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 7
Side 25
... hypothenuse 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 ...
... hypothenuse 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 ...
Side 26
... 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 of the perpendicular , and EF the fine of the angle at 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 of the perpendicular , and EF the fine of the angle at the ...
Side 27
... hypothenuses are to each other , inversely , as the co - fines of the adjacent angles . - For radius : co - fine ACB :: tan . AC : tan . { BC ? fince radius : co - fine DCB :: tan . DC : tan . BCS by the latter part of the theorem ; we ...
... hypothenuses are to each other , inversely , as the co - fines of the adjacent angles . - For radius : co - fine ACB :: tan . AC : tan . { BC ? fince radius : co - fine DCB :: tan . DC : tan . BCS by the latter part of the theorem ; we ...
Side 28
... hypothenuses will be to each other , directly , as the co - fines of their bafes . For rad : co - fin . BC :: co - fin . AB : co - fineAC , fincerad : co - fin . BC :: co - fin . DB : co - fine DC , therefore , by equality and ...
... hypothenuses will be to each other , directly , as the co - fines of their bafes . For rad : co - fin . BC :: co - fin . AB : co - fineAC , fincerad : co - fin . BC :: co - fin . DB : co - fine DC , therefore , by equality and ...
Side 72
... . The angle at the base and the fum , or difference , of the hypothenuse and bafe , of a right - angled fphe rical triangle being given , to determine the triangle , First , 1 B First , it will be , rad . 72 Properties of.
... . The angle at the base and the fum , or difference , of the hypothenuse and bafe , of a right - angled fphe rical triangle being given , to determine the triangle , First , 1 B First , it will be , rad . 72 Properties of.
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