The Columbian Calculator; Being a Practical and Concise System of Decimal Arithmetic ... Third Edition, Revised and Corrected

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Kay & Troutman, 1846 - Arithmetic - 264 pages

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Page 149 - Compute the interest on the principal to the time of the first payment, and if the payment exceed this interest, add the interest to the principal and from the sum subtract the payment: the remainder forms a new principal.
Page 188 - If the errors are alike, divide the difference of tire products by the difference of the errors, and the quotient will be the answer. 5. If the errors are unlike, divide the sum of the products by the sum of the errors, and the quotient will be the answer.
Page 32 - Find how many times the divisor is contained in the first figure, or figures, of the dividend, and, setting it directly under the dividend, carry the remainder, if any, to the next figure as so many tens.
Page 127 - RULE. Multiply all the numerators together for a new numerator, and all the denominators for a new denominator: then reduce the new fraction to its lowest terms.
Page 118 - Operations with Fractions A) To change a mixed number to an improper fraction, simply multiply the whole number by the denominator of the fraction and add the numerator.
Page 107 - A and B depart from the same, place and travel the same road ; but A goes 5 days before B, at the rate of 15 miles a day . B follows at the rate of 20 miles a . day } what distance must he travel to overtake A ? Ans. 300 miles RULE OF THREE INVERSE.
Page 214 - There are five things in arithmetical progression, any three of which being given, the other two may be found : — 1st. The first term. 2d. The last term. 3d. The number of terms. 4th. The common difference. 5th. The sum of all the terms.
Page 253 - Suppose a ladder, 60 feet long, be so planted as to reach a window 37 feet from the ground on one side of the street, and, without moving it at the foot, will reach a window 23 feet high on the other side ; what was the breadth of the street?
Page 254 - The height of a tree growing in the centre of a circular island 44 feet in diameter, is 75 feet, and a line stretched from the top of it over to the hither edge of the water, is 256 feet. What is the breadth of the stream, provided...
Page 118 - RULE. Divide the numerator by the denominator, and the quotient will be the whole or mixed number sought.

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