## 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

abridged added annexing arithmetic avoirdupois classes of units column common measure complex numbers computation converted decimal places decimetre dend denominator DIONYSIUS LARDNER divi dividing the product divisor and dividend divisor is contained effect equal equivalent fractions evident exact multiple example express the number farthings feet figure formed former fourth furlongs given greater number hundreds improper fraction inches interest Let us suppose mainder manner merator method minuend multi multiple of 37 multiplication table multiplying the multiplicand necessary number expressing number of days number of shillings obtain the product operation order of units partial products partial quotients pence perches performed pounds principle process of division proportion proposed quantity question quinary radix reduced remainder resolved result rule simple numbers single counter single digit sought subtract subtrahend tens third thousands tiple tiply troy weight vigesimal vulgar fraction 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...