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
Side 3
... given any three parts of a plane triangle , ( except the three angles ) the reft are determined . In order to which , it is not only requifite that the peripheries of circles , but allo certain right - lines in , and about , the circle ...
... given any three parts of a plane triangle , ( except the three angles ) the reft are determined . In order to which , it is not only requifite that the peripheries of circles , but allo certain right - lines in , and about , the circle ...
Side 4
... given arch , or angle , contains 50 degrees , 18 minutes , and 35 fe- conds . 4. The difference of any arch from 90 ° ( or a quadrant ) is called its complement ; and its dif- ference from 180 ° ( or a femicircle ) its fupple- ment . 5 ...
... given arch , or angle , contains 50 degrees , 18 minutes , and 35 fe- conds . 4. The difference of any arch from 90 ° ( or a quadrant ) is called its complement ; and its dif- ference from 180 ° ( or a femicircle ) its fupple- ment . 5 ...
Side 9
... by Aftronomers in determining the elongation and parallaxes of the planets ( being beft adapted to logarithms ) ; for which reason is is here given . 1 The A B The folution of the cafes of right - Plane Trigonometry .
... by Aftronomers in determining the elongation and parallaxes of the planets ( being beft adapted to logarithms ) ; for which reason is is here given . 1 The A B The folution of the cafes of right - Plane Trigonometry .
Side 10
... Given Sought The hyp . One leg IAC and BC the angles The hyp . The an- gles 2 AC and one legBC The hyp . The other 3 AC and leg AB one legBC Solution . As radius is to the fine of A , fo is the hyp . AC to the leg BC ( by Theor . I ...
... Given Sought The hyp . One leg IAC and BC the angles The hyp . The an- gles 2 AC and one legBC The hyp . The other 3 AC and leg AB one legBC Solution . As radius is to the fine of A , fo is the hyp . AC to the leg BC ( by Theor . I ...
Side 11
... Given Sought Solution . The angles Either of As fine C : AB :: fine A : I and one fide the other BC ( by Theor . III . ) 2 3 4 AB Two fides fides BC The other As AB : fin . C :: BC : fin . A AB , BC and angles A ( byTheor . III ...
... Given Sought Solution . The angles Either of As fine C : AB :: fine A : I and one fide the other BC ( by Theor . III . ) 2 3 4 AB Two fides fides BC The other As AB : fin . C :: BC : fin . A AB , BC and angles A ( byTheor . III ...
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