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 41
Side 5
... 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 .
... 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 7
... whence A itself is found , by the canon ; to be 32 ° 00 % 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 ...
... whence A itself is found , by the canon ; to be 32 ° 00 % 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 ...
Side 11
... BC : their dif .: dift . DG of the perp . from the middle of the bafe ; whence , AD being also known , the angle A will be found by Cafe 2. of right - angles . Note , Note , The 2d and 3d cafes are ambiguous , Plane Trigonometry .
... BC : their dif .: dift . DG of the perp . from the middle of the bafe ; whence , AD being also known , the angle A will be found by Cafe 2. of right - angles . Note , Note , The 2d and 3d cafes are ambiguous , Plane Trigonometry .
Side 12
... . - Then ( by 8. 2. ) we have CF the fquare root of CE2 EF ; whence , not A only the co - fine CF , but alfo the verfed fine AF , will will be known . Then because of the fimilar triangles '12 Conftruction of the Table.
... . - Then ( by 8. 2. ) we have CF the fquare root of CE2 EF ; whence , not A only the co - fine CF , but alfo the verfed fine AF , will will be known . Then because of the fimilar triangles '12 Conftruction of the Table.
Side 13
... whence the tangent is known , 2. CF : CE ( CA ) :: CA : CT ; whence the fecant is known . 3. EF : CF :: CD : DH ; whence the co - tan- gent is known . 4. EF : EC ( CD ) :: CD : CH ; whence the co - fecant is known . Hence it appears , 1 ...
... whence the tangent is known , 2. CF : CE ( CA ) :: CA : CT ; whence the fecant is known . 3. EF : CF :: CD : DH ; whence the co - tan- gent is known . 4. EF : EC ( CD ) :: CD : CH ; whence the co - fecant is known . Hence it appears , 1 ...
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