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 14
Side 3
... determined . In order to which , it is not only requifite that the peripheries of circles , but allo certain right - lines in , and about , the circle , be fuppofed divided into fome affigned number of equal parts . 2. The periphery of ...
... determined . In order to which , it is not only requifite that the peripheries of circles , but allo certain right - lines in , and about , the circle , be fuppofed divided into fome affigned number of equal parts . 2. The periphery of ...
Side 9
... commonly ufed by Aftronomers in determining the elongation and parallaxes of the planets ( being beft adapted to logarithms ) ; for which reason is is here given . 1 The A B The folution of the cafes of right - Plane Trigonometry .
... commonly ufed by Aftronomers in determining the elongation and parallaxes of the planets ( being beft adapted to logarithms ) ; for which reason is is here given . 1 The A B The folution of the cafes of right - Plane Trigonometry .
Side 16
... determined ( from which the fines of other arches may be derived with the fame degree of exactnefs ) ; then let the operations , in p . 181 , be continued to 11 bifections , and a greater number of decimals be taken ; by which means you ...
... determined ( from which the fines of other arches may be derived with the fame degree of exactnefs ) ; then let the operations , in p . 181 , be continued to 11 bifections , and a greater number of decimals be taken ; by which means you ...
Side 18
... determined ( by Theor . 1. p . 15. ) and that to any affigned degree of exactness . The fines of all the terms of the progreffion 45 ′ , 1 ° 30 ′ , 2 ° 15 ' , & c . up to 60 ° , being thus derived , the next thing is to find , by help ...
... determined ( by Theor . 1. p . 15. ) and that to any affigned degree of exactness . The fines of all the terms of the progreffion 45 ′ , 1 ° 30 ′ , 2 ° 15 ' , & c . up to 60 ° , being thus derived , the next thing is to find , by help ...
Side 35
... and 12th cafes are ambiguous ; fince it cannot be determined , by the data , whether AB , C , and AC , be greater or less than 90 degrees each . D 2 The E D B D B The folution of the cafes Spherical Trigonometry . 35.
... and 12th cafes are ambiguous ; fince it cannot be determined , by the data , whether AB , C , and AC , be greater or less than 90 degrees each . D 2 The E D B D B The folution of the cafes Spherical Trigonometry . 35.
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