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 18
Side 8
... Moreover , fince ABC ABD ( ADB ) + DBC , and C ADB DBC ( by 9. 1. ) it is plain that ABC - C is = 2DBC ; or that DBC is equal to half the difference of the fame angles . Now , because of the parallel lines BF and ED , it will be CF : CD ...
... Moreover , fince ABC ABD ( ADB ) + DBC , and C ADB DBC ( by 9. 1. ) it is plain that ABC - C is = 2DBC ; or that DBC is equal to half the difference of the fame angles . Now , because of the parallel lines BF and ED , it will be CF : CD ...
Side 13
... moreover ( because AT : AC :: CD ( AC ) : DH ) , that the rectangle of the tangent and co - tangent is equal to the fquare of the radius ( by 10. 4. ) : whence it likewife follows , that the tangent of half a right angle is equal to the ...
... moreover ( because AT : AC :: CD ( AC ) : DH ) , that the rectangle of the tangent and co - tangent is equal to the fquare of the radius ( by 10. 4. ) : whence it likewife follows , that the tangent of half a right angle is equal to the ...
Side 14
... moreover mn , being an arithmetical mean between the fines BE , DG of the two extremes ( because Bm Dm ) is there- fore equal to half their fum , and Dv equal to half their difference . But , because of the fimilar triangles OCF , Omn ...
... moreover mn , being an arithmetical mean between the fines BE , DG of the two extremes ( because Bm Dm ) is there- fore equal to half their fum , and Dv equal to half their difference . But , because of the fimilar triangles OCF , Omn ...
Side 26
... moreover , let CG be the fine of the hypo- thenufe , AK its tangent , AI the tangent of the base , CH the fine of the perpendicular , and EF the fine of the angle at the bafe ; and let I , K and G , H be joined . Because CH is ...
... moreover , let CG be the fine of the hypo- thenufe , AK its tangent , AI the tangent of the base , CH the fine of the perpendicular , and EF the fine of the angle at the bafe ; and let I , K and G , H be joined . Because CH is ...
Side 27
... moreover , that , in right - angled spherical triangles ABC , DBC , having one leg BC common , the tangents of the hypothenuses are to each other , inversely , as the co - fines of the adjacent angles . - For radius : co - fine ACB ...
... moreover , that , in right - angled spherical triangles ABC , DBC , having one leg BC common , the tangents of the hypothenuses are to each other , inversely , as the co - fines of the adjacent angles . - For radius : co - fine ACB ...
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