A New Introduction to the Science of Algebra... |
From inside the book
Results 1-5 of 43
Page iii
... perform operations upon num- bers , by rules , the principles of which , he is rarely required to investigate , and which , for the most part , the books that are put into his hands , do not even profess to demonstrate . He thus begins ...
... perform operations upon num- bers , by rules , the principles of which , he is rarely required to investigate , and which , for the most part , the books that are put into his hands , do not even profess to demonstrate . He thus begins ...
Page 25
... performed mentally , instead of being written out at length . EXAMPLES . Divide 8834679 by 3 , 3 ) 8834679 2944893 the quotient . Divide 973624793 by 7 . Ans . 1390892564 . Divide 17346235782 by 8 . Ans . 21682794729 . Divide 936237021 ...
... performed mentally , instead of being written out at length . EXAMPLES . Divide 8834679 by 3 , 3 ) 8834679 2944893 the quotient . Divide 973624793 by 7 . Ans . 1390892564 . Divide 17346235782 by 8 . Ans . 21682794729 . Divide 936237021 ...
Page 30
... performed ( 21 ) by multiplying the denomina- tor of the multiplicand . Thus , in multiplying by , the product of by 4 is 12 , which is five times too large ; for each of the units in 4 is but the fifth part of the unit of which is a ...
... performed ( 21 ) by multiplying the denomina- tor of the multiplicand . Thus , in multiplying by , the product of by 4 is 12 , which is five times too large ; for each of the units in 4 is but the fifth part of the unit of which is a ...
Page 43
... performing the multiplication , be- 5 × 4 20 in like manner we obtain 3 for the multi- 12 × 4 48 comes - plier of the second fraction , which becomes 7 × 3 21 16 × 3 48 The least number which can be divided , by several other numbers ...
... performing the multiplication , be- 5 × 4 20 in like manner we obtain 3 for the multi- 12 × 4 48 comes - plier of the second fraction , which becomes 7 × 3 21 16 × 3 48 The least number which can be divided , by several other numbers ...
Page 78
... performed upon the proportion above , we have , by reducing the fractions a с and to a common denomi- tor , b d ax d cx b = bxd b x d In this , as in the former case , the fractions being equal , and the denominators the same , the ...
... performed upon the proportion above , we have , by reducing the fractions a с and to a common denomi- tor , b d ax d cx b = bxd b x d In this , as in the former case , the fractions being equal , and the denominators the same , the ...
Other editions - View all
Common terms and phrases
2ab+b² 2d power 4th power a²b² a²x added algebraic quantity antecedents Arith arithmetical progression ax² cent Clearing of fractions coefficient common denominator common difference contained continued fraction cube root decimal fraction dividend division dollars evident EXAMPLES exponent expression Extract the cube Extract the square extracting the root factors Find the greatest Find the sum find the value fourth geometrical progression given number gives greater greatest common divisor hence improper fraction last term least common multiple less letters logarithms lowest terms mean terms multiplicand Multiply nator nth root number of terms obtain operation polynomial Prod quan quotient ratio remainder required to find result simple fraction square root subtractive terms tens third power tion tity Transposing and reducing unity unknown quantity Va² vulgar fraction whence whole number writing written
Popular passages
Page 268 - A put four horses, and B as many as cost him 18 shillings a week. Afterwards B put in two additional horses, and found that he must pay 20 shillings a week. At what rate was the pasture hired ? 49.
Page 136 - Reduce compound fractions to simple ones, and mixt numbers to improper fractions ; then multiply the numerators together for a new numerator, and the denominators for. a new denominator.
Page 167 - B with $96. A lost twice as much as B; and, upon settling their accounts, it appeared that A had three times as much remaining as B. How much did each lose ? Ans. A lost $96, and B lost $48.
Page 73 - The first term of a ratio is called the antecedent, and the second term the consequent.
Page 78 - In any proportion, the product of the means is equal to the product of the extremes.
Page 91 - If a footman travel 130 miles in 3 days, when the days are 12 hours long; in how many days, of 10 hours each, may he travel 360 miles ? Ans.
Page 277 - A and B 165 miles distant from each other set out with a design to meet; A travels 1 mile the first day, 2 the second, 3 the third, and so on.
Page 88 - If 248 men, in 5 days, of 11 hours each, can dig a trench 230 yards long, 3 wide...
Page 161 - It is required to divide the number 99 into five such parts, that the first may exceed the second by 3, be less than the third by 10, greater than the fourth by 9, and less than the fifth by 16.
Page 267 - A and B set off at the same time, to a place at the distance of 150 miles. A travels 3 miles an hour faster than B, and arrives at his journey's end 8 hours and 20 minutes before him.