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 5
Side 38
... natural numbers 2 , 3 , 4 , 5 , & c . as to per- form the fame things by addition and subtraction , only , as thefe do by multiplication and division : 1 fhall here , for the fake of the young beginner ( for whom this finall tract is ...
... natural numbers 2 , 3 , 4 , 5 , & c . as to per- form the fame things by addition and subtraction , only , as thefe do by multiplication and division : 1 fhall here , for the fake of the young beginner ( for whom this finall tract is ...
Side 39
... natural numbers , 2 , 3 , 4 , 5 , 6 , 7 , & c . Then are the indices of thofe terms called lo- garithms of the numbers to which the terms them Jerves are equal . Thus , if " 2 , and a " = 3 , then will m and n be logarithms of the ...
... natural numbers , 2 , 3 , 4 , 5 , 6 , 7 , & c . Then are the indices of thofe terms called lo- garithms of the numbers to which the terms them Jerves are equal . Thus , if " 2 , and a " = 3 , then will m and n be logarithms of the ...
Side 40
... natural number agree- ing with any term + e " of the logarithmic pro- greffion 1 , + e , I + el2 , i + el ' , i + eft , & c . will be expreffed by ne . PROPOSITION I. The hyperbolic logarithm ( L ) of a number being gi- ven to find the ...
... natural number agree- ing with any term + e " of the logarithmic pro- greffion 1 , + e , I + el2 , i + el ' , i + eft , & c . will be expreffed by ne . PROPOSITION I. The hyperbolic logarithm ( L ) of a number being gi- ven to find the ...
Side 42
... natural , is of little ufe in determining the loga- rithms of large numbers ; fince , in all fuch cafes , it diverges , inftead of converging . It will be proper , therefore , to give , here , the invention of other methods , which ...
... natural , is of little ufe in determining the loga- rithms of large numbers ; fince , in all fuch cafes , it diverges , inftead of converging . It will be proper , therefore , to give , here , the invention of other methods , which ...
Side 51
... natural numbers ( See p . 38 , 39. ) we have log . BC = log . fine 35 ° 20 ′ + log . 17910— log . radius . But , by the tables of artificial , or logarithmic , fines * , the log . fine of 35 ° 20 ′ will appear to be 9,7621775 ; to which ...
... natural numbers ( See p . 38 , 39. ) we have log . BC = log . fine 35 ° 20 ′ + log . 17910— log . radius . But , by the tables of artificial , or logarithmic , fines * , the log . fine of 35 ° 20 ′ will appear to be 9,7621775 ; to which ...
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