Trigonometry, Plane and Spherical;: With the Construction and Application of LogarithmsJ. Nourse, bookseller in ordinary to his Majesty., 1765 - 79 sider |
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Resultat 1-5 av 13
Side 29
... angles at the base will be to each other , directly , as the fines of the vertical angles : For S radius : fine BCA ... angle at the bafe to the tangent of the perpendicular . For , fuppofing CEF as before , it will be , as radius : co ...
... angles at the base will be to each other , directly , as the fines of the vertical angles : For S radius : fine BCA ... angle at the bafe to the tangent of the perpendicular . For , fuppofing CEF as before , it will be , as radius : co ...
Side 33
... angles at the bafe , is to the tangent of half their difference , fo is the tangent of half the vertical angle , to the tangent of the angle which the perpendicular CD makes with the line CF bifecting the vertical angle . ( See the ...
... angles at the bafe , is to the tangent of half their difference , fo is the tangent of half the vertical angle , to the tangent of the angle which the perpendicular CD makes with the line CF bifecting the vertical angle . ( See the ...
Side 37
... angle B Either of the other fides , fuppofe BC The fide BC oppofite the other Solution . As rad . co - fine AC ... vertical angle ; whence ACD is also known ; then ( by Theor . 5. ) tang . A ; co - tang . ACD rad . ; co - fine AC . Note ...
... angle B Either of the other fides , fuppofe BC The fide BC oppofite the other Solution . As rad . co - fine AC ... vertical angle ; whence ACD is also known ; then ( by Theor . 5. ) tang . A ; co - tang . ACD rad . ; co - fine AC . Note ...
Side 61
... vertical angle ACB = = D. D + CBD ( by 9. 1. ) 2 the fum of the ( by 9. 1. ) it is Moreover , feeing DCB is angles A and CBA , at the bafe evident that BCF ( or DCF ) is equal to half that fum ; and , therefore , as ECF is the excefs of ...
... vertical angle ACB = = D. D + CBD ( by 9. 1. ) 2 the fum of the ( by 9. 1. ) it is Moreover , feeing DCB is angles A and CBA , at the bafe evident that BCF ( or DCF ) is equal to half that fum ; and , therefore , as ECF is the excefs of ...
Side 62
... angles CBA and A at the bafe ( by Cor . 2. to 10. 1. ) ; therefore ABD , being the excess of the greater CBA above the ... vertical angle , to the fine of half the difference of the angles at the bafe . 3 For , For , AC + BC : AQ - BQ ...
... angles CBA and A at the bafe ( by Cor . 2. to 10. 1. ) ; therefore ABD , being the excess of the greater CBA above the ... vertical angle , to the fine of half the difference of the angles at the bafe . 3 For , For , AC + BC : AQ - BQ ...
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