Trigonometry, Plane and Spherical;: With the Construction and Application of LogarithmsJ. Nourse, bookseller in ordinary to his Majesty., 1765 - 79 sider |
Inni boken
Side 8
... meeting BC in E. Then , because 2ADB = ADB + ABD ( by 12. 1. ) C + ABC ( by 9. 1. ) it is plain that ADB is equal to half the fum of the angles op- pofite to the fides propofed . Moreover , fince ABC = ABD ( ADB ) + DBC , and C = ADB ...
... meeting BC in E. Then , because 2ADB = ADB + ABD ( by 12. 1. ) C + ABC ( by 9. 1. ) it is plain that ADB is equal to half the fum of the angles op- pofite to the fides propofed . Moreover , fince ABC = ABD ( ADB ) + DBC , and C = ADB ...
Side 14
... meeting DG in H and v . For let BD be drawn , interfect- ing the radius OC in m ; alfo draw mn parallel to CF , meeting AO in ʼn ; and BH and mv , parallel to AO , Then , the arches BC and CD being equal to each other ( by hypothefis ) ...
... meeting DG in H and v . For let BD be drawn , interfect- ing the radius OC in m ; alfo draw mn parallel to CF , meeting AO in ʼn ; and BH and mv , parallel to AO , Then , the arches BC and CD being equal to each other ( by hypothefis ) ...
Side 31
... meeting OE in E and OA ( produced ) in P ; draw ES paral- lel to AO , meeting CH in S , and EF and OK per- pendicular to AO , and let the latter meet EC ( pro- duced ) in I ; laftly , draw QDK perpendicular to OD , meeting OA , OC and ...
... meeting OE in E and OA ( produced ) in P ; draw ES paral- lel to AO , meeting CH in S , and EF and OK per- pendicular to AO , and let the latter meet EC ( pro- duced ) in I ; laftly , draw QDK perpendicular to OD , meeting OA , OC and ...
Side 54
... meeting AO in n ; alfo draw mu and and BH parallel to AO , meeting GD in v 54 Properties of.
... meeting AO in n ; alfo draw mu and and BH parallel to AO , meeting GD in v 54 Properties of.
Side 55
... meeting GD in v and H : then it is plain , because Dm Bm , that Dv is = Hv , and mv = nG = En ; and that the triangles . OCF , Omn and mDv are fimilar ; whence we have the following proportions , OC : Om :: CF : mn OC : OF :: Dm : Dv OC ...
... meeting GD in v and H : then it is plain , because Dm Bm , that Dv is = Hv , and mv = nG = En ; and that the triangles . OCF , Omn and mDv are fimilar ; whence we have the following proportions , OC : Om :: CF : mn OC : OF :: Dm : Dv OC ...
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