Trigonometry, Plane and Spherical;: With the Construction and Application of LogarithmsJ. Nourse, bookseller in ordinary to his Majesty., 1765 - 79 sider |
Inni boken
Resultat 1-4 av 4
Side 30
... last ) it will be , as ra- dius fine CE :: tang . C : tang . EF ( by Theorem 4. ) that is , radius : co - fine AC : tang . C : co- tang . A. 2 , E. D. LEMMA . As the fum of the fines of two unequal arches is to their difference , fo is ...
... last ) it will be , as ra- dius fine CE :: tang . C : tang . EF ( by Theorem 4. ) that is , radius : co - fine AC : tang . C : co- tang . A. 2 , E. D. LEMMA . As the fum of the fines of two unequal arches is to their difference , fo is ...
Side 36
... last case are both ambiguous when the first is fo . : As rad . co - fin . A :: tang . AC : tang . AD ( by Theor . 1. ) whence BD is alfo known ; then ( by Corel . to Theor . 2. ) as co - fine AD : co - fine BD co - fine AC : co - fine ...
... last case are both ambiguous when the first is fo . : As rad . co - fin . A :: tang . AC : tang . AD ( by Theor . 1. ) whence BD is alfo known ; then ( by Corel . to Theor . 2. ) as co - fine AD : co - fine BD co - fine AC : co - fine ...
Side 72
... last figure . ) - Since rad . : co - fine BC :: co - fine AB : co - fine AC ( by Theor . 2. ) , it will be ( by comp . and div . ) radius + co - fine BC : rad . — co - f . BC :; co - f . AB + co - f AÇ co - f . AB - co - f , AC , But ...
... last figure . ) - Since rad . : co - fine BC :: co - fine AB : co - fine AC ( by Theor . 2. ) , it will be ( by comp . and div . ) radius + co - fine BC : rad . — co - f . BC :; co - f . AB + co - f AÇ co - f . AB - co - f , AC , But ...
Side 73
... last Prop . it will ap- pear , that , co - tang . A tang . A :: rad . + co - f . A rad . —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 ...
... last Prop . it will ap- pear , that , co - tang . A tang . A :: rad . + co - f . A rad . —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 ...
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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