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 19
Side 4
... drawn from one extremity of an arch to the other : thus the right line BE is the chord , or fubtenfe , of the arch BAE or BDE . 6. The fine , or right - fine , of an arch , is a right line drawn from one extremity of the arch ...
... drawn from one extremity of an arch to the other : thus the right line BE is the chord , or fubtenfe , of the arch BAE or BDE . 6. The fine , or right - fine , of an arch , is a right line drawn from one extremity of the arch ...
Side 8
... draw DE parallel to FB , meeting BC in E. Then , because 2ADB = ADB + ABD ( by 12. 1. ) = C + ABC ( by 9. 1. ) it is plain that ADB is equal to half the fum of the angles op- pofite to the fides propofed . Moreover , fince ABC ABD ( ADB ) ...
... draw DE parallel to FB , meeting BC in E. Then , because 2ADB = ADB + ABD ( by 12. 1. ) = C + ABC ( by 9. 1. ) it is plain that ADB is equal to half the fum of the angles op- pofite to the fides propofed . Moreover , fince ABC ABD ( ADB ) ...
Side 12
... drawn from B to a point in the base , somewhere between C and the perpendicular BD , and therefore the angle found by the proportion AB ( aB ) : fin . C. :: BC : fin . A ( or of CaB , ) may , it is evident , be either the acute angle A ...
... drawn from B to a point in the base , somewhere between C and the perpendicular BD , and therefore the angle found by the proportion AB ( aB ) : fin . C. :: BC : fin . A ( or of CaB , ) may , it is evident , be either the acute angle A ...
Side 14
... drawn , interfect- ing the radius OC in m ; alfo draw mn parallel to CF , meeting AO in n ; and BH and mv , parallel to AO , Then , the arches BC and CD being equal to each other ( by hypothefis ) , OC is not only perpen- dicular to the ...
... drawn , interfect- ing the radius OC in m ; alfo draw mn parallel to CF , meeting AO in n ; and BH and mv , parallel to AO , Then , the arches BC and CD being equal to each other ( by hypothefis ) , OC is not only perpen- dicular to the ...
Side 31
... drawn , and alfo the chord CB , meeting OE in E and OA ( produced ) in P ; draw ES paral- lel to AO , meeting CH in S , and EF and OK per- pendicular to AO , and let the latter meet EC ( pro- duced ) in I ; laftly , draw QDK ...
... drawn , and alfo the chord CB , meeting OE in E and OA ( produced ) in P ; draw ES paral- lel to AO , meeting CH in S , and EF and OK per- pendicular to AO , and let the latter meet EC ( pro- duced ) in I ; laftly , draw QDK ...
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