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... Logarithms 145 CHAPTER XII . Binomial Theorem CHAPTER XIII . • 148 Variations , Permutations , and Combinations . 152 CHAPTER XIV . Compound Interest and Annuities 159 APPENDIX . Scales of Notation , & c . 165 Vanishing Fractions 166 ...
... Logarithms 145 CHAPTER XII . Binomial Theorem CHAPTER XIII . • 148 Variations , Permutations , and Combinations . 152 CHAPTER XIV . Compound Interest and Annuities 159 APPENDIX . Scales of Notation , & c . 165 Vanishing Fractions 166 ...
Page 145
... LOGARITHMS . ... XXVII . If a2 = n , x is called the logarithm of the number n to the base a . In the common system of logarithms , α = 10 , and 0 , 1 , 2 , 3 , 4 x , are the logarithms of the numbers 1 , 10 ; 100 , 1000 ... 10 " ; that ...
... LOGARITHMS . ... XXVII . If a2 = n , x is called the logarithm of the number n to the base a . In the common system of logarithms , α = 10 , and 0 , 1 , 2 , 3 , 4 x , are the logarithms of the numbers 1 , 10 ; 100 , 1000 ... 10 " ; that ...
Page 146
... logarithms of two numbers is the logarithm of their quotient . For an , a3 = n ' ; .. = 3. The logarithm of n " = m log n . n n or at = n For na2 , .. nm = am * ; .. log n TM = mx = m log n . 4. The logarithm of " / n = log n m 1 For n ...
... logarithms of two numbers is the logarithm of their quotient . For an , a3 = n ' ; .. = 3. The logarithm of n " = m log n . n n or at = n For na2 , .. nm = am * ; .. log n TM = mx = m log n . 4. The logarithm of " / n = log n m 1 For n ...
Page 147
... logarithm is 2. Hence , in tables of logarithms , it is usual to omit the characteristic . The logarithm of 1752 is 3.243534 . of 175.2 is 2.243534 . 99 99 99 of 17.52 is 1.243534 . of 1.752 is 0.243534 . of ⚫1752 is of .01752 is & c ...
... logarithm is 2. Hence , in tables of logarithms , it is usual to omit the characteristic . The logarithm of 1752 is 3.243534 . of 175.2 is 2.243534 . 99 99 99 of 17.52 is 1.243534 . of 1.752 is 0.243534 . of ⚫1752 is of .01752 is & c ...
Page 152
... logarithms used by Napier , the inventor of logarithms . XXX .. a + b .. ( a + b ) " : = 1 - a a + b an b + b n an ( 1 - a + b ) " + .. ( a + b ) " = b a " { 1 + n + a + b n ( n + 1 ) 2 b 2 • + ( a 2 + b ) 2 + & c . Art . XXVIII ...
... logarithms used by Napier , the inventor of logarithms . XXX .. a + b .. ( a + b ) " : = 1 - a a + b an b + b n an ( 1 - a + b ) " + .. ( a + b ) " = b a " { 1 + n + a + b n ( n + 1 ) 2 b 2 • + ( a 2 + b ) 2 + & c . Art . XXVIII ...
Common terms and phrases
a²x² ALGEBRA annuity arithmetic mean arithmetic series arithmetical progression b² a² Binomial Theorem C.E. Illustrated C₁ cent cloth boards coefficients common ratio compound interest containing cube root denominator digits Divide divisor Edition ENGINEERING equal Examples expression Extract the square find the number Find the sum fraction gallons geometric mean geometrical progression given greatest common measure harmonic means harmonic series Hence J. F. HEATHER logarithms miles Multiply nth term number of combinations number of shot number of terms number of variations permutations present value Prop quadratic quotient RALPH TATE reciprocal equation remainder Rudimentary Treatise shillings side square pile square root Subtract surd things taken total number unknown quantities Woodcuts x²y
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