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 |
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Resultat 1-5 av 30
Side 9
... tang . : tang . 2 ABC + ACB ABC - ACB tang . : tang . 2 2 But , 2 if CAb be fuppofed a right - angle , then will AbC + AC alfo a right angle ( by Cor . 3. to 10. 1. ) and the tangent of АС + АСЬ radius . There- fore in this cafe our ...
... tang . : tang . 2 ABC + ACB ABC - ACB tang . : tang . 2 2 But , 2 if CAb be fuppofed a right - angle , then will AbC + AC alfo a right angle ( by Cor . 3. to 10. 1. ) and the tangent of АС + АСЬ radius . There- fore in this cafe our ...
Side 10
... tang . C :: BC AB ( by Theor . II . ) As AB : BC :: radius : tang . A ( by Theorem I. ) whofe complement is the angle C .. The two The hyp . Let the angles be found , 7 legs AB AC by Cafe 6. and then the and BC hyp . AC , by Cafe 4 ...
... tang . C :: BC AB ( by Theor . II . ) As AB : BC :: radius : tang . A ( by Theorem I. ) whofe complement is the angle C .. The two The hyp . Let the angles be found , 7 legs AB AC by Cafe 6. and then the and BC hyp . AC , by Cafe 4 ...
Side 11
... tang . of half the fum of the included and ABC ABC and C : tang of half their angle A diff . ( by Theor.V . ) which added to , and fubtracted from , the half fum , gives the two angles . Two fides The other Let the angles be found by 5 ...
... tang . of half the fum of the included and ABC ABC and C : tang of half their angle A diff . ( by Theor.V . ) which added to , and fubtracted from , the half fum , gives the two angles . Two fides The other Let the angles be found by 5 ...
Side 13
... tang . P x co - tang . P = = fqu . rad . tang . Qx co - tang . Q ; therefore will co- tang . L tang . P : co - tang . Q of Sines , Tangents , and Secants . 13.
... tang . P x co - tang . P = = fqu . rad . tang . Qx co - tang . Q ; therefore will co- tang . L tang . P : co - tang . Q of Sines , Tangents , and Secants . 13.
Side 14
... tang . Q : tang . Qtang . Pot as co - tang . P : tang . Q : co - tang . Q : tang . P ( by 10. 4. ) PROP . II . If there be three equidifferent arches AB , AC , AD , it will be , as radius is to the co - fine of their common difference ...
... tang . Q : tang . Qtang . Pot as co - tang . P : tang . Q : co - tang . Q : tang . P ( by 10. 4. ) PROP . II . If there be three equidifferent arches AB , AC , AD , it will be , as radius is to the co - fine of their common difference ...
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