## 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 120

When any number of barrels , bales , or other packages or pieces are given , if

they be of equal

lowest denomination mentioned , which , multiply by the number of pieces , & c .

the ...

When any number of barrels , bales , or other packages or pieces are given , if

they be of equal

**contents**, find the**contents**of one barrel or price , & c . in thelowest denomination mentioned , which , multiply by the number of pieces , & c .

the ...

Page 161

If the length and breadth be equal , it is a square , then the measure of one of the

sides as of a room , is the root , of which the superficial

room , is the second power . So that having the superficial

...

If the length and breadth be equal , it is a square , then the measure of one of the

sides as of a room , is the root , of which the superficial

**content**in the floor of thatroom , is the second power . So that having the superficial

**contents**of the floor of...

Page 162

Now the square number ( 4 ) is the superficial

evident thus , each side of the square A , measures 20 yards , which number

multiplied into itself , produces 400 , the superficial

Now the square number ( 4 ) is the superficial

**content**of the square A - madeevident thus , each side of the square A , measures 20 yards , which number

multiplied into itself , produces 400 , the superficial

**contents**of the square ... Page 171

Now this cube ( 8 ) is the solid

Made evident thus ----- Each side of this figure is 20 , which being raised to the 3d

power , that is , the length , breadth , & thickness being multiplied into each other

...

Now this cube ( 8 ) is the solid

**contents**of the figure we have in representation .Made evident thus ----- Each side of this figure is 20 , which being raised to the 3d

power , that is , the length , breadth , & thickness being multiplied into each other

...

Page 173

They are limited in width by the last quotient figure ( 4 ) the square of which gives

the area , or superficial

the triple quotient , which 20 F4n is the same thing , gives the con60 triple ...

They are limited in width by the last quotient figure ( 4 ) the square of which gives

the area , or superficial

**contents**at one end , which multiplied into their length , orthe triple quotient , which 20 F4n is the same thing , gives the con60 triple ...

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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...