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 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 АЪС + АСЬ АБС - АСЬ 2 lity ) , as tang . : tang . 2 ABC + ACB ABC - ACB ... half the fum of the required angles to the tangent of half their difference . This Theorem , though it requires tavo ...
... equal , each to each , it will be ( by equa АЪС + АСЬ АБС - АСЬ 2 lity ) , as tang . : tang . 2 ABC + ACB ABC - ACB ... half the fum of the required angles to the tangent of half their difference . This Theorem , though it requires tavo ...
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 ( represented 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 ( represented by P and Q ) are to ...
Side 14
... half the fum of the fines BE4DG , 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 Dv equal to half their difference . But , because ...
... half the fum of the fines BE4DG , 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 Dv equal to half their difference . But , because ...
Side 17
... which is given ( by p . 181 of the Elements ) = { √2 + √3 965925826 , & c . ( = the fupplement chord of 30 ° ) and the fine of 18 ° , which is == , 309017 , C , 309017 , & c . ( equal to half of Sines , Tangents , and Secants . 17.
... which is given ( by p . 181 of the Elements ) = { √2 + √3 965925826 , & c . ( = the fupplement chord of 30 ° ) and the fine of 18 ° , which is == , 309017 , C , 309017 , & c . ( equal to half of Sines , Tangents , and Secants . 17.
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