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 34
Side 6
... ( as 14 4 ) without any mention of Prop Theor . & c . referenc to the Elements of Geometry published by the fame author ; to which this little tract is defigned as an Appendix . Thus Thus let AB = , 8 , and BC = 6 Plane Trigonometry .
... ( as 14 4 ) without any mention of Prop Theor . & c . referenc to the Elements of Geometry published by the fame author ; to which this little tract is defigned as an Appendix . Thus Thus let AB = , 8 , and BC = 6 Plane Trigonometry .
Side 9
... Theor . 2. ) And as radius to the tangent of the excess of this angle above 45 ° , fo is the tangent of half the fum of the required angles to the tangent of half their difference . This Theorem , though it requires tavo proportions ...
... Theor . 2. ) And as radius to the tangent of the excess of this angle above 45 ° , fo is the tangent of half the fum of the required angles to the tangent of half their difference . This Theorem , though it requires tavo proportions ...
Side 10
... Theor . I. ) As AC : BC :: radius : fin . A ( Theor . I. ) whofe complement is the angle C. Let the angles be found , by Cafe 2. and then the re- quired leg AB . by Cafe 1 . The an- The hyp . As fine A : radius : : the 4 gles and one ...
... Theor . I. ) As AC : BC :: radius : fin . A ( Theor . I. ) whofe complement is the angle C. Let the angles be found , by Cafe 2. and then the re- quired leg AB . by Cafe 1 . The an- The hyp . As fine A : radius : : the 4 gles and one ...
Side 11
... Theor . III . ) Two fides The other As fum of AB and AC : their AC , AB and angles Cd tang . of half the fum of the included and ABC ABC and C : tang of half their angle A diff . ( by Theor.V . ) which added to , and fubtracted from ...
... Theor . III . ) Two fides The other As fum of AB and AC : their AC , AB and angles Cd tang . of half the fum of the included and ABC ABC and C : tang of half their angle A diff . ( by Theor.V . ) which added to , and fubtracted from ...
Side 17
... Theor . 1. p . 13. ) we fhall have 2C X fine 1 ' - fine o - fine 2 ' . 2CX fine 2 ' fine ' fine 3 ' . 2CX fine 3 ' - fine 2 ' - fine 4 . 2Cx fine 4 ' - fine 3 ' - fine 5 ' . And thus are the fines of 6 , 7 , 8 ' , & c . fuc- ceffively ...
... Theor . 1. p . 13. ) we fhall have 2C X fine 1 ' - fine o - fine 2 ' . 2CX fine 2 ' fine ' fine 3 ' . 2CX fine 3 ' - fine 2 ' - fine 4 . 2Cx fine 4 ' - fine 3 ' - fine 5 ' . And thus are the fines of 6 , 7 , 8 ' , & c . fuc- ceffively ...
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