Treatise on Arithmetic, Practical and Theoretical |
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Page 44
... column into squares . This table was called an EXCHEQUER , from its resemblance to a chess board ; and the calculations were made by counters placed on its several divisions in the manner and according to the principles which we have ...
... column into squares . This table was called an EXCHEQUER , from its resemblance to a chess board ; and the calculations were made by counters placed on its several divisions in the manner and according to the principles which we have ...
Page 45
... column standing in the first place on the right , the tens ' succeeding it towards the left , and so on . Such a scheme would differ in no respect from the arrangement of the abacus of the Romans , and Fig . 5 . would differ only in ...
... column standing in the first place on the right , the tens ' succeeding it towards the left , and so on . Such a scheme would differ in no respect from the arrangement of the abacus of the Romans , and Fig . 5 . would differ only in ...
Page 51
... column of primary units , marked A , we first put eight counters for the eight units in the first number ; in the column marked B , we put six counters for the tens in that number ; in the column marked C , we put seven counters for the ...
... column of primary units , marked A , we first put eight counters for the eight units in the first number ; in the column marked B , we put six counters for the tens in that number ; in the column marked C , we put seven counters for the ...
Page 52
... column B is equivalent to ten in the column A. We next withdraw ten more counters from A , and put another counter into B ; there will then remain eight counters in A , two counters being added to the column B : the eight counters ...
... column B is equivalent to ten in the column A. We next withdraw ten more counters from A , and put another counter into B ; there will then remain eight counters in A , two counters being added to the column B : the eight counters ...
Page 53
... column C , and two additional counters placed in the column D , marked as before : the remaining counters in C will be nine , which are moved down and placed as before under the line X Y , in the same column : 10 counters are now ...
... column C , and two additional counters placed in the column D , marked as before : the remaining counters in C will be nine , which are moved down and placed as before under the line X Y , in the same column : 10 counters are now ...
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Treatise on Arithmetic: Practical and Theoretical (1834) Dionysius Lardner No preview available - 2009 |
Common terms and phrases
added addition Agents Effects amount annexed arithmetic ciphers classes of units column complex numbers COMPUTATION converted cubic decimal places decimetre deno denominator DIONYSIUS LARDNER dividend dividing the product divisor divisor and dividend equal equivalent decimal equivalent fractions equivalent number evident example express the number farthings feet figure formed fourth furlongs gallons hundreds improper fraction inches length less Let us suppose manner merator method minator minuend mixed number mowers multi multiple of 9 multiplicand multiply the quotient multiplying the multiplicand necessary nine nomenclature notation number expressing number of days number of shillings obtain the product operation order of units partial product pence perches performed pounds process of division product corresponding proportion quantity question quinary radix ratio reduced remainder resolved result simple numbers single counter subtract subtrahend tens tenth third thousands tiple tiply troy weight vigesimal vulgar fraction weight whole number write yards year's principal
Popular passages
Page 294 - In any proportion, the product of the means is equal to the product of the extremes.
Page 186 - ... the denominator of the dividend by the numerator of the divisor, and the numerator of the dividend by the denominator of the divisor.
Page 29 - L, fifty; C, one hundred; D, five hundred ; M, one thousand.
Page 223 - Gallon., containing Ten Pounds Avoirdupois Weight of distilled Water weighed in Air, at the Temperature of Sixty two Degrees of Fahrenheit's Thermometer, the Barometer being at...
Page 149 - ... that is, the fraction takes its name or denomination from the number of parts, into which the unit is divided. Thus, if the unit be divided into 16 parts, the parts are called sixteenths, and 5 of these parts would be 5 sixteenths, expressed thus, -f%.
Page 148 - J, \i ; that is, we must conceive that the unit has been divided into as many equal parts as there are units in the denominator, and that one of these parts is taken as many times as there are units in the numerator.
Page 167 - To convert a mixed number into an improper fraction —Multiply the integral part by the denominator of the fractional part, and to the product add the numerator of the fractional part.
Page 49 - The character 0 is called a cipher, from the Arabic word tsphara, which signifies a blank or void. The uses of this character in numeration are so important, that its name cipher, has been extended to the whole art of Arithmetic, which has been called to cipher, meaning to work withfigitirtts.
Page 42 - Instead of perpendicular lines or bars, the board had its surface divided by sets of parallel grooves, by stretched wires, or even by successive rows of holes. It was easy to move small counters in the grooves, to slide perforated beads along the wires, or to stick large knobs or round-headed nails in the different holes. To diminish the number of marks required, every column was surmounted by a shorter one, wherein each counter had the same value as five of the ordinary kind, being half the index...