Trigonometry, Plane and Spherical;: With the Construction and Application of LogarithmsJ. Nourse, bookseller in ordinary to his Majesty., 1765 - 79 sider |
Inni boken
Resultat 1-5 av 34
Side 6
... Theor . & c . reference is made to the fecond edition of the Elements of Geometry published by the fame author ; to which this little tract is defigned as an Appendix . I Thus Thus let AB , 8 , and BC = , Plane Trigonometry .
... Theor . & c . reference is made to the fecond edition of the Elements of Geometry published by the fame author ; to which this little tract is defigned as an Appendix . I Thus Thus let AB , 8 , and BC = , 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 two 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 two 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 . As fine A : radius :: the leg BC to the hyp AC ( Theor . I ...
... 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 . As fine A : radius :: the leg BC to the hyp AC ( Theor . I ...
Side 11
... Theor . III . ) . 2 3 4 AB Two fides AB , BC and an ang . C op . to one of ' em . fides BC The other As AB : fin . C :: BC : fin . A angles A ( by Theor . IIl . ) which added to and ABCC , and the fum fubtracted from 180 gives the other ...
... Theor . III . ) . 2 3 4 AB Two fides AB , BC and an ang . C op . to one of ' em . fides BC The other As AB : fin . C :: BC : fin . A angles A ( by Theor . IIl . ) which added to and ABCC , and the fum fubtracted from 180 gives the other ...
Side 17
... Theor . I. p . 13. ) we fhall have ' 2C x fine fine o ' - 2C X fine 2 fine ' fine 3 ' . - fine 2 ′ . 2C x fine.3 ' 2C x fine 4 ' - fine 2 ' fine 3 ' fine 4 ' . fine 5 ' . And thus are the fines of 6 ' , 7 , 8 ' , & c . fuc- ceffively ...
... Theor . I. p . 13. ) we fhall have ' 2C x fine fine o ' - 2C X fine 2 fine ' fine 3 ' . - fine 2 ′ . 2C x fine.3 ' 2C x fine 4 ' - fine 2 ' fine 3 ' fine 4 ' . fine 5 ' . And thus are the fines of 6 ' , 7 , 8 ' , & c . fuc- ceffively ...
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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