## The Scholar's Arithmetic; Or, Federal Accountant ...: The Whole in a Form and Method Altogether New, for the Ease of the Master, and the Greater Progress of the ScholarJohn Prentiss, (proprietor of the copy-right) and sold at his book-store, wholesale and retail.--Sold also by the principal booksellers in New-England, and at the Rensselaer book-store, Troy, N.Y., 1807 - Arithmetic - 216 pages |

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Page 8

To find the circumference of a circle the

the area of a circle the

an irregular body ibid SECTION IV . MISCELLANEOUS QUESTIONS . SECTION

...

To find the circumference of a circle the

**diameter**being given..ibid 2d . 7 ' ) . findthe area of a circle the

**diameter**being given ibia 3d . To meanore the solidity ofan irregular body ibid SECTION IV . MISCELLANEOUS QUESTIONS . SECTION

...

Page 167

There is a circle whose

times as large ? Answer , 8 inches . Note . SQUARE the given

this square by the given proportion , and the square root of the product will be the

...

There is a circle whose

**diameter**is 4 inches , what is the**diameter**of a circle 4times as large ? Answer , 8 inches . Note . SQUARE the given

**diameter**, multiplythis square by the given proportion , and the square root of the product will be the

...

Page 177

If a bullet 6 inches

weigh , whose

are in proportion to each other , as the cubes of their similar sides , or

If a bullet 6 inches

**diameter**weigh 321b . what will a bullet of the same metalweigh , whose

**diameter**is 3 inches ? ... 66 The solid contents of similar figa uresare in proportion to each other , as the cubes of their similar sides , or

**diameters**. Page 205

13. Guaging . GUAGING is taking the dimensions of a cask in inches to find its

content in gallons by the following METHOD . 1. Add two thirds of the difference

between the head and bung

13. Guaging . GUAGING is taking the dimensions of a cask in inches to find its

content in gallons by the following METHOD . 1. Add two thirds of the difference

between the head and bung

**diameters**to the head**diameter**for the mean**diameter**... Page 206

As the

applied to the wheel , to the weight suspended by the axle , EXAMPLES . 1. A

MECHANIC wishes to make a windlass in such a manner , as that llb . applied to

the ...

As the

**diameter**of the axle is to the**diameter**of the wheel : so is the pow , erapplied to the wheel , to the weight suspended by the axle , EXAMPLES . 1. A

MECHANIC wishes to make a windlass in such a manner , as that llb . applied to

the ...

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### Common terms and phrases

accounts acres added addition amount Answer Arithmetic bond bushels called carry cast cents column Compound contained contents continued cube cyphers decimal demand denomination diameter direct divide dividend Division divisor dollars Dolls double equal EXAMPLES express farthings Federal Money feet figure fourth fraction gain gallons give given given number greater guineas half hundred inches interest kinds left hand length less loss manner MEASURE method miles mills months multiplicand multiply OPERATION paid payment pence period pounds principal proceed PROOF proportion proved quantity question quotient received reduced remainder right hand root rule Scholar share shew shillings side simple solid sought square stand subtract SUPPLEMENT suppose TABLE tens term thing third tion units weight whole write yards cost

### Popular passages

Page 196 - EF, or his certain attorney, his executors, administrators, or assigns, to which payment, well and truly to be made, I bind myself, my heirs, executors and administrators, firmly by these presents.

Page 199 - He shall not waste the goods of his said Master nor lend them unlawfully to any...

Page 157 - Subtract the cube thus found, from the said period, and to the remainder bring down the next period, and call this the dividend.

Page 199 - Lord eighteen hundred and with lawful interest for the same until paid, then this deed, as also a certain bond [or note as the case may...

Page 198 - And I the said AB for myself, my heirs, executors and administrators, do covenant with the said CD his heirs and assigns, that I am lawfully seized in fee of the premises...

Page 200 - Rule oflfcree, if the said apprentice be capable to learn, and shall well and faithfully find and provide for the said apprentice, good and sufficient meat, drink, clothing, lodging and other necessaries fit and convenient for such an apprentice, during the term aforesaid, and at the expiration thereof, shall give unto the said apprentice, two suits of wearing apparel, one suitable for the Lord's day, and the other for working; days.

Page 157 - ... Separate the given number into periods of three figures each, by putting a point over the unit figure, and every third figure from the place of units to the left, and if there be decimals, to the right.

Page 74 - Write the given numbers perpendicularly under each other for dividends, proceeding orderly from the least to the greatest : opposite to each dividend, on the left hand, place such a number for a divisor, as will bring it to the next superior name, and draw a line between them.

Page 189 - RULE. Multiply each payment by the time at which it is due, then divide the sum of the products by the sum of the payments, and the quotient will be the answer.

Page 196 - CD, his heirs, executors, or administrators, do and shall well and truly pay, or cause to be paid, unto the...