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 15
Side 14
... common difference BC , or CD , fo is the fine CF , of the mean , to half the fum of the fines BE4DG , of the two extremes : and , as radius to the fine of the common difference , fo is the co - fine FO of the mean , to half the ...
... common difference BC , or CD , fo is the fine CF , of the mean , to half the fum of the fines BE4DG , of the two extremes : and , as radius to the fine of the common difference , fo is the co - fine FO of the mean , to half the ...
Side 15
... common difference , and the fine of either extreme be fubtracted from the product , the remainder will be the fine of the other extreme . 2. The fine of any arch , above 60 degrees , is equal to the fine of another arch , as much below ...
... common difference , and the fine of either extreme be fubtracted from the product , the remainder will be the fine of the other extreme . 2. The fine of any arch , above 60 degrees , is equal to the fine of another arch , as much below ...
Side 17
... common purposes . SCHOLIUM . Although what has been hitherto laid down for conftructing the trigonometrical - canon , is abun- dantly fufficient for that purpose , and is also very eafily demonftrated ; yet , as the first fine , from ...
... common purposes . SCHOLIUM . Although what has been hitherto laid down for conftructing the trigonometrical - canon , is abun- dantly fufficient for that purpose , and is also very eafily demonftrated ; yet , as the first fine , from ...
Side 22
... to examine thofe already extant , will not find one quarter of the trouble , this way , as he unavoidably muft according to the common methods . Spherical Trigonometry . 1 . A DEFINITION S. Great - 22 Conftruction of the Table , & c .
... to examine thofe already extant , will not find one quarter of the trouble , this way , as he unavoidably muft according to the common methods . Spherical Trigonometry . 1 . A DEFINITION S. Great - 22 Conftruction of the Table , & c .
Side 27
... common , the tangents of the hypothenuses are to each other , inversely , as the co - fines of the adjacent angles . - For radius : co - fine ACB :: tan . AC : tan . { BC ? fince radius : co - fine DCB :: tan . DC : tan . BCS by the ...
... common , the tangents of the hypothenuses are to each other , inversely , as the co - fines of the adjacent angles . - For radius : co - fine ACB :: tan . AC : tan . { BC ? fince radius : co - fine DCB :: tan . DC : tan . BCS by the ...
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