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 21
Side 8
... tangent of balf the fum of the two oppofite angles , to the tan- gent of half their difference . B E A F D b For , let ABC be the triangle , and AB and AC the two propofed fides ; and from the cen- ter A , with the ra dius AB , let a ...
... tangent of balf the fum of the two oppofite angles , to the tan- gent of half their difference . B E A F D b For , let ABC be the triangle , and AB and AC the two propofed fides ; and from the cen- ter A , with the ra dius AB , let a ...
Side 9
... tangent of an angle ( AbC , fee Theor . 2. ) And as radius to the tangent of the excess of this angle above 45 ° , fo is the tangent of half the fum of the required angles to the tangent of half their difference * . This Theorem ...
... tangent of an angle ( AbC , fee Theor . 2. ) And as radius to the tangent of the excess of this angle above 45 ° , fo is the tangent of half the fum of the required angles to the tangent of half their difference * . This Theorem ...
Side 13
... tangent and co - tangent is equal to the fquare of the radius ( by 10. 4. ) : whence it likewife follows , that the tangent of half a right - angle is equal to the ra- dius ; and that the co - tangents of any two dif- ferent arches ...
... tangent and co - tangent is equal to the fquare of the radius ( by 10. 4. ) : whence it likewife follows , that the tangent of half a right - angle is equal to the ra- dius ; and that the co - tangents of any two dif- ferent arches ...
Side 30
... tangent of either angle to the co - tangent of the other angle . For ( CEF being as in the last ) it will be , as ra ... half the Sum of thofe arches to the tangent of half their difference : and , as the fum of the co - fines is to ...
... tangent of either angle to the co - tangent of the other angle . For ( CEF being as in the last ) it will be , as ra ... half the Sum of thofe arches to the tangent of half their difference : and , as the fum of the co - fines is to ...
Side 31
... tangent of DC , by 20. 4. ) And 2OF ( OG + OH ) : 2HF ( OGOH ) :: EI : EC :: DK ( the co - tang . of AD ) : DL ( the tang . DC ) . 2. E. D. THEOREM VI . In any fpherical triangle ABC it will be , as the co - tangent of half the fum of ...
... tangent of DC , by 20. 4. ) And 2OF ( OG + OH ) : 2HF ( OGOH ) :: EI : EC :: DK ( the co - tang . of AD ) : DL ( the tang . DC ) . 2. E. D. THEOREM VI . In any fpherical triangle ABC it will be , as the co - tangent of half the fum of ...
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