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 |
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Resultat 1-5 av 52
Side 4
... fine , or right - fine , of an arch , is a right line drawn from one extremity of the arch , perpendicular to the diameter paffing through the other extremity . Thus BF is the fine of the arch AB or DB . 7. The verfed fine of an arch is ...
... fine , or right - fine , of an arch , is a right line drawn from one extremity of the arch , perpendicular to the diameter paffing through the other extremity . Thus BF is the fine of the arch AB or DB . 7. The verfed fine of an arch is ...
Side 5
... fine ; and is equal to the fine of the complement of that arch . Thus CF is the co - fine of the arch AB , and is equal to BI , the fine of its comple- ment HB . * 9. The tangent of an arch is a right line . touching the circle in one ...
... fine ; and is equal to the fine of the complement of that arch . Thus CF is the co - fine of the arch AB , and is equal to BI , the fine of its comple- ment HB . * 9. The tangent of an arch is a right line . touching the circle in one ...
Side 6
... fine of the angle at the bafe . anil G F For , let AE or AF be the radius to which the table of fines , & c . is adapted , and ED the fine of the angle A or arch EF ( Vid . Def . 3. and 6. ) ; then , • BD F because of the fimi- lar ...
... fine of the angle at the bafe . anil G F For , let AE or AF be the radius to which the table of fines , & c . is adapted , and ED the fine of the angle A or arch EF ( Vid . Def . 3. and 6. ) ; then , • BD F because of the fimi- lar ...
Side 7
... fine of its oppofite angle , fo is any other fide to the fine of its oppofite angle . For take CF = B AB , and upon AC let fall the perpen- . diculars BD and FE ; which will be the * F fines of the angles A and C to the equal radii AB ...
... fine of its oppofite angle , fo is any other fide to the fine of its oppofite angle . For take CF = B AB , and upon AC let fall the perpen- . diculars BD and FE ; which will be the * F fines of the angles A and C to the equal radii AB ...
Side 10
... fine A : radius : : the 4 gles and one legBC AC leg BC : to the hyp . AC ( Theor . I. ) The an- The other As fine A : BC :: fine C gles and leg AB 5 one leg BC The two The an- 6 legs AB gles and BC AB ( by Theor . III . ) Or , as radius ...
... fine A : radius : : the 4 gles and one legBC AC leg BC : to the hyp . AC ( Theor . I. ) The an- The other As fine A : BC :: fine C gles and leg AB 5 one leg BC The two The an- 6 legs AB gles and BC AB ( by Theor . III . ) Or , as radius ...
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