The National Arithmetic on the Inductive System: Combining the Analytic and Synthetic Methods Together with the Cancelling System : Forming a Complete Mercantile Arithmetic |
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Page 31
... denominator of the fraction represents the divisor , and shows into how many parts the given number or quantity is ... denominator in the form of a fraction , we signify that it is to be divided by the denominator ; and when placed at ...
... denominator of the fraction represents the divisor , and shows into how many parts the given number or quantity is ... denominator in the form of a fraction , we signify that it is to be divided by the denominator ; and when placed at ...
Page 89
... Denominator ; the former above , and the latter below a line . Thus , { Numerator 7 Denominator 11 The Denominator shows into how many parts the integer , or whole number , is divided . The numerator shows how many of these parts are ...
... Denominator ; the former above , and the latter below a line . Thus , { Numerator 7 Denominator 11 The Denominator shows into how many parts the integer , or whole number , is divided . The numerator shows how many of these parts are ...
Page 90
... denominator ; the numerator being the upper term , and the denominator the lower . 8. The greatest common measure of two or more numbers is the largest number that will divide them without a re- mainder . 9. The least common multiple of ...
... denominator ; the numerator being the upper term , and the denominator the lower . 8. The greatest common measure of two or more numbers is the largest number that will divide them without a re- mainder . 9. The least common multiple of ...
Page 91
... denominator . 24. The value of a fraction depends on the proportion which the numerator bears to the denominator . 25. Ratio is the relation which two numbers or quantities of the same kind bear to each other , and may be found by divid ...
... denominator . 24. The value of a fraction depends on the proportion which the numerator bears to the denominator . 25. Ratio is the relation which two numbers or quantities of the same kind bear to each other , and may be found by divid ...
Page 93
... denominator , it is evident when their ratios are the same that their values are equal ; therefore , is equal to 18 . Q. E. D. RULE . — Divide the numerator and denominator by any number , that will divide them both without a remainder ...
... denominator , it is evident when their ratios are the same that their values are equal ; therefore , is equal to 18 . Q. E. D. RULE . — Divide the numerator and denominator by any number , that will divide them both without a remainder ...
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Common terms and phrases
20 feet acres amount annexed annuity answer Arithmetic Avoirdupois barrels of flour beam bill Boston Bought breadth broadcloth bushels cent ciphers circle circumference common denominator common difference compound interest contain cost cube root decimal diameter Divide dividend divisor dominical letter Ducat duodecillions equal EXAMPLES farthings feet long feet wide figure foot gain gallons given number hogshead improper fraction inches wide indorsements least common multiple length merchant miles minuend mixed number months multiplicand Multiply NOTE number of terms OPERATION ounces paid payment pence pound sterling pounds present worth principal proportion quantity question quotient ratio received Reduce remainder repetend rix dollars rods RULE SECTION septillions shillings side simple fraction sold square root subtract subtrahend sugar third thousand thousandths tons triangle TROY WEIGHT United States money usury vulgar fraction weight whole number wine
Popular passages
Page 13 - Los números cardinales 0: zero 1: one 2: two 3: three 4: four 5: five 6: six 7: seven 8: eight 9: nine 10: ten 11: eleven 12: twelve 13: thirteen 14: fourteen 15: fifteen 16: sixteen 17: seventeen 18: eighteen 19: nineteen 20: twenty...
Page 249 - 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 257 - Thus 16 -5- 8 = 2 is the common difference. RULE. — Divide the difference of the extremes by the number of terms less one, and the quotient is the common difference.
Page 298 - Ninety days after sight of this my first Bill of Exchange (second and third of the same tenor and date unpaid), pay to Robert S.
Page 256 - To the remainder, bring down the first figure in the next period, and call it the dividend. 4. Involve the root to the next inferior power to that which it given, and multiply it by the number denoting the given power for a divisor.
Page 224 - Is when the several shares of stock are continued in trade an equal term of time. RULE. As the whole stock is to the whole gain or loss : so is each man's particular stock, to his particular share of the gain or loss.
Page 178 - If there be after payments made, compute the interest on the balance due to the next payment, and then deduct the payment as above ; and, in like manner, from one payment to another, till all the payments are absorbed ; provided the time between one payment and another be one year or more.
Page 291 - In reckoning when a bill, payable after date, becomes due, the day on which it is dated is not included; and if it be a bill payable after sight, the day of presentment is not included. When the term is expressed in months, calendar months are understood; and when a month is longer than the preceding, it is a rule not to go in the computation, into a third month.
Page 323 - It follows that the ratio of the circumference of a circle to its diameter is the same for all circles.
Page 317 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.