A System of Arithmetic: Reprinted from the Mathematical Text-book |
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Page 15
... its being more convenient in practice . Now from the demonstration here given , the reason of the rule itself is evident ; for the excess of nines in each of two or METHOD OF PROOF . 1. Draw a line between the SIMPLE ADDITION . 15.
... its being more convenient in practice . Now from the demonstration here given , the reason of the rule itself is evident ; for the excess of nines in each of two or METHOD OF PROOF . 1. Draw a line between the SIMPLE ADDITION . 15.
Page 16
... excess must be equal to the excess of nines , contained in the sum of all the numbers ; the parts being equal to the whole . This rule was first given by Dr. WALLIS in his Arithmetic , published A. D. 1657 , and is a very simple , easy ...
... excess must be equal to the excess of nines , contained in the sum of all the numbers ; the parts being equal to the whole . This rule was first given by Dr. WALLIS in his Arithmetic , published A. D. 1657 , and is a very simple , easy ...
Page 22
... excess of nines in their product be equal to the excess of nines in the total product , the answer is right . ( 1 ) Multiply 23456787454 by 7 EXAMPLES . 164197512178 22 SIMPLE MULTIPLICATION .
... excess of nines in their product be equal to the excess of nines in the total product , the answer is right . ( 1 ) Multiply 23456787454 by 7 EXAMPLES . 164197512178 22 SIMPLE MULTIPLICATION .
Page 23
... excess is the excess of the 9s in the total product ; but a and 6 are the excesses in the factors themselves , and a × b their product ; therefore the rule is true . Q. E. D. This method is liable to the same inconvenience with that in ...
... excess is the excess of the 9s in the total product ; but a and 6 are the excesses in the factors themselves , and a × b their product ; therefore the rule is true . Q. E. D. This method is liable to the same inconvenience with that in ...
Page 25
... excess , that excess is called the remainder . RULE . * 1. On the right and left of the dividend , draw a curved line , and write the divisor on the left , and the quotient , as it rises , on the right . give the same product , as if it ...
... excess , that excess is called the remainder . RULE . * 1. On the right and left of the dividend , draw a curved line , and write the divisor on the left , and the quotient , as it rises , on the right . give the same product , as if it ...
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A System of Arithmetic: Reprinted From the Mathematical Text-Book (Classic ... Samuel Webber No preview available - 2016 |
A System of Arithmetic: Reprinted from the Mathematical Text-Book Samuel Webber No preview available - 2016 |
Common terms and phrases
2qrs 3qrs amount of 11 annuity annum answer required arithmetical Arithmetical Progression barrel bushel called carats cent common difference compound fraction compound interest contain couplets cube root cyphers debt decimal DEMONSTRATION discount Divide dividend division divisor dollar equal equated equivalent evident EXAMPLES farthings fourth gain or loss gallon geometrical geometrical progression geometrical series given number gold greater greatest common measure gross improper fraction inches last term least common multiple less number manner method of proof mixed number months multiplicand Multiply number of combinations number of places number of terms number of things payment pound present worth proportion quantities question quotient quotient figure ratio Reduce remainder repetend Rule of Three shillings Signifies simple interest square root subtract supposition taken tare tion trett TROY WEIGHT vulgar fraction weight whole number yards year's interest
Popular passages
Page 129 - A wall, to be built to the height of 27 feet, was raised to the height of 9 ft. by 12 men in 6 days; how many men must be employed to finish the wall in 4 days at the same rate of working ? Ans. 36 men.
Page 210 - Find the present worth of each year by itself, discounting from the time it falls due, and the sum of all these present worths will be the present worth required.
Page 37 - Pound /6 28 Pounds 1 Quarter qr 4 Quarters 1 Hundred weight cwt 20 Hundred weight 1 Ton...
Page 193 - 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 equated time.* • , EXAMPLES.
Page 229 - RULE. 1. Find all the different forms of combination of all the given things, taken as many at a time, as in the question^ by problem 5, 2.
Page 229 - ... 1. Place the things so that the greatest indices may be first, and the rest in order. 2. Begin with the first letter and join it to the second, third, fourth, &c. to the last.
Page 237 - What difference is there between the interest of 500Z. at 5 per cent, for 12 years, and the discount of the same sum at the same rate, and for the same time ? Ans.
Page 172 - The difference of the extremes divided by the number of the terms less 1, gives the common difference; consequently, the same divided by the common difference must give the number of terms less 1 : hence, this quotient augmented by 1, must give the number of terms.
Page 56 - Begin at the left hand, and divide each denomination by the divisor, setting down the quotients under their respective dividends. But if there be a remainder after dividing any of the denominations except the least, find how many of the next lower denomination it is equal to, and add it to the number, if any, which was in this denomination before, then divide the sum as usual, and so on, till the whole is finished.
Page 183 - Ans. 59048. 4. What debt may be discharged in a year, or twelve months, by paying $1 the first month, $2 the second month...