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 12
Side 13
... appears , 1. That the tangent is a fourth proportional to the co - fine , the fine , and radius . 2. That the fecant ... appears moreover ( because AT : AC :: CD ( AC ) : DH ) , that the rectangle of the tangent and co - tangent is equal ...
... appears , 1. That the tangent is a fourth proportional to the co - fine , the fine , and radius . 2. That the fecant ... appears moreover ( because AT : AC :: CD ( AC ) : DH ) , that the rectangle of the tangent and co - tangent is equal ...
Side 24
... appears ( from Def . 2. ) that all great- circles , paffing through the pole of a given circle , cut that circle at right - angles ; because they pafs through , or coincide with the axis , which is per- pendicular to it . B E D A 3. It ...
... appears ( from Def . 2. ) that all great- circles , paffing through the pole of a given circle , cut that circle at right - angles ; because they pafs through , or coincide with the axis , which is per- pendicular to it . B E D A 3. It ...
Side 41
... appears from the preceding Prop . that 1 + L L2 2 L3 + & c . is N : therefore , if x + 1 be 2.3 = L2 L3 L + put = N , we shall have L + + + 2 2.3 2.3.4 & c . x ; and confequently , by reverting the fe- x2 x3 x4 ries , L = x- + ― + - & c ...
... appears from the preceding Prop . that 1 + L L2 2 L3 + & c . is N : therefore , if x + 1 be 2.3 = L2 L3 L + put = N , we shall have L + + + 2 2.3 2.3.4 & c . x ; and confequently , by reverting the fe- x2 x3 x4 ries , L = x- + ― + - & c ...
Side 51
... appear to be 9,7621775 ; to which add 4,2530956 , the log . of 17910 , and from the fum ( 14,0152731 ) take 10 , the log . of radius , and there results 4,0152731 the log . of BC ; which , in the tables , answers to 10358 , the length ...
... appear to be 9,7621775 ; to which add 4,2530956 , the log . of 17910 , and from the fum ( 14,0152731 ) take 10 , the log . of radius , and there results 4,0152731 the log . of BC ; which , in the tables , answers to 10358 , the length ...
Side 54
... appears , that the Square of the fine of half any arch , or angle , is equal to a rectangle under half the radius and the verfed fine of the whole ; and that the Square of its co - fine is equal to a rectangle under half the radius and ...
... appears , that the Square of the fine of half any arch , or angle , is equal to a rectangle under half the radius and the verfed fine of the whole ; and that the Square of its co - fine is equal to a rectangle under half the radius and ...
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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