Trigonometry, Plane and Spherical;: With the Construction and Application of LogarithmsJ. Nourse, bookseller in ordinary to his Majesty., 1765 - 79 sider |
Inni boken
Resultat 1-5 av 10
Side 27
... S radius : fine A :: fine AC : fine BC 2 fince radius : fine D . :: fine DC ; fine BC by the former part of the ... co - fines of the adjacent angles . For radius : co - fine ACB . :: tan . AC : tan , BC2 finceradius : co - fine DCB ...
... S radius : fine A :: fine AC : fine BC 2 fince radius : fine D . :: fine DC ; fine BC by the former part of the ... co - fines of the adjacent angles . For radius : co - fine ACB . :: tan . AC : tan , BC2 finceradius : co - fine DCB ...
Side 29
... co - fine BC co - fine A. Q , E. D. COROLLAR Y. Hence , in right - angled spherical triangles ABC , CBD , having the ... S radius : fine BCA :: co - fine CB : co - fine A , finceradius : fine BCD :: co - fine CB : co - fine D , therefore ...
... co - fine BC co - fine A. Q , E. D. COROLLAR Y. Hence , in right - angled spherical triangles ABC , CBD , having the ... S radius : fine BCA :: co - fine CB : co - fine A , finceradius : fine BCD :: co - fine CB : co - fine D , therefore ...
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 ) . 2. 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 ) . 2. E. D. THEOREM VI . In any ...
Side 55
... S and s ; their co - fines by C and c ; and radius by R ; then will Sc + sc the fine of their fum = R Sc- SC the fine of their difference - R Cc Ss the co - fine of their fum = R Cc + Ss the co - fine of their difference = R E 4 COROL ...
... S and s ; their co - fines by C and c ; and radius by R ; then will Sc + sc the fine of their fum = R Sc- SC the fine of their difference - R Cc Ss the co - fine of their fum = R Cc + Ss the co - fine of their difference = R E 4 COROL ...
Side 73
... co - f . A ( :: T. AC + T. AB : T. ACT , AB ) : S. AC + AB : S. AC AB ( by Prop . 4. ) . Hence it appears , that , As the co - tan- gent of half the given angle , is to its tangent ; fo is the fine of the fum of the hypothenuse and ...
... co - f . A ( :: T. AC + T. AB : T. ACT , AB ) : S. AC + AB : S. AC AB ( by Prop . 4. ) . Hence it appears , that , As the co - tan- gent of half the given angle , is to its tangent ; fo is the fine of the fum of the hypothenuse and ...
Andre utgaver - Vis alle
Trigonometry, Plane and Spherical: With the Construction and Application of ... Thomas Simpson Uten tilgangsbegrensning - 1748 |
Trigonometry, Plane and Spherical: With the Construction and Application of ... Thomas Simpson Uten tilgangsbegrensning - 1765 |
Trigonometry, Plane and Spherical: With the Construction and Application of ... Thomas Simpson Uten tilgangsbegrensning - 1765 |
Vanlige uttrykk og setninger
4th rem AC by Theor AC-BC AD² adjacent angles AE² alſo known arch baſe becauſe bifecting cafe chord circle co-fecant co-fine AC co-tangent of half common logarithm confequently COROL COROLLARY defcribed diameter dius E. D. PROP equal to half excefs exceſs faid fame fecant fecond feries fhall fides AC fince fines firft firſt fpherical triangle ABC fquare fubtracted fupplement fuppofed garithms gent of half given gles great-circles half the bafe half the difference half the fum half the vertical Hence hyperbolic logarithm hypothenufe interfect itſelf laft leffer leg BC likewife moreover pendicular perpendicular plane triangle ABC progreffion propofed proportion radius refpectively right-angled Spherical triangle right-line ſhall ſphere ſpherical tang tangent of half THEOREM thofe thoſe Trigonometry verfed vertical angle whence whofe