Treatise on Arithmetic, Practical and Theoretical |
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Page 5
... explained , and in the example which we have already given , we have adopted six ; had ten been adopted as the radix of our example , we should have first formed a group of ten counters , and then formed in like manner nine other groups ...
... explained , and in the example which we have already given , we have adopted six ; had ten been adopted as the radix of our example , we should have first formed a group of ten counters , and then formed in like manner nine other groups ...
Page 6
... explained , must needs have proceeded , pari passu , with the solution of the first . Distinct names would be given to every collection of objects not exceeding the number selected to form the first group . The same succession of names ...
... explained , must needs have proceeded , pari passu , with the solution of the first . Distinct names would be given to every collection of objects not exceeding the number selected to form the first group . The same succession of names ...
Page 7
... explaining the language of numeration , we may observe that the indi- vidual objects which any number immediately expresses are called , with reference to that number , units . * Thus the counters in the example first given are the ...
... explaining the language of numeration , we may observe that the indi- vidual objects which any number immediately expresses are called , with reference to that number , units . * Thus the counters in the example first given are the ...
Page 23
... explained the manner in which clear and distinct ideas are formed of numbers , whatever be their magnitude , and the principles by which names are affixed to these ideas , and the oral nomenclature of number formed , we shall now pro ...
... explained the manner in which clear and distinct ideas are formed of numbers , whatever be their magnitude , and the principles by which names are affixed to these ideas , and the oral nomenclature of number formed , we shall now pro ...
Page 29
... an analogy to the idea intended to be expressed as the following . Sup- posing the first nine digits to be expressed as already explained by the nine characters.- á ß ý ď ť s Ÿ ý ď 2 CHAP . II . 29 NUMERICAL NOTATION .
... an analogy to the idea intended to be expressed as the following . Sup- posing the first nine digits to be expressed as already explained by the nine characters.- á ß ý ď ť s Ÿ ý ď 2 CHAP . II . 29 NUMERICAL NOTATION .
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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...