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 11
Side 7
... shall have , 8 : , 5 :: 1 ( radius ) : tangent A = , 625 ; whence A itself is found , by the canon ; to be 32 ° 00 % THEOREM III . In every plane triangle ABC , it will be , as any one fide is to the fine of its oppofite angle , fo is ...
... shall have , 8 : , 5 :: 1 ( radius ) : tangent A = , 625 ; whence A itself is found , by the canon ; to be 32 ° 00 % THEOREM III . In every plane triangle ABC , it will be , as any one fide is to the fine of its oppofite angle , fo is ...
Side 16
... shall have , as ::: , 00818121 : , 008726624 , the chord of , or half a degree ; whofe half , or , 004363312 , is therefore the fine of 15 ' , very nearly . 1 From whence the fine of any inferior arch may be found by bare proportion ...
... shall have , as ::: , 00818121 : , 008726624 , the chord of , or half a degree ; whofe half , or , 004363312 , is therefore the fine of 15 ' , very nearly . 1 From whence the fine of any inferior arch may be found by bare proportion ...
Side 27
... shall ( by ar guing as above ) have co - fine ACB : co - fine DCB :: tang . DC : tang . AC . THEOREM II . In any right - angled fpherical triangle ( ABC ) it . will be , as radius is to the co - fine of one leg , fo is the co - fine of ...
... shall ( by ar guing as above ) have co - fine ACB : co - fine DCB :: tang . DC : tang . AC . THEOREM II . In any right - angled fpherical triangle ( ABC ) it . will be , as radius is to the co - fine of one leg , fo is the co - fine of ...
Side 41
... shall have L + + + 2 2.3 2.3.4 & c . x ; and confequently , by reverting the fe- x2 x3 x4 ries , L = x- + ― + - & c . 4 6 5 2. E. I. 3 OTHERWISE . Because el I + = N ( by the definition of lo- I N2 m garithms ) we shall have e = N " = 1 ...
... shall have L + + + 2 2.3 2.3.4 & c . x ; and confequently , by reverting the fe- x2 x3 x4 ries , L = x- + ― + - & c . 4 6 5 2. E. I. 3 OTHERWISE . Because el I + = N ( by the definition of lo- I N2 m garithms ) we shall have e = N " = 1 ...
Side 45
... shall have ac = b2 - 1 , and con- br ac + I sequently = ас ac = b I , ― I Whence , by the nature of logarithms , we likewife have 2 log . b- - log . ac + 1 : but the logarithm ac a- log . c = log . ac + I I 2x of , by putting = x , will ...
... shall have ac = b2 - 1 , and con- br ac + I sequently = ас ac = b I , ― I Whence , by the nature of logarithms , we likewife have 2 log . b- - log . ac + 1 : but the logarithm ac a- log . c = log . ac + I I 2x of , by putting = x , will ...
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