A New System of Arithmetic, on the Cancelling Plan: Embracing the Rules of the Three, Single and Double, Direct and Inverse; Barter; Loss and Gain; Reduction; Multiplication and Division of Fractions; Exchange of Currencies; Interest; and All Proportional Questions in One Rule Applicable to the Whole. The Process Greatly Simplified and Abridged |
From inside the book
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Page 13
... cipher . The nine first figures are sometimes called digits , from the Latin word digitus , which means a finger . In the early stages of society peo- ple counted by their fingers ; they were also formerly all called ciphers - hence the ...
... cipher . The nine first figures are sometimes called digits , from the Latin word digitus , which means a finger . In the early stages of society peo- ple counted by their fingers ; they were also formerly all called ciphers - hence the ...
Page 14
... the ci- pher , when standing alone , or at the left hand of another figure ? 20. What effect has it when placed at the right of another figure ? The cipher , when standing alone , or at the 14 NUMERATION . - TABLE . Numeration,
... the ci- pher , when standing alone , or at the left hand of another figure ? 20. What effect has it when placed at the right of another figure ? The cipher , when standing alone , or at the 14 NUMERATION . - TABLE . Numeration,
Page 15
... cipher , when standing alone , or at the left hand of another figure , signifies nothing , as 05 , 005 , is five in either case , because it still occupies the unit's place . But when placed at the right hand of another figure , it ...
... cipher , when standing alone , or at the left hand of another figure , signifies nothing , as 05 , 005 , is five in either case , because it still occupies the unit's place . But when placed at the right hand of another figure , it ...
Page 27
... ciphers , and we say 4 from 9 and 5 remain ; 7 from 9 , and 2 remain . From the foregoing we derive the following ... cipher , what is to be done ? left hand figure of the minuend to be diminished by SIMPLE SUBTRACTION . 27.
... ciphers , and we say 4 from 9 and 5 remain ; 7 from 9 , and 2 remain . From the foregoing we derive the following ... cipher , what is to be done ? left hand figure of the minuend to be diminished by SIMPLE SUBTRACTION . 27.
Page 28
... cipher , call it 9 . Proof . Add the remainder and lower line together . If the work be right , the amount will correspond with the upper line . EXAMPLES . From 39070 Take 28931 From 506789 Take 467898 From 67023491 Take 57216532 ...
... cipher , call it 9 . Proof . Add the remainder and lower line together . If the work be right , the amount will correspond with the upper line . EXAMPLES . From 39070 Take 28931 From 506789 Take 467898 From 67023491 Take 57216532 ...
Common terms and phrases
12 hours long 12 rods acres amount Answer barrel barter bought bushels called cancelling ciphers circumference cloth cost column common difference compound interest contained cords cube root currency decimal fraction denominator diameter discount divided dividend Division divisor dollars dominical letter equal EXAMPLES factors farthings federal money feet foot frac gain gallons given number guineas horse hundred hundredths improper fraction inches least common multiple length less merator miles mixed number months multiplicand multiply New-England NOTE number of terms Operation paid pence perpendicular pound present worth PROB produced term Proportion quantity QUESTIONS quotient ratio receive Reduce remainder right hand rods shillings side sold solid square root subtract tens tenths thousandths tion Troy Weight unit's place units vulgar fraction weight whole number write yard cost yards of cloth
Popular passages
Page 103 - Thirty days hath September, April, June, and November ; All the rest have thirty-one, Except the second month alone, Which has but twenty-eight, in fine, Till leap year gives it twenty-nine.
Page 41 - The number to be divided is called the dividend. The number by which we divide is called the divisor.
Page 221 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Page 208 - 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 equated time, nearly.
Page 97 - TABLE. 10 Mills =1 Cent. 10 Cents =1 Dime. 10 Dimes =1 Dollar. 10 Dollars =1 Eagle.
Page 307 - America, to be paid to the said or his certain attorney, 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 270 - ... above the upper deck ; the breadth thereof at the broadest part above the main wales, half of which breadth shall be accounted the depth of such vessel, and...
Page 85 - Divide by any number that will divide two or more of the given numbers without a remainder, and set the quotients, together with the undivided numbers, in a line beneath.
Page 251 - 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 223 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.