## Treatise on Arithmetic, Practical and Theoretical |

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Treatise on Arithmetic: Practical and Theoretical (1834) Dionysius Lardner No preview available - 2009 |

### Common terms and phrases

added addition agents already amount annexed applied arithmetic become called carry ciphers column common COMPUTATION consider consists contained continued converted corresponding counters decimal decimal places denominator digits divided dividend division divisor effect equal equivalent evident example explained expressed farthings feet figure five formed former four fourth fraction given gives greater groups half hundreds inches increased interest kind language latter length less lines manner means measure method miles minuend multiplicand multiply names necessary nine number expressing objects observed obtain operation original pence perches performed pounds present principal proceed proportion proposed quantity question quotient ratio reason reduced remainder resolved result rule shillings simple single sought square subtract subtrahend suppose taken tens third thousands units weight whole number write yards

### Popular passages

Page 292 - In any proportion, the product of the means is equal to the product of the extremes.

Page 184 - ... the denominator of the dividend by the numerator of the divisor, and the numerator of the dividend by the denominator of the divisor.

Page 27 - L, fifty; C, one hundred; D, five hundred ; M, one thousand.

Page 221 - 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 147 - ... 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 146 - 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 165 - 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 47 - 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 40 - 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...