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 |
Inni boken
Resultat 1-5 av 21
Side 8
... and BDE are right - angles ( by 13.3 . and 7. 1. ) will be tangents of the forefaid angles FDB ( ADB ) and DBE ( DBC ) to the radius BD , 2. E. D. COROL- COROLLARY . Hence , in two triangles ABC and A Plane Trigonometry .
... and BDE are right - angles ( by 13.3 . and 7. 1. ) will be tangents of the forefaid angles FDB ( ADB ) and DBE ( DBC ) to the radius BD , 2. E. D. COROL- COROLLARY . Hence , in two triangles ABC and A Plane Trigonometry .
Side 9
... Hence , in two triangles ABC and A / C , having two fides equal , each to each , it will be ( by equa АЪС + АСЬ АБС - АСЬ 2 lity ) , as tang . : tang . 2 ABC + ACB ABC - ACB tang . : tang . 2 2 But , 2 if CAb be fuppofed a right - angle ...
... Hence , in two triangles ABC and A / C , having two fides equal , each to each , it will be ( by equa АЪС + АСЬ АБС - АСЬ 2 lity ) , as tang . : tang . 2 ABC + ACB ABC - ACB tang . : tang . 2 2 But , 2 if CAb be fuppofed a right - angle ...
Side 13
... Hence it appears , 1. That the tangent is a fourth proportional to the co - fine , the fine , and radius . 2. That the fecant is a third - proportional to the co - fine and radius . 3. That the co - tangent is a fourth proportional to ...
... Hence it appears , 1. That the tangent is a fourth proportional to the co - fine , the fine , and radius . 2. That the fecant is a third - proportional to the co - fine and radius . 3. That the co - tangent is a fourth proportional to ...
Side 15
... Hence , if the mean arch AC be fuppofed that . of 60 ° ; then OF being the co - fine of 60 ° , fine 30 ° chord of 60 ° OC , it is manifeft that DG - BE will , in ' this cafe , be barely Dm ; and confequently DG = Dm + BE . From whence ...
... Hence , if the mean arch AC be fuppofed that . of 60 ° ; then OF being the co - fine of 60 ° , fine 30 ° chord of 60 ° OC , it is manifeft that DG - BE will , in ' this cafe , be barely Dm ; and confequently DG = Dm + BE . From whence ...
Vanlige uttrykk og setninger
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