An Introduction to Algebra Upon the Inductive Method of InstructionHilliard, Gary, Little, and Wilkins, 1829 - 276 σελίδες |
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Σελίδα 68
... third power , at the fourth power , & c . To preserve a uni- formity , a , without an exponent , is considered the same as a ' . which is called the first power of a . * Figures as well as letters may have exponents . The first power of ...
... third power , at the fourth power , & c . To preserve a uni- formity , a , without an exponent , is considered the same as a ' . which is called the first power of a . * Figures as well as letters may have exponents . The first power of ...
Σελίδα 79
... power of the sum of two numbers , is equal to the sum of the second powers of the two numbers , added to twice the product of the two numbers . Multiply a - b by a -- b ... third power XIII . 79 Multiplication of Compound Quantities .
... power of the sum of two numbers , is equal to the sum of the second powers of the two numbers , added to twice the product of the two numbers . Multiply a - b by a -- b ... third power XIII . 79 Multiplication of Compound Quantities .
Σελίδα 80
Warren Colburn. This is expressed in words thus : the third power of the first , plus three times the second power of the first into the second , plus three times the first into the second power of the second , plus the third power of ...
Warren Colburn. This is expressed in words thus : the third power of the first , plus three times the second power of the first into the second , plus three times the first into the second power of the second , plus the third power of ...
Σελίδα 100
... three terms from the dividend , and there remains 6 a3 b — 1 1 a2 b2 + 6 a b3 — ba . which does not depend at all on ... power of a in the quotient . This gives for the quotient + 3 a b . I multiply each term of the divisor by this , and ...
... three terms from the dividend , and there remains 6 a3 b — 1 1 a2 b2 + 6 a b3 — ba . which does not depend at all on ... power of a in the quotient . This gives for the quotient + 3 a b . I multiply each term of the divisor by this , and ...
Σελίδα 134
... power of 27 . We observe , 1st . When the root or first power consists of two figures , the second power consists of ... three places , is 10000. Hence , when the root consists of one figure , the se- cond power cannot exceed two figures ; ...
... power of 27 . We observe , 1st . When the root or first power consists of two figures , the second power consists of ... three places , is 10000. Hence , when the root consists of one figure , the se- cond power cannot exceed two figures ; ...
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Άλλες εκδόσεις - Προβολή όλων
An Introduction to Algebra: Upon the Inductive Method of Instruction Warren Colburn Πλήρης προβολή - 1837 |
An Introduction to Algebra Upon the Inductive Method of Instruction Warren Colburn Πλήρης προβολή - 1826 |
An Introduction to Algebra Upon the Inductive Method of Instruction Warren Colburn Πλήρης προβολή - 1831 |
Συχνά εμφανιζόμενοι όροι και φράσεις
12 rods 3d power 3d root 5th power A's share a² b² a² b³ added algebra algebraic quantities apples approximate root arithmetic becomes binomial Binomial Theorem bought breadth bushels cents apiece coefficient compound interest compound quantities contain decimal denominator difference divide the number dividend divisor equal equation example exponent expressed factor figure formula found by multiplying fourth fraction gallons gives greater Hence horse length less Let the learner letter logarithm merator miles multiplicand number of dollars number of terms observe pears quan question quotient remainder required to find rods rule second power second root second term shillings sold subtracted Suppose third power third root tities Transposing twice unknown quantity whole number yards zero
Δημοφιλή αποσπάσματα
Σελίδα 2 - District Clerk's Office. BE IT REMEMBERED, That on the twenty-fourth day of June, AD 1825, in the forty-ninth year of the Independence of the United States o"f America, WARREN COLBDRS, of the said district, has deposited in this office the title of a book, the right whereof he claims as author, in the words following, to wit : — " An Introduction to Algebra, upon the Inductive Method of Instruction.
Σελίδα 101 - 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.
Σελίδα 92 - It will be seen by the above section that if both the numerator and denominator be multiplied by the same number, the value of the fraction will not be altered...
Σελίδα 2 - States entitled an act for the encouragement of learning hy securing the copies of maps, charts and books to the author., and proprietors of such copies during the times therein mentioned, and also to an act entitled an act supplementary to an act, entitled an act for the encouragement of learning by securing the copies of maps, charts and books to the authors and proprietors of such copies during the times therein mentioned and extending the benefits thereof to the arts of designing, engraving and...
Σελίδα 44 - A and B have the same income; A saves £ of his ; but B, by spending $ 30...
Σελίδα 271 - The same sum put out at the same rate for 15 months amounts to 792.1875. Required the sum and the rate per cent. 25. From two casks of equal size are drawn quantities which are in the proportion of 5 to 8 ; and it appears that if 20...
Σελίδα 96 - To divide a whole number by a fraction, — Multiply the dividend by the denominator of the fraction, and divide the product by the numerator.
Σελίδα 174 - From two places at a distance of 320 miles, two persons, A and B, set out at the same time to meet each other. A travelled 8 miles a day more than B, and the number of days in which they met was equal to half the number of miles B went in a day. How many miles did each travel, and how far per day ? 20.
Σελίδα 274 - The fore wheel of a carriage makes 6 revolutions more than the hind wheel, in going 120 yards ; but if the circumference of each wheel be increased...
Σελίδα 35 - ... dollars. How many days did he work, and how many days was he idle ? Ans.