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 55
... tion to Taylor's Logarithms , the following rules in re- ference to the sines and tangents of very small arcs . 1. To find the sine . To the logarithm of the arc re- duced into seconds , with the decimal annexed , add the constant ...
... tion to Taylor's Logarithms , the following rules in re- ference to the sines and tangents of very small arcs . 1. To find the sine . To the logarithm of the arc re- duced into seconds , with the decimal annexed , add the constant ...
Página 58
... tion , to arrange them in separate tables for use . We shall terminate the present chapter by subjoining three examples . Example I. Given the three sides of a plane triangle 40 , 34 , and 25 , respectively , to find the largest angle ...
... tion , to arrange them in separate tables for use . We shall terminate the present chapter by subjoining three examples . Example I. Given the three sides of a plane triangle 40 , 34 , and 25 , respectively , to find the largest angle ...
Página 59
... tion to this problem . 1st . Geometrically . C Analysis . Suppose the triangle ABC to be that whose sides CB , BA , AC , are respectively as three consecutive terms in the increasing series of integer numbers , and the greater angle ABC ...
... tion to this problem . 1st . Geometrically . C Analysis . Suppose the triangle ABC to be that whose sides CB , BA , AC , are respectively as three consecutive terms in the increasing series of integer numbers , and the greater angle ABC ...
Página 73
... tion passing through the centre , AB the height of the Pike of Teneriffe , and AT the tangential line drawn to the visible horizon : let , also , вE , a tangent to the earth's surface at B , meet the other tangent AT in E. Then , in the ...
... tion passing through the centre , AB the height of the Pike of Teneriffe , and AT the tangential line drawn to the visible horizon : let , also , вE , a tangent to the earth's surface at B , meet the other tangent AT in E. Then , in the ...
Página 79
... tion is out of the triangle made by the objects , but in one of its sides produced . 2. When the station is in one of the sides of the triangle . 3. When the three objects lie in a right line . 4. When the station is not within the ...
... tion is out of the triangle made by the objects , but in one of its sides produced . 2. When the station is in one of the sides of the triangle . 3. When the three objects lie in a right line . 4. When the station is not within the ...
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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