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 40
Side 4
... difference of any arch from 90 ° ( or a quadrant ) is called its complement ; and its dif- ference from 180 ° ( or a femicircle ) its fupple- ment . 5. A chord , or fubtenfe , is a right - line drawn from one extremity of an arch to the ...
... difference of any arch from 90 ° ( or a quadrant ) is called its complement ; and its dif- ference from 180 ° ( or a femicircle ) its fupple- ment . 5. A chord , or fubtenfe , is a right - line drawn from one extremity of an arch to the ...
Side 7
... difference of the fides to twice the distance DE of the perpendicular from the middle of the bafe . For ( by Cor . to 9. 2. ) AB + BCX AB - BC = AC × 2DE ; whence AC AB + . BC AB - BC : B 2DE ( by 10. 4. ) 2 . E. D. A ED B 4 THEO . d ...
... difference of the fides to twice the distance DE of the perpendicular from the middle of the bafe . For ( by Cor . to 9. 2. ) AB + BCX AB - BC = AC × 2DE ; whence AC AB + . BC AB - BC : B 2DE ( by 10. 4. ) 2 . E. D. A ED B 4 THEO . d ...
Side 8
... difference , fo is the tangent of half the fum of the two oppofite angles , to the tan- gent of half their difference . E A D C For , let ABC be the triangle , and AB and AC the two propofed fides ; and from the cen- ter A , with the ra ...
... difference , fo is the tangent of half the fum of the two oppofite angles , to the tan- gent of half their difference . E A D C For , let ABC be the triangle , and AB and AC the two propofed fides ; and from the cen- ter A , with the ra ...
Side 9
... difference . This Theorem , though it requires tavo proportions , is commonly ufed by Aftronomers in determining the elongation and parallaxes of the planets ( being beft adapted to logarithms ) ; for which reason is is here given . 1 ...
... difference . This Theorem , though it requires tavo proportions , is commonly ufed by Aftronomers in determining the elongation and parallaxes of the planets ( being beft adapted to logarithms ) ; for which reason is is here given . 1 ...
Side 14
... difference , fo is the co - fine FO of the mean , to half the difference of the fines of the two ex- tremes . D - AE F G H meeting DG in H and v . • 2. For let BD be drawn , interfect- ing the radius OC in m ; alfo draw mn parallel to ...
... difference , fo is the co - fine FO of the mean , to half the difference of the fines of the two ex- tremes . D - AE F G H meeting DG in H and v . • 2. For let BD be drawn , interfect- ing the radius OC in m ; alfo draw mn parallel to ...
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