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 |
Inni boken
Resultat 1-5 av 11
Side 12
... base , somewhere between C and the perpendicular BD , and therefore the angle found by the proportion AB ( aB ) : fin . C. :: BC : fin . A ( or of CaB , ) may , it is evident , be either the acute angle A , or the obtufe one CaB ( which ...
... base , somewhere between C and the perpendicular BD , and therefore the angle found by the proportion AB ( aB ) : fin . C. :: BC : fin . A ( or of CaB , ) may , it is evident , be either the acute angle A , or the obtufe one CaB ( which ...
Side 25
... to the tangent of the base . DEMONSTRATION . D E B F H Let ADL and AEL be two great - circles of the sphere interfecting each other in the diameter AL , making K making an angle DOE , measured by the arch ED Spherical Trigonometry . 25.
... to the tangent of the base . DEMONSTRATION . D E B F H Let ADL and AEL be two great - circles of the sphere interfecting each other in the diameter AL , making K making an angle DOE , measured by the arch ED Spherical Trigonometry . 25.
Side 26
... base of the propofed triangle , BC the perpendicular , AC the hypothenuse , and BAC ( or DAE DE DOE ) the angle at the base : moreover , let CG be the fine of the hypo- thenufe , AK its tangent , AI the tangent of the base , CH the fine ...
... base of the propofed triangle , BC the perpendicular , AC the hypothenuse , and BAC ( or DAE DE DOE ) the angle at the base : moreover , let CG be the fine of the hypo- thenufe , AK its tangent , AI the tangent of the base , CH the fine ...
Side 30
... bases : : For radius fine AB :: tang . A : tang . BC fince radius : fine DB :: tang . D : tang . BC we fhall ( by reafoning as in Cor . 1. Theor . 1. ) have Sine AB : fine DB :: tang . D : tang . A. THEOREM V. In any right - angled ...
... bases : : For radius fine AB :: tang . A : tang . BC fince radius : fine DB :: tang . D : tang . BC we fhall ( by reafoning as in Cor . 1. Theor . 1. ) have Sine AB : fine DB :: tang . D : tang . A. THEOREM V. In any right - angled ...
Side 59
... base ( CD ) of a plane triangle , is to ( Cd ) the difference of its two fegments ( made by letting fall a perpendicular ) , as the fine of the angle ( CAD ) at the vertex , to the fine of the difference of the angles at the bafe . PROP ...
... base ( CD ) of a plane triangle , is to ( Cd ) the difference of its two fegments ( made by letting fall a perpendicular ) , as the fine of the angle ( CAD ) at the vertex , to the fine of the difference of the angles at the bafe . PROP ...
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