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
Side 9
... gives the following Theorem , for finding the an- gles oppofite to any two propofed fides ; the in- . cluded angle , and the fides themfelves , being known . As the leffer of the propofed fides ( Ab or AB ) is to the greater ( AC ) , fo ...
... gives the following Theorem , for finding the an- gles oppofite to any two propofed fides ; the in- . cluded angle , and the fides themfelves , being known . As the leffer of the propofed fides ( Ab or AB ) is to the greater ( AC ) , fo ...
Side 11
... gives the two angles . Two fides The other Let the angles be found by 5 AC , AB and fide BC the laft cafe , and then BC . the incl A. 6 by cafe 1 . All the three An angle , Let fall a perp . BD opp . to the fides . fuppofe Areq . angle ...
... gives the two angles . Two fides The other Let the angles be found by 5 AC , AB and fide BC the laft cafe , and then BC . the incl A. 6 by cafe 1 . All the three An angle , Let fall a perp . BD opp . to the fides . fuppofe Areq . angle ...
Side 17
... give the firft fix places true in each number ; which is fuffi- ciently exact for all common purposes . SCHOLIUM . Although what has been hitherto laid down for conftructing the trigonometrical - canon , is abun- dantly fufficient for ...
... give the firft fix places true in each number ; which is fuffi- ciently exact for all common purposes . SCHOLIUM . Although what has been hitherto laid down for conftructing the trigonometrical - canon , is abun- dantly fufficient for ...
Side 18
... give the value of an angle to seconds , and even to thirds , in moft cafes ) then the operation may be as follows : 1. Multiply the fum of the fines of any two adjacent terms of the progreffion 45 ' , 1 ° 30 ' , 2 ° 15 ′ , 3 ° 00 ′ , 3 ...
... give the value of an angle to seconds , and even to thirds , in moft cafes ) then the operation may be as follows : 1. Multiply the fum of the fines of any two adjacent terms of the progreffion 45 ' , 1 ° 30 ' , 2 ° 15 ′ , 3 ° 00 ′ , 3 ...
Side 19
... gives , 00000011 for a 2d product ; which added to , co02903815 , part of the difference of the two given ex- tremes , will be , co02904915 , the excefs of the fine of 3 ° or above that of 3 ° 00 ' . From whence , by proceeding ...
... gives , 00000011 for a 2d product ; which added to , co02903815 , part of the difference of the two given ex- tremes , will be , co02904915 , the excefs of the fine of 3 ° or above that of 3 ° 00 ' . From whence , by proceeding ...
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