A New Introduction to the Science of Algebra ...F. J. Huntington, 1836 - 304 σελίδες |
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Σελίδα iv
... fourth ; and the same reasoning applied to them , which immediately before , had been applied to the numbers themselves , thus preparing the way for the use of algebraic symbols , and making the tran- sition from arithmetic to algebra ...
... fourth ; and the same reasoning applied to them , which immediately before , had been applied to the numbers themselves , thus preparing the way for the use of algebraic symbols , and making the tran- sition from arithmetic to algebra ...
Σελίδα 11
... fourth order . A number may consist of units of more than one order , and then the places of the O's are supplied by significant figures . For example , the number three hundred and fifty - six has six units of the first order , five of ...
... fourth order . A number may consist of units of more than one order , and then the places of the O's are supplied by significant figures . For example , the number three hundred and fifty - six has six units of the first order , five of ...
Σελίδα 12
... fourth , billions ; and in the fifth , trillions ; and hence in writing numbers , it is usual to divide the figures into periods of three each , as follows : 412,374,961,243,987 . To express a number which does not contain units of ...
... fourth , billions ; and in the fifth , trillions ; and hence in writing numbers , it is usual to divide the figures into periods of three each , as follows : 412,374,961,243,987 . To express a number which does not contain units of ...
Σελίδα 74
... fourth is less than the third , may be put in the place of the letters ; and all that we have proved of the letters , will be true of the numbers . Suppose a = 21 , b = 12 , c = 19 , and d = 10 ; then 21-12-19-10 ; and since we had a + ...
... fourth is less than the third , may be put in the place of the letters ; and all that we have proved of the letters , will be true of the numbers . Suppose a = 21 , b = 12 , c = 19 , and d = 10 ; then 21-12-19-10 ; and since we had a + ...
Σελίδα 75
... fourth term , 723-19 = 30-19 = 11 . In the proportion 13—5 —.— 12 , the third term is found by adding the extremes , and subtracting the known mean terms ; thus , 13 + 12-525-520 , the third term , and we have the complete proportion ...
... fourth term , 723-19 = 30-19 = 11 . In the proportion 13—5 —.— 12 , the third term is found by adding the extremes , and subtracting the known mean terms ; thus , 13 + 12-525-520 , the third term , and we have the complete proportion ...
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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.