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 10
Side 4
... s Note , The degrees , minutes , feconds , & c . con- tained in any arck , or angle , are wrote in this manner , 50 ... co - fine of an arch is the 4 Plane Trigonometry .
... s Note , The degrees , minutes , feconds , & c . con- tained in any arck , or angle , are wrote in this manner , 50 ... co - fine of an arch is the 4 Plane Trigonometry .
Side 27
... s finceradius : fine D ; : fine DC : fine BC former part of the theorem ; we fhall have , fine Ax fine AC ( radius ... co - fines of the adjacent angles . - For radius : co - fine ACB :: tan . AC : tan . { BC ? fince radius : co - fine ...
... s finceradius : fine D ; : fine DC : fine BC former part of the theorem ; we fhall have , fine Ax fine AC ( radius ... co - fines of the adjacent angles . - For radius : co - fine ACB :: tan . AC : tan . { BC ? fince radius : co - fine ...
Side 31
... co- fines : moreover , let the arch BC be equally divided in D , fo that CD ... S , and EF and OK per- pendicular to AO , and let the latter meet EC ( pro ... co - tang . of AD ) : DL ( the tang . DC ) . Q , E. D. THEOREM VI . In any ...
... co- fines : moreover , let the arch BC be equally divided in D , fo that CD ... S , and EF and OK per- pendicular to AO , and let the latter meet EC ( pro ... co - tang . of AD ) : DL ( the tang . DC ) . Q , E. D. THEOREM VI . In any ...
Side 55
... S and s ; their co - fines by C and c ; and radius by R ; then will the fine of their fum = Sc + sc R SC - SC the fine of their difference = the co - fine of their fum = R Cc - Ss the co - fine of their difference = R Cc + Ss : R E 4 ...
... S and s ; their co - fines by C and c ; and radius by R ; then will the fine of their fum = Sc + sc R SC - SC the fine of their difference = the co - fine of their fum = R Cc - Ss the co - fine of their difference = R Cc + Ss : R E 4 ...
Side 60
... co - tang . A tang . ABC . Q. E. D. ' PROP . VI . In any plane triangle ABC , it will be , as the base plus the ... S. ) D + DBA tangent 2 In the leffer fide CA , produced , take CD = CB , fo that AD may be the difference of the two ...
... co - tang . A tang . ABC . Q. E. D. ' PROP . VI . In any plane triangle ABC , it will be , as the base plus the ... S. ) D + DBA tangent 2 In the leffer fide CA , produced , take CD = CB , fo that AD may be the difference of the two ...
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