Trigonometry: Plane and Spherical; with the Construction and Application of Logarithms. By Thomas Simpson, F.R.S. |
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Side 38
A S the business of trigonometry is wonder , the lo . garithms ; which are a set of
artificial numbers , fa proportioned among themfelves and adapted to the natural
numbers 2 , 3 , 4 , 5 , & c . as to perform the same things by addition and ...
A S the business of trigonometry is wonder , the lo . garithms ; which are a set of
artificial numbers , fa proportioned among themfelves and adapted to the natural
numbers 2 , 3 , 4 , 5 , & c . as to perform the same things by addition and ...
Side 39
... natural numbers , 2 , 3 , 4 , 5 , 6 , 7 , & c . Then are the indices of those terms
called low garithms of the numbers to which ebe terms them . felves are equal .
Thus , if an = 2 , and a " = 3 , then will m and n be logarithms of the numbers 2
and 3 ...
... natural numbers , 2 , 3 , 4 , 5 , 6 , 7 , & c . Then are the indices of those terms
called low garithms of the numbers to which ebe terms them . felves are equal .
Thus , if an = 2 , and a " = 3 , then will m and n be logarithms of the numbers 2
and 3 ...
Side 40
Thus , if e be an indefinite small quantity , the hyperbolic logarithm of the natural
number agreeing with any term ite ] " of the logarithmic progression i , 5 + e , 1 +
el , i + el , it et , & c . will be expressed by ne . PROPOSITION I. The hyperbolic ...
Thus , if e be an indefinite small quantity , the hyperbolic logarithm of the natural
number agreeing with any term ite ] " of the logarithmic progression i , 5 + e , 1 +
el , i + el , it et , & c . will be expressed by ne . PROPOSITION I. The hyperbolic ...
Side 42
712x4 C & c . whence - ( = ne = L ) = * & 3 404 + + & c , the very fame as be3 4
fore , 2 e 4 n12 ادامه دهم 1 1 But this series , tho ' indeed the most eafy and natural ,
is of little use in determining the logarithms of large numbers ; since , in all such ...
712x4 C & c . whence - ( = ne = L ) = * & 3 404 + + & c , the very fame as be3 4
fore , 2 e 4 n12 ادامه دهم 1 1 But this series , tho ' indeed the most eafy and natural ,
is of little use in determining the logarithms of large numbers ; since , in all such ...
Side 51
we have BC –sine 35 ° 20'x17910 radius therefore , because the addition and
fubtraction of logarithms answers to the multiplication and division of the natural
numbers ( fee . p . 38 , 39. ) we have log . BC = log . fine 35 ° 20 ' + log . 17910 -
log ...
we have BC –sine 35 ° 20'x17910 radius therefore , because the addition and
fubtraction of logarithms answers to the multiplication and division of the natural
numbers ( fee . p . 38 , 39. ) we have log . BC = log . fine 35 ° 20 ' + log . 17910 -
log ...
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