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 21
Side 8
... tangent of half the fum of the two oppofite angles , to the tan- gent of half their difference . E A D C 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 cir ...
... tangent of half the fum of the two oppofite angles , to the tan- gent of half their difference . E A D C 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 cir ...
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 , though ...
... 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 , though ...
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 laft ) it will be , as ra ... half the fum 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 laft ) it will be , as ra ... half the fum of thofe arches to the tangent of half their difference : and , as the fum of the co - fines is to ...
Side 31
... half the dif- ference , and AD O L D B H F GA half the fum , of AB and AC : let the radii OD and OC be drawn , and ... tangent of AD ) : DL ( the tangent of DC , by 20. 4. ) And 2OF ( OG + OH ) : 2HF ( OG - OH ) : : EI : EC :: DK ( the ...
... half the dif- ference , and AD O L D B H F GA half the fum , of AB and AC : let the radii OD and OC be drawn , and ... tangent of AD ) : DL ( the tangent of DC , by 20. 4. ) And 2OF ( OG + OH ) : 2HF ( OG - OH ) : : EI : EC :: DK ( the ...
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