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 17
Side 5
... only are negative , or fall on contrary fides of the points C and A , from whence they have their origin . All which is manifeft from the definitions . B 3 THEO THEOREM I. In any right - angled plane triangle ABC Plane Trigonometry .
... only are negative , or fall on contrary fides of the points C and A , from whence they have their origin . All which is manifeft from the definitions . B 3 THEO THEOREM I. In any right - angled plane triangle ABC Plane Trigonometry .
Side 6
... THEOREM II . In any right - angled plane triangle ABC , it will be , as the bafe AB is to the perpendicular BC , fo is the radius ( of the table ) to the tangent of the angle at the bafe . For , let AE or AF be the radius of the table ...
... THEOREM II . In any right - angled plane triangle ABC , it will be , as the bafe AB is to the perpendicular BC , fo is the radius ( of the table ) to the tangent of the angle at the bafe . For , let AE or AF be the radius of the table ...
Side 7
... THEOREM III . In every plane triangle ABC , it will be , as any one fide is to the fine of its oppofite angle , fo is any other fide to the fine of its oppofite angle . For take CF = B AB , and upon AC let fall the perpen- diculars ...
... THEOREM III . In every plane triangle ABC , it will be , as any one fide is to the fine of its oppofite angle , fo is any other fide to the fine of its oppofite angle . For take CF = B AB , and upon AC let fall the perpen- diculars ...
Side 8
With the Construction and Application of Logarithms Thomas Simpson. THEOREM V. In any plane triangle , it will be , as the fum of any two fides is to their difference , fo is the tangent of balf the fum of the two oppofite angles , to ...
With the Construction and Application of Logarithms Thomas Simpson. THEOREM V. In any plane triangle , it will be , as the fum of any two fides is to their difference , fo is the tangent of balf the fum of the two oppofite angles , to ...
Side 9
... Theorem , for finding the an- gles oppofite to any two propofed fides ; the in- cluded angle , and the fides themselves , being known . As the leffer of the propofed fides ( Ab or AB ) is to the greater ( AC ) , fo is radius to the ...
... Theorem , for finding the an- gles oppofite to any two propofed fides ; the in- cluded angle , and the fides themselves , being known . As the leffer of the propofed fides ( Ab or AB ) is to the greater ( AC ) , fo is radius to the ...
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