A Course of Mathematics: In Two Volumes. For the Use of the Royal Military Academy, Volume 1Gilberte and Rivington, 1841 - Mathematics |
From inside the book
Results 6-10 of 90
Page 250
... base a . It is more usual to write n instead of N 1 ( a - 1 ) · 1⁄2 ( a − 1 ) 2 + } } ( a - 1 ) 3 ... { { - a 1 , and M. instead of and this reduces the expression to x = log . ( 1 + n ) = M. { n — n2 + } n3 — ‡ n2 + .... } - This ...
... base a . It is more usual to write n instead of N 1 ( a - 1 ) · 1⁄2 ( a − 1 ) 2 + } } ( a - 1 ) 3 ... { { - a 1 , and M. instead of and this reduces the expression to x = log . ( 1 + n ) = M. { n — n2 + } n3 — ‡ n2 + .... } - This ...
Page 251
... base e , or modulus 1 , are called napierean , from their inventor Lord Napier . They are also often called hyperbolic logarithms , from an analogy which exists between them and the spaces con- tained by the rectangular hyperbola and ...
... base e , or modulus 1 , are called napierean , from their inventor Lord Napier . They are also often called hyperbolic logarithms , from an analogy which exists between them and the spaces con- tained by the rectangular hyperbola and ...
Page 252
... base , as where a = 10 . Here M10 = 43429448 . log 10 N log , N ' Put N10 : then M10 = log10 10 log , 10 1 = 2.3025851 Hence M10 log , 2 = log10 2 = · 43429448 × 6931472 = · 3010300 M10 log , 3 = log10 343429448 × 10986123 = 4771213 M10 ...
... base , as where a = 10 . Here M10 = 43429448 . log 10 N log , N ' Put N10 : then M10 = log10 10 log , 10 1 = 2.3025851 Hence M10 log , 2 = log10 2 = · 43429448 × 6931472 = · 3010300 M10 log , 3 = log10 343429448 × 10986123 = 4771213 M10 ...
Page 254
... base a = 10 . 2. The common , or Briggs's logarithms , are given , characteristics and mantissæ , for the numbers from 1 to 100 in Table 1 , p . 2. These occupy the first two pairs of columns . The numbers from 100 to 999 occupy to the ...
... base a = 10 . 2. The common , or Briggs's logarithms , are given , characteristics and mantissæ , for the numbers from 1 to 100 in Table 1 , p . 2. These occupy the first two pairs of columns . The numbers from 100 to 999 occupy to the ...
Page 259
... base by the index of the power : the product is the log . of the power . Raise 09163 to the 4th power . log 09163 2.9620377 EXAMPLES . Or , in a more illustrative form , log ' 09163 = -2 +9620377 - index = 4 5.S481508 460 48 4 838481508 ...
... base by the index of the power : the product is the log . of the power . Raise 09163 to the 4th power . log 09163 2.9620377 EXAMPLES . Or , in a more illustrative form , log ' 09163 = -2 +9620377 - index = 4 5.S481508 460 48 4 838481508 ...
Other editions - View all
Common terms and phrases
ABCD algebraic altitude arithmetical arithmetical progression base bisect breadth centre chord circle circumference coefficients common cone cosec cube root decimal denominator denoted diagonal diameter difference dihedral angle distance divided divisor draw drawn equal equation equiangular EXAMPLES expression figure fraction frustum geometrical given line greater hence inscribed integer intersection join length less lineation logarithms mantissa measure meeting method multiplied parallel parallel ruler parallelogram perpendicular plane polygon prism PROBLEM proportional quantity quotient radii radius ratio rectangle Reduce right angles rule Scholium segment sides sine solid angle solution square root straight line subtraction tangent THEOREM third trapezium triangle ABC u₁ vulgar fraction Whence