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 27
Side 6
... ) 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 .
... ) 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 8
... fame angles . Now , because of the parallel lines BF and ED , it will be CF : CD :: BF : DE , but BF and DE , because DBF and BDE are right - angles ( by 13.3 . and 7. 1. ) will be tangents of the forefaid angles FDB ( ADB ) and DBE ...
... fame angles . Now , because of the parallel lines BF and ED , it will be CF : CD :: BF : DE , but BF and DE , because DBF and BDE are right - angles ( by 13.3 . and 7. 1. ) will be tangents of the forefaid angles FDB ( ADB ) and DBE ...
Side 12
... fame . Having laid down , the method of refolving the different cafes of plane triangles , by a table of fines and tangents ; I fhall here fhew the manner of conftructing fuch a table ( as the foundation upon which the whole doctrine is ...
... fame . Having laid down , the method of refolving the different cafes of plane triangles , by a table of fines and tangents ; I fhall here fhew the manner of conftructing fuch a table ( as the foundation upon which the whole doctrine is ...
Side 13
... to one another , inversely as the tangents of the fame arches : for , fince tang . P x co - tang . P = = fqu . rad . tang . Qx co - tang . Q ; therefore will co- tang . L tang . P : co - tang . Q of Sines , Tangents , and Secants . 13.
... to one another , inversely as the tangents of the fame arches : for , fince tang . P x co - tang . P = = fqu . rad . tang . Qx co - tang . Q ; therefore will co- tang . L tang . P : co - tang . Q of Sines , Tangents , and Secants . 13.
Side 16
... fame degree of exactnefs ) ; then let the operations , in p . 181 , be continued to 11 bifections , and a greater number of decimals be taken ; by which means you will get the chord of part of the femi - periphery to what accuracy you ...
... fame degree of exactnefs ) ; then let the operations , in p . 181 , be continued to 11 bifections , and a greater number of decimals be taken ; by which means you will get the chord of part of the femi - periphery to what accuracy you ...
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