The Foreign and Domestic Commercial Calculator; Or, A Complete Library of Numerical, Arithmetical, and Mathematical Facts, Tables, Data, Formulas, and Practical Rules for the Merchant and Mercantile Accountant |
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... Progression .... Geometrical Progression ANNUITIES . Of Installments generally PERMUTATION COMBINATION To draw a Triangle equal in Area to two given Triangles . To describe a Circle equal in Area to two given Circles • To construct a ...
... Progression .... Geometrical Progression ANNUITIES . Of Installments generally PERMUTATION COMBINATION To draw a Triangle equal in Area to two given Triangles . To describe a Circle equal in Area to two given Circles • To construct a ...
Page 146
... PROGRESSION . A series of three or more numbers , increasing or decreasing by equal differences , is called an arithmetical progression . If the num- bers progressively increase , the series is called an ascending arith- metical progression ...
... PROGRESSION . A series of three or more numbers , increasing or decreasing by equal differences , is called an arithmetical progression . If the num- bers progressively increase , the series is called an ascending arith- metical progression ...
Page 147
... progression , of which , any three being given , the other two may be found . Let s represent the sum of the terms . " 6 E 66 66 66 e 66 d 66 66 66 n the greater extreme . the less extreme . the common difference . the number of terms ...
... progression , of which , any three being given , the other two may be found . Let s represent the sum of the terms . " 6 E 66 66 66 e 66 d 66 66 66 n the greater extreme . the less extreme . the common difference . the number of terms ...
Page 148
... progression and the common difference being given , to find the number of terms . E — e ÷ d + 1 = number of terms . EXAMPLE . -As a heavy body , falling freely through space ... progression , and the number 148 ARITHMETICAL PROGRESSION .
... progression and the common difference being given , to find the number of terms . E — e ÷ d + 1 = number of terms . EXAMPLE . -As a heavy body , falling freely through space ... progression , and the number 148 ARITHMETICAL PROGRESSION .
Page 149
Ezra S. Winslow. The extremes of an arithmetical progression , and the number of terms being given , to find the common difference . EXAMPLE . - E -e n — common difference . One of the extremes of an arithmetical progression is 28 and ...
Ezra S. Winslow. The extremes of an arithmetical progression , and the number of terms being given , to find the common difference . EXAMPLE . - E -e n — common difference . One of the extremes of an arithmetical progression is 28 and ...
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Common terms and phrases
12 denari acid amount annuity annum arithmetical progression arroba atmosphere averages due Avoirdupois bung diameter camphene cantaro capacity cask cast iron centner co-efficient Cologne mark colorless common difference compound interest copper cubic feet cubic foot cubic inches cylindrical debt decimal divide the product dividend divisor dollar equal EXAMPLE Florin Foreign France frustum gauge geometrical progression given number gold to silver greater extreme groschen head diameter hydrogen interior diameter kreuzer length less extreme libbra Lira Livre maund mean measure metal miles Multiply number of terms number of things oncia oxygen payable in half-yearly payments peso duro pfennig pfund Piastre pipe pound present worth quantity quintal quotient rate per cent ratio Reál reduce remainder Rixdollar rotoli RULE RULE.-Multiply Scudo shillings soldo solidity specific gravity standard TABLE Thaler thickness troy grains ullage unze velocity viertel VULGAR FRACTIONS wakea weight whole numbers wine gallons yard yearly Zinc
Popular passages
Page 136 - 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 100 - To reduce a compound fraction to an equivalent simple one. RULE. — Multiply all the numerators together for a numerator, and all the denominators together for the denominator, and they will form the simple fraction sought.
Page 148 - 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 100 - To reduce a whole number to an equivalent fraction, having a given denominator. RULE. Multiply the whole number by the given denominator, and place the product over the said denominator, and it will form the fraction required.
Page 104 - It will be seen that we multiply the denominator of the dividend by the numerator of the divisor for the denominator of the quotient, and the numerator of the dividend by the denominator of the divisor for the numerator of the quotient.
Page 149 - Subtract the cube of this number from the first period, and to the remainder bring down the first figure of the next period for a dividend.
Page 115 - Sir," said I, after puzzling a long time over "more requiring more and less requiring less" — "will you tell me why I sometimes multiply the second and third terms together and divide by the first — and at other times multiply the first and second and divide by the third?" "Why, because more requires more sometimes, and sometimes it requires less — to be sure. Haven't you read the rule, my boy?" " Yes, sir, I can repeat the rule, but I don't understand it.
Page 147 - ... and to the remainder bring down the next period for a dividend. 3. Place the double of the root already found, on the left hand of the dividend for a divisor. 4. Seek how often the divisor is contained in the dividend...
Page 154 - GEOMETRICAL PROGRESSION. A series of three or more numbers, increasing by a common multiplier, or decreasing by a common divisor, is called a geometrical progression. If the greater numbers of the progression are to the right, the progression is called an ascending geometrical progression, but, on the contrary, if they are to the left, it is called a descending geometrical progression. The number by which the progression is formed, that is, the common multiplier, or divisor, is called the ratio.
Page 147 - RULE. 1 . Separate the given number into periods of three figures each, by putting a point over the unit figure and every third figure bejond the place of units.