Elements of Algebra |
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Page 16
... half of anything x × 12 = 4x , ... 12 times the third of anything 3 = 12 thirds = 4 times the whole of that thing . Hence , when we have to multiply a fraction by a number , we may , if we can , pre- viously divide the multiplier by the ...
... half of anything x × 12 = 4x , ... 12 times the third of anything 3 = 12 thirds = 4 times the whole of that thing . Hence , when we have to multiply a fraction by a number , we may , if we can , pre- viously divide the multiplier by the ...
Page 33
... half the former sum . part of the original income was the diminution ? Let 2x pounds be what he lays by , then 8x is ...... ......... spends ; 2x + 8x = 10x = his original income . Again 8x is still what he spends , X .... lays by ...
... half the former sum . part of the original income was the diminution ? Let 2x pounds be what he lays by , then 8x is ...... ......... spends ; 2x + 8x = 10x = his original income . Again 8x is still what he spends , X .... lays by ...
Page 36
... half ; and that to return from B to A against an equal tide , though he rows back along the shore , where the stream is only three - fifths as strong as in the middle , takes him just two hours and a quarter . It is required from hence ...
... half ; and that to return from B to A against an equal tide , though he rows back along the shore , where the stream is only three - fifths as strong as in the middle , takes him just two hours and a quarter . It is required from hence ...
Page 37
... half the remainder will be equal to the number itself di- minished by 2 ; what is the number ? Ans . 4 . 3 If to the numerator of a certain fraction we add one , its value will be , but if from its denominator we subtract one , its ...
... half the remainder will be equal to the number itself di- minished by 2 ; what is the number ? Ans . 4 . 3 If to the numerator of a certain fraction we add one , its value will be , but if from its denominator we subtract one , its ...
Page 63
... half as strong , in 1 hour ; required the velocity of the strongest tide . Ans . 23 miles per hour . 21. Divide the number 11520 into 3 such parts that 9 times the sum of the first and second shall be equal to 7 times the sum of the ...
... half as strong , in 1 hour ; required the velocity of the strongest tide . Ans . 23 miles per hour . 21. Divide the number 11520 into 3 such parts that 9 times the sum of the first and second shall be equal to 7 times the sum of the ...
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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