A Course of Mathematics: Composed for the Use of the Royal Military Academy |
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Page 329
... base , and the two parallel rows at the top and opposite side of the base ; hence we have also this general rule , which , as well as the formulæ , should be committed to memory . Rule . - Add to the number of balls or shells in one ...
... base , and the two parallel rows at the top and opposite side of the base ; hence we have also this general rule , which , as well as the formulæ , should be committed to memory . Rule . - Add to the number of balls or shells in one ...
Page 335
... BASE of the system , and the exponent of that power of the base which is equal to any given number is called the LOGARITHM of that number . Thus , if a be the base of a system of logarithms , N any number , and a such that N = a * then ...
... BASE of the system , and the exponent of that power of the base which is equal to any given number is called the LOGARITHM of that number . Thus , if a be the base of a system of logarithms , N any number , and a such that N = a * then ...
Page 336
... respective logarithms , a the base of the system . Then , by definition , N = a X N ' a " .. L. Multiply equations ( 1 ) and ( 2 ) together , . ( 1 ) . ( 2 ) NN ' = a * a * = a2 + x .. by definition , x + a ' is the 336 ALGEBRA .
... respective logarithms , a the base of the system . Then , by definition , N = a X N ' a " .. L. Multiply equations ( 1 ) and ( 2 ) together , . ( 1 ) . ( 2 ) NN ' = a * a * = a2 + x .. by definition , x + a ' is the 336 ALGEBRA .
Page 338
... base is 1 . II . If the base be 1 , the logarithms of numbers > 1 are positive , and the logarithms of numbers 1 are negative . The contrary takes place if the base be 1 . III . The base being fixed , any number has only one real ...
... base is 1 . II . If the base be 1 , the logarithms of numbers > 1 are positive , and the logarithms of numbers 1 are negative . The contrary takes place if the base be 1 . III . The base being fixed , any number has only one real ...
Page 340
... base a , we can easily change the system , and calculate another table for a new base b . Let c = b , x is the log . of c in the system whose base is } ; Taking the logs . in the known system , whose base is a , we have x = log c log ...
... base a , we can easily change the system , and calculate another table for a new base b . Let c = b , x is the log . of c in the system whose base is } ; Taking the logs . in the known system , whose base is a , we have x = log c log ...
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Common terms and phrases
algebraic axis bisected called centre circle circumference coefficient contained Corol cosec cosine cube root curve decimal denominator denote diameter difference differential co-efficient distance Divide dividend division divisor draw dy dx equal EXAMPLES exponent expression extract factors feet figure fraction given number greater greatest common measure Hence hyperbola inches latus rectum least common multiple logarithm manner monomial multiply negative nth root number of terms parallel parallelogram perpendicular plane polynomial positive Prob problem Prop proportional proposed equation quotient radius ratio rectangle Reduce remainder right angles rule sides sine square root straight line Substituting subtract tangent Taylor's theorem THEOREM unknown quantity VULGAR FRACTIONS whole number yards