The Projection And Calculation of the Sphere for Young Sea Officers Being a ...
The Projection And Calculation of the Sphere for Young Sea Officers Being a ...
S. M. Saxby
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disj. x cos of other ext. disj. radius. Now, before proceeding, let us consider what is meant by this equation, and why it was further altered into rule c (88). We have already shown that multiplication is per- formed in logarithms by addition ; and division by subtrac- tion ; and in the fraction standing on the right side of the sign of equation, there are two quantities to be multiplied, and a quantity which is to divide their product. We there- fore add the logarithms of the two factors in t...he nume- rator from the sum and subtract the logarithm of the denominator. 92a In a proportion worked by logarithms it is better to place the terms vertically (putting^ the divisor as the first term), thus : — As radius is to cos extreme disjunct, so is cos of the other extreme disjunct to the sine of the middle part (Remember old Dr. Kelly's Hibernian rhyme: — ) " Now the product of radius and middle part sine, Equals that of the tangents of parts that combine, And also the cosines of those that dis/otn.") F 2 Digitized by CjOOQ IC 68 NAUTICAL ASTEONOMT.
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