A New Introduction to the Science of Algebra ...F. J. Huntington, 1836 - 304 σελίδες |
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Σελίδα iii
... hands , do not even profess to demonstrate . He thus begins the study of algebra , unacquainted with the first principles of mathematical science , and finds himself per- plexed at the same time with a kind of reasoning , to which he is ...
... hands , do not even profess to demonstrate . He thus begins the study of algebra , unacquainted with the first principles of mathematical science , and finds himself per- plexed at the same time with a kind of reasoning , to which he is ...
Σελίδα iv
... hand , a treatise on arithmetic to which he can refer , when he would recall some principle which he may have forgotten . It was the author's intention , that the treatise on algebra should be eminently practical , and for this purpose ...
... hand , a treatise on arithmetic to which he can refer , when he would recall some principle which he may have forgotten . It was the author's intention , that the treatise on algebra should be eminently practical , and for this purpose ...
Σελίδα 14
... hand column , and see how many tens are contained in that sum ; set down the excess above the tens , and carry one for every ten to the next column . Proceed in the same man- ner with all the other columns to the last , and under it set ...
... hand column , and see how many tens are contained in that sum ; set down the excess above the tens , and carry one for every ten to the next column . Proceed in the same man- ner with all the other columns to the last , and under it set ...
Σελίδα 16
... hand figure in the minuend had been less than the figure immediately below it in the subtrahend , the sub- traction would have been impossible , since there are no figures to the left from which to borrow . Indeed , in that case , the ...
... hand figure in the minuend had been less than the figure immediately below it in the subtrahend , the sub- traction would have been impossible , since there are no figures to the left from which to borrow . Indeed , in that case , the ...
Σελίδα 18
... hand figure of the multiplicand , and , beginning at the right , multiply each figure of the multiplicand by the multiplier . Set down , in the product , the excess above the tens , and carry the tens as in addition , adding them to the ...
... hand figure of the multiplicand , and , beginning at the right , multiply each figure of the multiplicand by the multiplier . Set down , in the product , the excess above the tens , and carry the tens as in addition , adding them to the ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
2d power a²+2ab+b² a²b² a²x ab² added algebraic quantity Arith arithmetical progression ax² becomes Clearing of fractions coefficient common denominator common difference contained continued fraction cube root decimal fraction Divide the numerator dividend division equation evident EXAMPLES exponent expressed Extract the square extracting the root factors Find the greatest Find the sum find the value geometrical progression given number gives greater greatest common divisor hence improper fraction last term least common multiple letters logarithms lowest terms merator mixed number multiplicand Multiply nator nth root number of terms operation orders of units polynomials Prod quan quotient radical ratio remainder required to find result simple fraction square root subtractive terms tens tion tity unity unknown quantity vulgar fraction whence whole number writing written
Δημοφιλή αποσπάσματα
Σελίδα 117 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Σελίδα 178 - If A and B together can perform a piece of work in 8 days, A and C together in 9 days, and B and C in 10 days : how many days would it take each person to perform the same work alone ? Ans.
Σελίδα 70 - ... and to the remainder bring down the next period for a dividend. 3. Place the double of the root already found, on the left hand of the dividend for a divisor. 4. Seek how often the divisor is contained...
Σελίδα 161 - 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.
Σελίδα 132 - 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.
Σελίδα 63 - To divide a Decimal by 10, 100, 1000, &c., remove the decimal point as many places to the left as there are ciphers in the divisor...
Σελίδα 73 - The first term of a ratio is called the antecedent, and the second term the consequent.
Σελίδα 78 - In any proportion, the product of the means is equal to the product of the extremes.
Σελίδα 262 - A and B hired a pasture, into which A put 4 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? Ans.
Σελίδα 60 - Multiply as in whole numbers, and from the right hand of the product point off as many figures for decimals as there are decimal places in both factors.