## The Youth's Assistant in Theoretic and Practical Arithmetic, : Designed for the Use of Schools in the United States |

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Page 128

The first term of a relation is called the antecedent , and the second , the

consequent ; and as in every

two antecedents and two consequents . In the

The first term of a relation is called the antecedent , and the second , the

consequent ; and as in every

**proportion**there are two relations , there are alwaystwo antecedents and two consequents . In the

**proportion**4 : 6 : : 12 : 18 , the ... Page 129

By the question the

243 , Ans . Where more requires less or less requires more , that is , when one of

the ratios is inverted , as ex . plained in this article , it is denominated inderse ...

By the question the

**proportion**would stand , 8 : 6 : : 4 : x ; then 8x = 4x6 , and s =243 , Ans . Where more requires less or less requires more , that is , when one of

the ratios is inverted , as ex . plained in this article , it is denominated inderse ...

Page 133

COMPOUND

. If a person can travel 36 miles in 4 days , when the days are 3 hours long , how

far can he travel in 2 days , when the days are 12 hours long ? I . If a person can ...

COMPOUND

**PROPORTION**, 133 2 . Compound**proportion**. ANALYSIS . 199 . 1. If a person can travel 36 miles in 4 days , when the days are 3 hours long , how

far can he travel in 2 days , when the days are 12 hours long ? I . If a person can ...

Page 134

ples , is called a Compound

compound

understood from the preceding analysis . RULE . 202 . Make that number , which

is ...

ples , is called a Compound

**Proportion**. The rule by which the fourth term of acompound

**proportion**is found , is called the Double Rule of Three , and may beunderstood from the preceding analysis . RULE . 202 . Make that number , which

is ...

Page 137

In what

12 cents a pound , in order that the mixture may be worth 10 cents a pound ?

Here a pound at 9 cents falls one cent sliort of the mean , and a pound at 12

cents ...

In what

**proportion**must I mix currants worth 9 cents a pound ; with currants worth12 cents a pound , in order that the mixture may be worth 10 cents a pound ?

Here a pound at 9 cents falls one cent sliort of the mean , and a pound at 12

cents ...

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### Common terms and phrases

added Addition amount angle answer apples Arithmetic beans bushels called Cash cents ciphers circle cloth common compound contained cost cube cubic decimal denominator denoted diameter difference divide dividend division divisor dollars dolls equal evidently example expressed factors feet figures five foot four fraction gain gallon give given half hand Hence hundred hundredths inches interest least length less mean measure method miles minutes months multiply names nine operation payment period person piece pound principal proportion quantity quarter quarts QUESTIONS FOR PRACTICE quotient ratio receive Reduce remains rods root rule seven share shillings side simple solid square subtract supposed tens tenths third units weeks weight whole worth write written yard

### Popular passages

Page 214 - Graffam his Heirs and Assigns forever, against the lawful Claims and Demands of all Persons.

Page 215 - I am lawfully seized in fee of the premises ; that they are free of all incumbrances ; that I have good right to sell and convey the same to the said...

Page 128 - In any proportion, the product of the means is equal to the product of the extremes.

Page 216 - He shall not waste the goods of his said master nor lend them unlawfully to any ; at cards, dice, or any other unlawful game he shall not play ; fornication he shall not commit, nor matrimony contract during the said term ; taverns, ale-houses, or places of gaming he shall not haunt or frequent...

Page 2 - An Act, supplementary to an Act, entitled an act for the encouragement of Learning, hy 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 etching historical and other prints.

Page 171 - Bring down the first figure of the next period to the remainder for a new dividend, to which find a new divisor as before, and in like manner proceed till the whole be finished.

Page 213 - CD, his heirs, executors, or administrators, do and shall well and truly pay, or cause to be paid, unto the said EF, his executors, administrators, or assigns, the said sum of, &c., with legal interest of the same, on the said • — day of, &c...

Page 129 - If 4 men can do a piece of work in 6 days, in how many days can 3 men do twice as much work ? 15.

Page 166 - Subtract the square number from the left hand period, and to the remainder bring down the next period for a dividend. III. Double the root already found for a divisor ; seek how many times the divisor is contained in the dividend, excepting the right hand figure, and place the result...

Page 62 - Los números cardinales 0: zero 1: one 2: two 3: three 4: four 5: five 6: six 7: seven 8: eight 9: nine 10: ten 11: eleven 12: twelve 13: thirteen 14: fourteen 15: fifteen 16: sixteen 17: seventeen 18: eighteen 19: nineteen 20: twenty...