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 73
... earth in the horizon , or at the far- thest visible point , be 87 ° 46 ′ 33 ′′ ; it is required from hence to determine the diameter of the earth , supposing it to be a perfect sphere . B E T Let c , in the marginal diagram , be the ...
... earth in the horizon , or at the far- thest visible point , be 87 ° 46 ′ 33 ′′ ; it is required from hence to determine the diameter of the earth , supposing it to be a perfect sphere . B E T Let c , in the marginal diagram , be the ...
Página 74
... earth . If AT be required , we have only to take radius ( 10 ) from the sum of the first two lines , the reminder 2 ... earth's ra- dius , though elegant in theory , is rendered useless in practice , by the extreme irregularity of the ...
... earth . If AT be required , we have only to take radius ( 10 ) from the sum of the first two lines , the reminder 2 ... earth's ra- dius , though elegant in theory , is rendered useless in practice , by the extreme irregularity of the ...
Página 82
... earth , or at the eye of the observer . PROBLEM . 15. To investigate properties and equations from which the solution of the several cases of spherical tri- gonometry may be deduced . In order to this let us recur to the spherical ...
... earth , or at the eye of the observer . PROBLEM . 15. To investigate properties and equations from which the solution of the several cases of spherical tri- gonometry may be deduced . In order to this let us recur to the spherical ...
Página 117
... SINCE the figure of the earth differs but little from that of a sphere , it is usual in the greater part of the inquiries and computations of astronomers , to proceed as though Astronomical Definitions . 117 Astronomical definitions.
... SINCE the figure of the earth differs but little from that of a sphere , it is usual in the greater part of the inquiries and computations of astronomers , to proceed as though Astronomical Definitions . 117 Astronomical definitions.
Página 118
... earth , the heavens appear as a very large concave sphere , every part of which is equidistant from him , it has been found expedient to imagine vari- ous lines and circles to be described upon the earth , and the planes of several of ...
... earth , the heavens appear as a very large concave sphere , every part of which is equidistant from him , it has been found expedient to imagine vari- ous lines and circles to be described upon the earth , and the planes of several of ...
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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