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 v
... obtaining a thorough comprehension of the principal topics of research , and by seeing a little of their utility ... obtained by analytical processes ; and their utility is shown in the logarithmic and trigonometric solution of a great ...
... obtaining a thorough comprehension of the principal topics of research , and by seeing a little of their utility ... obtained by analytical processes ; and their utility is shown in the logarithmic and trigonometric solution of a great ...
Página 23
... obtained , with the analogous results in the preceding operations , will ma- nifestly establish the correctness of both . The sines and cosines of the degrees and minutes up to 30 ° , being determined by these or other processes ( some ...
... obtained , with the analogous results in the preceding operations , will ma- nifestly establish the correctness of both . The sines and cosines of the degrees and minutes up to 30 ° , being determined by these or other processes ( some ...
Página 25
... obtained by means of chap . ii . prop . 14 , where it is demonstrated that the sides of plane triangles are respectively proportional to the sines of their opposite angles . C ... In practice if a side be required , begin Solution of ...
... obtained by means of chap . ii . prop . 14 , where it is demonstrated that the sides of plane triangles are respectively proportional to the sines of their opposite angles . C ... In practice if a side be required , begin Solution of ...
Página 26
... obtain the logarithm of the fourth term . Or , adding the arith- metical complement of the logarithm of the first term to the logarithms of the other two , to obtain that of the fourth . Note 3. It is an excellent plan to accustom the ...
... obtain the logarithm of the fourth term . Or , adding the arith- metical complement of the logarithm of the first term to the logarithms of the other two , to obtain that of the fourth . Note 3. It is an excellent plan to accustom the ...
Página 35
... obtained , conformably with this rule , easier without logarithms than with them . For , Let ABC be a right angled ... obtain these expressions . B perp . 1 . tan angle at base . base base 2 . tan angle at vertex . perp . hyp . 3 . sec ...
... obtained , conformably with this rule , easier without logarithms than with them . For , Let ABC be a right angled ... obtain these expressions . B perp . 1 . tan angle at base . base base 2 . tan angle at vertex . perp . hyp . 3 . sec ...
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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