A New Introduction to the Science of Algebra ...F. J. Huntington, 1836 - 304 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 65.
Σελίδα 10
... adding unity to it successively , the number of terms would also increase without limit . To obviate this difficulty , a nomenclature has been de- vised in which , by the use of a small number of terms pro- perly combined , and subject ...
... adding unity to it successively , the number of terms would also increase without limit . To obviate this difficulty , a nomenclature has been de- vised in which , by the use of a small number of terms pro- perly combined , and subject ...
Σελίδα 13
... added to 8 . - 6 4 denotes that 4 is to be subtracted from 6 . 7x3 or 7.3 denotes that 7 is to be multiplied by 3 . 164 or 6 denotes that 16 is to be divided by 4 . 9 : 6 = 12 : 8 , shows that 9 is to 6 as 12 is to 8 . 8+ 4 = 12 shows ...
... added to 8 . - 6 4 denotes that 4 is to be subtracted from 6 . 7x3 or 7.3 denotes that 7 is to be multiplied by 3 . 164 or 6 denotes that 16 is to be divided by 4 . 9 : 6 = 12 : 8 , shows that 9 is to 6 as 12 is to 8 . 8+ 4 = 12 shows ...
Σελίδα 14
... adding them in the sum of the next column . The annexed example illustrates this principle . 41642 53841 37159 12 13 15 11 12 132642 In this ... added to the next column . EXAMPLES . 23141 +31811 +98365 +372 +19 = 71134627 + 14 ARITHMETIC .
... adding them in the sum of the next column . The annexed example illustrates this principle . 41642 53841 37159 12 13 15 11 12 132642 In this ... added to the next column . EXAMPLES . 23141 +31811 +98365 +372 +19 = 71134627 + 14 ARITHMETIC .
Σελίδα 15
... adding the figures in a contrary direction , or by cutting off by a line the upper num- ber , and taking the sum of all ... added to the minuend . Demonstration of the Rule . — To show the correctness of this rule , we remark that the ...
... adding the figures in a contrary direction , or by cutting off by a line the upper num- ber , and taking the sum of all ... added to the minuend . Demonstration of the Rule . — To show the correctness of this rule , we remark that the ...
Σελίδα 16
... added to 2 , gives 12 , from which 5 can be subtracted . The remainder 7 is written below , and I proceed to the next place of figures to the left . Now since 1 was borrowed from 9 , I may either consider it diminished by one , and take ...
... added to 2 , gives 12 , from which 5 can be subtracted . The remainder 7 is written below , and I proceed to the next place of figures to the left . Now since 1 was borrowed from 9 , I may either consider it diminished by one , and take ...
Άλλες εκδόσεις - Προβολή όλων
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.