Trigonometry, Plane and Spherical;: With the Construction and Application of LogarithmsJ. Nourse, bookseller in ordinary to his Majesty., 1765 - 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 fubtense , 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 fubtense , 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 also bifects it ( by 1. 3. ) 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 also bifects it ( by 1. 3. ) 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 thele 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 thele two useful theorems . 1. If the fine of the mean , of three ...
Side 16
... chord of of the femi - periphery उठक is expreffed by , 00818121 ( radius being unity ) ; therefore , as the chords of very fmall arches are to each other nearly as the arches themselves ( vid . p . 181. ) we shall have , as ...
... chord of of the femi - periphery उठक is expreffed by , 00818121 ( radius being unity ) ; therefore , as the chords of very fmall arches are to each other nearly as the arches themselves ( vid . p . 181. ) we shall have , as ...
Side 17
... p . 181 of the Elements ) = ± √ 2 + √ 3 = , 965925826 , & c . ( = the fupplement chord of 30 ° ) and the fine of 18 ° , which is ÷ √ ÷ = C , 309017 , - , 309017 , & c . ( equal to half of Sines , Tangents and Secants . 17.
... p . 181 of the Elements ) = ± √ 2 + √ 3 = , 965925826 , & c . ( = the fupplement chord of 30 ° ) and the fine of 18 ° , which is ÷ √ ÷ = C , 309017 , - , 309017 , & c . ( equal to half of Sines , Tangents and Secants . 17.
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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