A Practical and Theoretical System of Arithmetic: Containing Several New Methods of Operation, and a New System of Proportion; with Theoretical Explanations of All the Principal Rules. Also, a Treatise on Mensuration, and a Brief Practical System of Book-keeping
C. Morse, 1836 - 192 頁
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acres added addition amount answer Balance barrels base bought bushels called cent ciphers cloth common compound consisting contain cost cube currency decimal denominator diameter difference distance divide dividend division divisor dollars equal evident example expressed extremes feet figure fraction gallons give given given number greater half hand higher hundred inches increased interest length less lower lowest mean measure method miles mills Money months multiplicand Multiply Note number of terms paid payment perform period persons piece pound principal proportion quantity question quotient ratio Reduce remainder result rods root RULE share shillings side simple solid square square root statement subtract taken third units vulgar fraction weeks weight whole whole number wide worth yards
第 164 頁 - PROBLEM II. The first term, the last term, and the number of terms given, to find the common difference. RULE. — Divide the difference of the extremes by the number of terms less 1 , and the quotient will be the common diffcrenct.
第 51 頁 - When the numerator is less than the denominator, the value of the fraction is less than 1.
第 124 頁 - The rule for casting interest, when partial payments have been made, is to apply the payment, in the first place, to the discharge of the interest then due. If the payment exceeds the interest, the surplus goes towards discharging the principal, and the subsequent interest is to be computed on the balance of principal remaining due.
第 53 頁 - To reduce a mixed number to an improper fraction, — RULE : Multiply the whole number by the denominator of the fraction, to the product add the numerator, and write the result over the denominator.
第 105 頁 - If 8 men can build a wall 20 feet long, 6 feet high and 4 feet thick, in 12 days ; in what time...
第 82 頁 - RULE. I. Write the several terms of the multiplier under the corresponding terms of the multiplicand. II. Multiply each term of the multiplicand by each term of the multiplier, beginning with the lowest term in each, and call the product of any two denominations the denomination denoted by the sum of their indices, carrying 1 for every 12.
第 159 頁 - Alligation alternate is the method of finding what quantity of any number of simples, whose rates are given, will compose a mixture of a given rate ; so that it is the reverse of Alligation medial, and may be proved by it. RULE 1.* 1. Write the rates of the simples in a column under each other.
第 145 頁 - Extract the root of the numerator for a new numerator, and the root of the denominator, for a new denominator 2.
第 124 頁 - If the payment exceeds the interest, the surplus goes towards discharging the principal, and the subsequent interest is to be computed on the balance of principal remaining due. If the payment be less than the interest, the surplus of interest must not be taken to augment the principal, but interest continues on the former principal until the period when the payments taken together exceed the interest due, and then the surplus is to be applied towards discharging the principal, and interest is to...