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 25
Side 13
... co - tan- gent is known . 4. EF : EC ( CD ) :: CD : CH ; whence the co - fecant is known . Hence it appears , 1. That the tangent is a fourth proportional to the co - fine , the fine ... co - tang . Q :: of Sines , Tangents and Secants . 13.
... co - tan- gent is known . 4. EF : EC ( CD ) :: CD : CH ; whence the co - fecant is known . Hence it appears , 1. That the tangent is a fourth proportional to the co - fine , the fine ... co - tang . Q :: of Sines , Tangents and Secants . 13.
Side 14
With the Construction and Application of Logarithms Thomas Simpson. tang . P : co - tang . Q :: tang . Q : tang . P ; or as co - tang , P : tang . Q : co - tang . Q : tang . P ( by IO . 4. ) PROP . II . If there be three equidifferent ...
With the Construction and Application of Logarithms Thomas Simpson. tang . P : co - tang . Q :: tang . Q : tang . P ; or as co - tang , P : tang . Q : co - tang . Q : tang . P ( by IO . 4. ) PROP . II . If there be three equidifferent ...
Side 26
... co - fine of EOF ( or BAC ) :: tang . AC tang , AB . 2. E. D. COROLLAR Y I. Hence it follows , that the fines of the angles of any oblique spherical triangles ADC are to one another , directly , as the fines of the oppofite fides , For ...
... co - fine of EOF ( or BAC ) :: tang . AC tang , AB . 2. E. D. COROLLAR Y I. Hence it follows , that the fines of the angles of any oblique spherical triangles ADC are to one another , directly , as the fines of the oppofite fides , For ...
Side 27
... co - fines of the adjacent angles . For radius : co - fine ACB . :: tan . AC : tan , BC2 finceradius : co - fine DCB ... tang . DC : tang . AC . THEOREM II . In any right - angled fpherical triangle ( ABC ) it . will be , as radius is to ...
... co - fines of the adjacent angles . For radius : co - fine ACB . :: tan . AC : tan , BC2 finceradius : co - fine DCB ... tang . DC : tang . AC . THEOREM II . In any right - angled fpherical triangle ( ABC ) it . will be , as radius is to ...
Side 29
... co - fine BC co - fine A. Q , E. D. COROLLAR Y. Hence , in right - angled spherical triangles ABC , CBD , having the ... tang . CF : tang . FE ( by the latter part of Theor . 1. ) that is , radius : fine AB : co - tang . BC : co - tang ...
... co - fine BC co - fine A. Q , E. D. COROLLAR Y. Hence , in right - angled spherical triangles ABC , CBD , having the ... tang . CF : tang . FE ( by the latter part of Theor . 1. ) that is , radius : fine AB : co - tang . BC : co - tang ...
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