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 23
Side 8
... equal to half the fum of the angles op- pofite to the fides propofed . Moreover , fince ABC = ABD ( ADB ) + DBC , and C = ADB DBC ( by 9. 1. ) it is plain that ABC - C is = 2DBC ; or that DBC is equal to half the difference of the fame ...
... equal to half the fum of the angles op- pofite to the fides propofed . Moreover , fince ABC = ABD ( ADB ) + DBC , and C = ADB DBC ( by 9. 1. ) it is plain that ABC - C is = 2DBC ; or that DBC is equal to half the difference of the fame ...
Side 9
... equal , each to each , it will be ( by equa- АБС + АСЬ : tang . Abc - ACb lity ) , as tang . 2 2 ABC + ACB ABC ACB ... half the fum of the required angles to the tangent of half their difference * . This Theorem , though it requires two ...
... equal , each to each , it will be ( by equa- АБС + АСЬ : tang . Abc - ACb lity ) , as tang . 2 2 ABC + ACB ABC ACB ... half the fum of the required angles to the tangent of half their difference * . This Theorem , though it requires two ...
Side 13
... equal to the fquare of the radius ( by 10. 4. ) : whence it likewife follows , that the tangent of half a right - angle is equal to the ra- dius ; and that the co - tangents of any two dif- ferent arches ( reprefented by P and Q are to ...
... equal to the fquare of the radius ( by 10. 4. ) : whence it likewife follows , that the tangent of half a right - angle is equal to the ra- dius ; and that the co - tangents of any two dif- ferent arches ( reprefented by P and Q are to ...
Side 14
... half the fum of the fines BE + DG , of the two extremes : and , as radius to ... equal to each other ( by hypothefis ) , OC is not only perpen- dicular to ... equal to half their fum , and Do equal to half their difference . But , because ...
... half the fum of the fines BE + DG , of the two extremes : and , as radius to ... equal to each other ( by hypothefis ) , OC is not only perpen- dicular to ... equal to half their fum , and Do equal to half their difference . But , because ...
Side 17
... is given ( by p . 181 of the Elements ) = ± √ 2 + √ 3 = , 965925826 , & c . ( = the fupplement chord of 30 ° ) and the fine of 18 ° , which is ÷ √ ÷ = C , 309017 , - , 309017 , & c . ( equal to half of Sines , Tangents and Secants . 17.
... is given ( by p . 181 of the Elements ) = ± √ 2 + √ 3 = , 965925826 , & c . ( = the fupplement chord of 30 ° ) and the fine of 18 ° , which is ÷ √ ÷ = C , 309017 , - , 309017 , & c . ( equal to half of Sines , Tangents and Secants . 17.
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