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 41
Side 5
... AB ; but 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 . 1 THEOREM I. * In any right - angled plane Plane Trigonometry .
... AB ; but 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 . 1 THEOREM I. * In any right - angled plane 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 ...
... 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 ...
Side 11
... BC : their dif . : dift . DG of the perp . from the middle of the bafe ; whence , AD being alfo known , the angle A will be found by Cafe 2. of right - angles . Note , Note , The 2d and 3d cafes are ambiguous , Plane Trigonometry . .1 II.
... BC : their dif . : dift . DG of the perp . from the middle of the bafe ; whence , AD being alfo known , the angle A will be found by Cafe 2. of right - angles . Note , Note , The 2d and 3d cafes are ambiguous , Plane Trigonometry . .1 II.
Side 12
... fecant . CE Then ( by 8. 2. ) we have CF the fquare root of EF ; whence , not only the co - fine CF , but alfo the verfed fine AF , ― will 1 will be known . Then because of the fimilar triangles 12 Conftruction of the Table.
... fecant . CE Then ( by 8. 2. ) we have CF the fquare root of EF ; whence , not only the co - fine CF , but alfo the verfed fine AF , ― will 1 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 ...
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