## An Introduction to Algebra Upon the Inductive Method of Instruction |

### Αναζήτηση στο βιβλίο

Αποτελέσματα 1 - 5 από τα 17.

Σελίδα 21

In it there were 15

water as both wine and brandy. What quantity was there of each *2 = 2 of

Observe, that after the question is put into equation, the purpose is to make a

stand ...

In it there were 15

**gallons**of wine more than there were of brandy, and as muchwater as both wine and brandy. What quantity was there of each *2 = 2 of

Observe, that after the question is put into equation, the purpose is to make a

stand ...

Σελίδα 24

In a mixture of wine and cider, 25

5

there of each o C. IV. 1. A man having some calves and some sheep, and being ...

In a mixture of wine and cider, 25

**gallons**more than half the whole was wine, and5

**gallons**less than one third of the whole was cider. How many**gallons**werethere of each o C. IV. 1. A man having some calves and some sheep, and being ...

Σελίδα 26

8. A person bought two casks of wine, one of which held exactly three times as

much as the other. From each he drew 4

as many 36 Jłlgebra. . IV. Transposition explained.

8. A person bought two casks of wine, one of which held exactly three times as

much as the other. From each he drew 4

**gallons**, and then there were four timesas many 36 Jłlgebra. . IV. Transposition explained.

Σελίδα 27

4

as in the smaller. How many

number of

4

**gallons**, and then there were four times as many**gallons**remaining in the largeras in the smaller. How many

**gallons**were there in each at first 2 Let a denote thenumber of

**gallons**in the less at first. Then the number of**gallons**in the greater ... Σελίδα 28

A grocer sold his brandy for 25 cents a

of his wine came to as much as 32

...

A grocer sold his brandy for 25 cents a

**gallon**more than his wine, and 37**gallons**of his wine came to as much as 32

**gallons**of his brandy. What was each per**gallon**2. * - * - 21. A man bought 7 oxen and 36 cows; he gave $ 18 apiece more...

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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

1)th term 12 rods 3d power 3d root 5th power a b c A's share added algebra algebraic quantities answer the conditions apples approximate root Arith arithmetic becomes binomial Binomial Theorem bought breadth bushels cº-H 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 geometrical progression gives greater Hence length less Let a denote Let the learner letter logarithm merator miles multiplicand number of dollars number of sheep number of terms observe pears question quotient remainder required to find rule second power second root second term shillings sold subtracted Suppose third power third root Transposing twice unknown quantity whole number yards zero

### Δημοφιλή αποσπάσματα

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 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 82 - The usual way of expressing division, as has already been explained, is by writing the divisor under the dividend in the form of a fraction. Thus a divided by b is expressed ^. This gives rise to fractions in the same manner as in arithmetic.

Σελίδα 236 - The sum of all the terms. Any three of which being given, the other two may be found.

Σελίδα 203 - The exponent of a in the first term is the same as the exponent of the power to which the binomial is raised, and it diminishes by one in each succeeding term.

Σελίδα 2 - District Clerk's Office. BE IT REMEMBERED, That on the seventh day of May, AD 1828, in the fifty-second year of the Independence of the UNITED STATES OF AMERICA, SG Goodrich, of the said District, has deposited in this office the...

Σελίδα 229 - The points ..... are used to show that some terms are left out of the expression, as it is impossible to express the whole until a particular value is given to n.

Σελίδα 222 - In each succeeding term the coefficient is found by multiplying the coefficient of the preceding term by the exponent of a in that term, and dividing by the number of the preceding term.

Σελίδα 35 - How many days did he work, and how many days was he idle ? Let x = the number of days he worked.

Σελίδα 275 - ... 8 days. But on the evening of the sixth day, 100 men were killed in a sally, and afterwards the mortality increased to 10 daily. Supposing the stock of provisions unconsumed at the end of the sixth day to support 6 men for 61 days; it is required to find how long it would support the garrison, and the number of men alive when the provisions were exhausted.