## The Youth's Assistant in Theoretick and Practical ArithmeticD. Watson, 1826 - 164 pages |

### From inside the book

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**Proportion**. As it was the Author's design to combine the excellencies of the Arithmeticks now in use , in a lucid and perspicuous manner , he has not aimed at originality , but has selected freely from the works which came to his hand ... Page 9

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**PROPORTION**. 1. Single Rule of Three do . in Vulgar Fractions INTEREST . 1. Simple Interest 2. Compound Interest 1. Practice 2. Tare and Trett 3. Equation of Payments 4. Fellowship 58 3. Federal Money 60 Reduction of Federal Money 70 ... Page 10

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**Proportion**has to 24 . 8- is expressed by four colons . Thus 2 : 6 : 8:24 signifies that 2 has the same**proportion**to 6 , that 8 In arithmetical**proportion**two of the colons are placed horizontally ; thus 2.4 :: 6. 8 . 2 signifies the ... Page 11

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**proportion**. Thus 4 standing alone is four ; annex a cipher ( 40 , ) and it is forty ; another cipher ( 400 , ) and it is four hundred . Hence figures have a local as well as simple value ; and the local value depends on the distance of ... Page 33

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**proportion**, we here carry by 10 from one deno- 7mination to another , and the operation is performed precisely as in Simple Addition . In business , we com 16 6 3 3 3 monly reckon by dollars and cents only , as in the third and fourth ...### Common terms and phrases

2qrs additions amount annex answer Arithmetick barrel bush bushels called Cash cents ciphers circumference column composite number cube root currency day-book diameter different denominations dimes divide dividend Division divisor dollars DRY MEASURE equal Examples expressed Federal Money feet gallon given number given sum given to find half hence hundred improper fraction inches least common multiple left hand length less measure method of proof miles mills minuend mixed number moidore months multiplicand Multiply nine number of terms payment pence and farthings pound by inspection present worth principal proceed proportion quantity QUESTIONS Reduce remainder right hand rods Rule of Three RULE.-Multiply separatrix shillings side Simon Pond simple interest square root subtract subtrahend sugar supposed tare third term tion trett TROY WEIGHT velocity Vulgar Fraction weight whole number write yards cost

### Popular passages

Page 163 - 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 David to hold as aforesaid.

Page 164 - He shall not waste the goods of his said Master nor lend them unlawfully to any.

Page 128 - Given the first term, last term, and common difference, to find the number of terms. RULE. — Divide the difference of the extremes by the common difference, and the quotient increased by 1 is the number of terms.

Page 65 - ... second and third places ; observing to increase the second place by 5, if the shillings be odd, and the third place by 1, when the farthings exceed 12, and by 2 when they exceed 37.

Page 162 - I do covenant with the said Elvin Fairface, his heirs and assigns, that I am lawfully seized in fee of the afore granted premises: That they are free of all incumbrances : That I have good right to...

Page 104 - Multiply each payment by its term of credit, and divide the sum of the products by the sum of the payments ; the quotient will be the average term of credit.

Page 55 - To reduce fractions of different denominators to equivalent fractions having a common denominator. RULE.! Multiply each numerator into all the denominators except its own for a new numerator, and all the denominators together for a common denominator.

Page 127 - ... the terms, RULE. Multiply the sum of the extremes by the number of terms, and half the product will be the sum of the terms.

Page 161 - States for the district of , in the full and just sum of dollars, to be paid to the said , his executors, administrators, or assigns, to which payment, well and truly to be made, we bind ourselves, our heirs, executors, and administrators, jointly and severally, by these presents. Signed and sealed this day of , AD 189—.

Page 98 - DISCOUNT. DISCOUNT is an allowance made for the payment of any sum of money before it becomes due ; and is the difference between that sum due some time hence, and its present worth. The present worth of any sum, due some time hence, is such a sum, as, if put to interest, would in that time, and at the rate per cent.