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 13
Side 29
... angles at the bafe will be to each other , directly , as the fines of the vertical angles : For radius : fine BCA ... angle at the bafe to the tangent of the perpendicular . For , fuppofing CEF as before , It will be , as radius : co ...
... angles at the bafe will be to each other , directly , as the fines of the vertical angles : For radius : fine BCA ... angle at the bafe to the tangent of the perpendicular . For , fuppofing CEF as before , It will be , as radius : co ...
Side 33
... angles at the bafe , is to the tangent of half their difference , fo is the tangent of half the vertical angle , to the tangent of the angle which the perpendicular CD makes with the line CF bifecting the vertical angle . ( See the ...
... angles at the bafe , is to the tangent of half their difference , fo is the tangent of half the vertical angle , to the tangent of the angle which the perpendicular CD makes with the line CF bifecting the vertical angle . ( See the ...
Side 37
... angle B Two angles A , Either of the ACB and the other fides , 7 fide AC be- fuppofe BC twixt them . Two angles A ... vertical angle : whence ACD is also known ; then ( by Theor . 5. ) tang . A co - tang . ACD :: rad .: co - fine AC ...
... angle B Two angles A , Either of the ACB and the other fides , 7 fide AC be- fuppofe BC twixt them . Two angles A ... vertical angle : whence ACD is also known ; then ( by Theor . 5. ) tang . A co - tang . ACD :: rad .: co - fine AC ...
Side 61
... vertical angle ACB = = D. D + CBD ( by 9. 1. ) Moreover , feeing DCB is the fum of the angles A and CBA , at the bafe ( by 9. 1. ) it is evident that BCF ( or DCF ) is equal to half that fum ; and , therefore , as ECF is the excefs of ...
... vertical angle ACB = = D. D + CBD ( by 9. 1. ) Moreover , feeing DCB is the fum of the angles A and CBA , at the bafe ( by 9. 1. ) it is evident that BCF ( or DCF ) is equal to half that fum ; and , therefore , as ECF is the excefs of ...
Side 62
... to the difference of the fegment of the bafe ( Jee the preceding figure ) , fo is the co - fine of half the vertical angle , to the fine of half the difference of the angles at the bafe . For , For , AC + BC : AQ — BQ :: 62 Properties of.
... to the difference of the fegment of the bafe ( Jee the preceding figure ) , fo is the co - fine of half the vertical angle , to the fine of half the difference of the angles at the bafe . For , For , AC + BC : AQ — BQ :: 62 Properties of.
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