A New Introduction to the Science of Algebra ...F. J. Huntington, 1836 - 304 σελίδες |
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Σελίδα 9
... means of mea- suring quantity , and hence is called the science of quantity . A quantity cannot be great or small , much or little in it- self ; it is only by comparing it with another quantity of the same kind that it becomes so . Thus ...
... means of mea- suring quantity , and hence is called the science of quantity . A quantity cannot be great or small , much or little in it- self ; it is only by comparing it with another quantity of the same kind that it becomes so . Thus ...
Σελίδα 73
... mean terms ; or simply , the extremes and means . ARITHMETICAL PROPORTIONS . ( 59. ) An arithmetical ratio being the difference of two numbers , and an arithmetical proportion expressing an equality between two ratios ; it follows ...
... mean terms ; or simply , the extremes and means . ARITHMETICAL PROPORTIONS . ( 59. ) An arithmetical ratio being the difference of two numbers , and an arithmetical proportion expressing an equality between two ratios ; it follows ...
Σελίδα 74
... means . The letters of the alphabet are here introduced to accustom the pupil to their use , preparatory to his entering upon the study of Algebra . He will easily perceive , that they are here subjected to the same arithmetical ...
... means . The letters of the alphabet are here introduced to accustom the pupil to their use , preparatory to his entering upon the study of Algebra . He will easily perceive , that they are here subjected to the same arithmetical ...
Σελίδα 75
... mean terms , and subtract the other extreme ; if it be a mean term , add the extremes and subtract the given mean . Let there be the arithmetical proportion 19-723 · - and we shall have for the fourth term , 723-19 = 30-19 = 11 . In the ...
... mean terms , and subtract the other extreme ; if it be a mean term , add the extremes and subtract the given mean . Let there be the arithmetical proportion 19-723 · - and we shall have for the fourth term , 723-19 = 30-19 = 11 . In the ...
Σελίδα 78
... mean terms ; hence , in every ge- ometrical proportion , the product of the means is equal to the product of the extremes . The proof is independent of the particular numbers which enter into the proportion , as may be shown by the use ...
... mean terms ; hence , in every ge- ometrical proportion , the product of the means is equal to the product of the extremes . The proof is independent of the particular numbers which enter into the proportion , as may be shown by the use ...
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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.