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 17
Side 13
... follows , that the tangent of half a right angle is equal to the ra- dius ; and that the co - tangents of any two dif ferent arches ( represented by P and Q ) are to one another , inversely as the tangents of the fame arches : for ...
... follows , that the tangent of half a right angle is equal to the ra- dius ; and that the co - tangents of any two dif ferent arches ( represented by P and Q ) are to one another , inversely as the tangents of the fame arches : for ...
Side 18
... follows : 1. Multiply the fum of the fines of any two adjacent terms of the progreffion 45 ' , 1 ° 30 ' , 2 ° 15 ′ , 3 ° 00 ′ , 3 ° 45 ' , & c . ( betwixt which you would find all the intermediate fines ) by the fraction 0000000423 ...
... follows : 1. Multiply the fum of the fines of any two adjacent terms of the progreffion 45 ' , 1 ° 30 ' , 2 ° 15 ′ , 3 ° 00 ′ , 3 ° 45 ' , & c . ( betwixt which you would find all the intermediate fines ) by the fraction 0000000423 ...
Side 21
... follows : 1 75 , 0001486947 excefs 0000000730 1 prod . , 85940641 fine 59 ° 15 ′ 0001486947 $ 6217 1 rem . 730 8595551047 fine 59 ° 16 ′ 1486217 85487 2 rem . 8597037264 fine 59 ° 17 ′ 730 1485487 84757 3 rem . 8598522751 fine 59 ° 18 ...
... follows : 1 75 , 0001486947 excefs 0000000730 1 prod . , 85940641 fine 59 ° 15 ′ 0001486947 $ 6217 1 rem . 730 8595551047 fine 59 ° 16 ′ 1486217 85487 2 rem . 8597037264 fine 59 ° 17 ′ 730 1485487 84757 3 rem . 8598522751 fine 59 ° 18 ...
Side 24
... follows more- over , that the peri- phery of a great - cir- cle is every where 90 degrees diftant from its pole ; and that the measure of a spherical angle CAD is an arch of a great - circle inter- cepted by the two circles ACB , ADB ...
... follows more- over , that the peri- phery of a great - cir- cle is every where 90 degrees diftant from its pole ; and that the measure of a spherical angle CAD is an arch of a great - circle inter- cepted by the two circles ACB , ADB ...
Side 26
... follows , that the fines of the angles of any oblique fpherical triangles ADC are to one another , directly , as the fines of the oppofite fides . For D BC } by the For let BC be perpendicular 26 Spherical Trigonometry .
... follows , that the fines of the angles of any oblique fpherical triangles ADC are to one another , directly , as the fines of the oppofite fides . For D BC } by the For let BC be perpendicular 26 Spherical Trigonometry .
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