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 |
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Resultat 1-5 av 7
Side 4
... chord , or fubtenfe , is a right - line drawn from one extremity of an arch to the other : thus the right line BE is the chord , or fubtenfe , of the arch BAE or BDE . 6. The fine , or right - fine , of an arch , is a right line drawn ...
... chord , or fubtenfe , is a right - line drawn from one extremity of an arch to the other : thus the right line BE is the chord , or fubtenfe , of the arch BAE or BDE . 6. The fine , or right - fine , of an arch , is a right line drawn ...
Side 14
... chord BD , but alfo bifects it ( by 13. ) and therefore Bm ( or Dm ) will be the fine of BC ( or DC ) , and Om its co - fine : moreover mn , being an arithmetical mean between the fines BE , DG of the two extremes ( because Bm Dm ) is ...
... chord BD , but alfo bifects it ( by 13. ) and therefore Bm ( or Dm ) will be the fine of BC ( or DC ) , and Om its co - fine : moreover mn , being an arithmetical mean between the fines BE , DG of the two extremes ( because Bm Dm ) is ...
Side 15
... chord of 60 ° OC , it is manifeft that DG - BE will , in ' this cafe , be barely Dm ; and confequently DG = Dm + BE . From whence , and the preceding corollary , we have these two useful theorems . 1. If the fine of the mean , of three ...
... chord of 60 ° OC , it is manifeft that DG - BE will , in ' this cafe , be barely Dm ; and confequently DG = Dm + BE . From whence , and the preceding corollary , we have these two useful theorems . 1. If the fine of the mean , of three ...
Side 16
... chord of of the femi - periphery is expreffed by , 00818121 ( radius being unity ) ; therefore , as the chords of very finall arches are to each other nearly as the arches themfelves ( vid . p . 181. ) we shall have , as : , 00818121 ...
... chord of of the femi - periphery is expreffed by , 00818121 ( radius being unity ) ; therefore , as the chords of very finall arches are to each other nearly as the arches themfelves ( vid . p . 181. ) we shall have , as : , 00818121 ...
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