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 40
Side 4
... difference of any arch from 90 ° ( or a quadrant ) is called is 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 is 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 . to9.2 . ) AB + BC - AB - BC = AC X 2DE ; whence AC AB + BC : AB- BC : 2DE ( by 10. 4. ) 2 E. D. B A A B 4 ED THEO THEOREM ...
... difference of the fides to twice the distance DE of the perpendicular from the middle of the bafe . For ( by Cor . to9.2 . ) AB + BC - AB - BC = AC X 2DE ; whence AC AB + BC : AB- BC : 2DE ( by 10. 4. ) 2 E. D. B A A B 4 ED THEO THEOREM ...
Side 8
... difference , fo is the tangent of balf the fum of the two oppofite angles , to the tan- gent of half their difference . B E A F D b For , let ABC be the triangle , and AB and AC the two propofed fides ; and from the cen- ter A , with ...
... difference , fo is the tangent of balf the fum of the two oppofite angles , to the tan- gent of half their difference . B E A F D b For , let ABC be the triangle , and AB and AC the two propofed fides ; and from the cen- ter A , with ...
Side 9
... difference * . This Theorem , though it requires two proportions , is commonly ufed by Aftronomers in determining the elongation and parallaxes of the planets ( being beft adapted to logarithms ) ; for which reafon it is bere given ...
... difference * . This Theorem , though it requires two proportions , is commonly ufed by Aftronomers in determining the elongation and parallaxes of the planets ( being beft adapted to logarithms ) ; for which reafon it is bere given ...
Side 14
... difference , fo is the co - fine FO of the mean , to half the difference of the fines of the two ex- tremes , AE Fn D v H GO meeting DG in H and v . For let BD be drawn , interfect- ing the radius OC in m ; alfo draw mn parallel to CF ...
... difference , fo is the co - fine FO of the mean , to half the difference of the fines of the two ex- tremes , AE Fn D v H GO meeting DG in H and v . For let BD be drawn , interfect- ing the radius OC in m ; alfo draw mn parallel to CF ...
Andre utgaver - Vis alle
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