertex . perp . perp . 5 . sin angle at base . hyp . base 6 . sin angle at vertex ...
Página 42
... expression , COS A R tan A R sin A R for cos A , rally , we must so distribute the several powers of R , as to make all the terms homogeneous , as to the number of lines multiplied : this is effected by multiplying each term by such a ...
... expression , COS A R tan A R sin A R for cos A , rally , we must so distribute the several powers of R , as to make all the terms homogeneous , as to the number of lines multiplied : this is effected by multiplying each term by such a ...
Página 43
... expressions for the several mul- tiples of the sines , we introduce for the cosines their values in terms of the ... expressions will be obtained , in which each quantity is expressed in terms of its own kind . sin A = S sin 2A = 2s ...
... expressions for the several mul- tiples of the sines , we introduce for the cosines their values in terms of the ... expressions will be obtained , in which each quantity is expressed in terms of its own kind . sin A = S sin 2A = 2s ...
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Términos y frases comunes
altitude angled spherical triangle azimuth base becomes bisect centre chap chord circle circle of latitude computation consequently cos² cosec cosine cotangent declination deduced determine dial diameter difference distance draw earth ecliptic equa equal equation Example find the rest formulæ given side h cos h half Hence horizon hour angle hypoth hypothenuse intersecting latitude logarithmic longitude measured meridian obliq oblique opposite angle parallel perpendicular plane angles plane triangle pole problem prop quadrant radius right angled spherical right angled triangle right ascension right line sec² secant sin A sin sin² sine solid angle sphere spherical excess spherical trigonometry star substyle sun's supposed surface tan² tangent theorem three angles three sides tion triangle ABC values versed sine versin vertical angle whence zenith