Trigonometry: Plane and Spherical; with the Construction and Application of Logarithms. By Thomas Simpson, F.R.S.F. Wingrave, successor to Mr. Nourse, 1799 - 79 sider |
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Side 16
... small arch ; suppose that of 15 . I 384 It is found , in p . 181. of the Elements , that the length of the chord of of the femi - periphery is expreffed by , 00818121 ( radius being unity ) ; therefore , as the chords of very finall ...
... small arch ; suppose that of 15 . I 384 It is found , in p . 181. of the Elements , that the length of the chord of of the femi - periphery is expreffed by , 00818121 ( radius being unity ) ; therefore , as the chords of very finall ...
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5th rem AB by Theor AC by Theor AC-BC AC+BC adjacent angle alfo alfo known alfo let alſo arch bafe baſe becauſe bifecting cafe chord circle co-f co-fecant co-fine AC co-tangent of half common logarithm confequently COROL COROLLARY diameter dius equal to half excefs fame fecant fecond feries fhall fides AC fince fines firft firſt fpherical triangle ABC fquare fubtracted fupplement fuppofed garithms gles great-circles half the difference half the fum half the vertical Hence hyperbolic logarithm hypothenufe interfect laft leffer leg BC likewife LUKE HANSARD moreover oppofite angle pendicular perpendicular plane triangle ABC progreffion PROP propofed proportion radius reafon refpectively right-angled spherical triangle right-line ſhall ſphere tang tangent of half THEOREM theſe thofe Trigonometry verfed vertical angle whence whofe