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
... surface , know that several of the most striking results of physical astronomy turn upon some obvious trigono- metrical truth . Thus , to select only one class of in- stances , our countryman Simpson , in his researches into that part ...
... surface , know that several of the most striking results of physical astronomy turn upon some obvious trigono- metrical truth . Thus , to select only one class of in- stances , our countryman Simpson , in his researches into that part ...
Página 1
... surfaces , the determination of the magnitudes and relations of which is facilitated by re- B ference to the surface of a sphere . Hence mathemati-
... surfaces , the determination of the magnitudes and relations of which is facilitated by re- B ference to the surface of a sphere . Hence mathemati-
Página 2
... surface of a sphere . Hence mathemati- cians have been led to attempt the solution of two general problems . I. Knowing three of the six things , whether angles or sides , which enter the constitution of a rectilinear tri- angle , to ...
... surface of a sphere . Hence mathemati- cians have been led to attempt the solution of two general problems . I. Knowing three of the six things , whether angles or sides , which enter the constitution of a rectilinear tri- angle , to ...
Página 6
... surfaces , ¿ CA × arc AB is less than ¿ CA × tan AT ; whence , dividing by CA , there results arc AB less than tangent AT . In a similar way it may be seen that chord AB , is less than arc AB , and sine BD , less than chord AB . The ...
... surfaces , ¿ CA × arc AB is less than ¿ CA × tan AT ; whence , dividing by CA , there results arc AB less than tangent AT . In a similar way it may be seen that chord AB , is less than arc AB , and sine BD , less than chord AB . The ...
Página 73
... surface at B , meet the other tangent AT in E. Then , in the triangle ABE , right an- gled at B , and having the angle BAE G = 87 ° 46 ′ 33 " , it is , as rad : AB :: tan A : BE , and :: sec A : AE . But it is evident , from Euc . iii ...
... surface at B , meet the other tangent AT in E. Then , in the triangle ABE , right an- gled at B , and having the angle BAE G = 87 ° 46 ′ 33 " , it is , as rad : AB :: tan A : BE , and :: sec A : AE . But it is evident , from Euc . iii ...
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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