## A Theoretical and Practical Arithmetic: In which the Principles of that Science are Clearly and Fully Explained; Being Intended as an Introduction to the Higher Branches of Mathematics |

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A Theoretical and Practical Arithmetic: In Which the Principles of That ... Etienne Bezout No preview available - 2016 |

### Common terms and phrases

according adding addition answers antecedents arithmetical borrow bring bushels called ciphers column comma commence common composed compound consequently consider contains continue cube root decimals denominator difference divide dividend division divisor double effect equal error evident example expressed extract extremes feet fifth figures five four fourth term fraction gallons geometrical given gives greater half hundred hundredth inches interest kind last figure least leaves less logarithm manner means measure method multiplicand multiply nine observe operation payments pence perform pounds preceding principle PROBLEM progression proportion proposed number quantities question quotient ratio reason reduce remainder result rule seek separate shillings shows side signifies simple sought square root subtract Suppose suppress taken tens tenths term thing third thousand thousandths tion twice units weight whole numbers write yard

### Popular passages

Page 87 - ... 3 quarters, 1 ell Flemish, - - E. Fl 5 quarters, ------ 1 ell English, - - EE 6 quarters, ------ 1 ell French, - - E. Fr 27.

Page 100 - Which proves that the square of a number composed of tens and units contains, the square of the tens plus twice the product of the tens by the units, plus the square of the units.

Page 89 - TABLE. 60 seconds (") make 1 minute, '. 60 minutes " 1 degree, . . . °. 30 degrees

Page 85 - APOTHECARIES WEIGHT. 20 grains gr. make - - 1 scruple, 9 3 scruples - . - 1 drachm...

Page 88 - TABL.E. 60 seconds (s.) - make - 1 minute, marked m. 60 minutes ------ 1 hour, - - - - h. 24 hours -------1 day, - - - - d. 7 days ------- 1 week, - - - - w. 4 weeks ------ 1 month, - - - - mo 13 months, 1 day and 6 hours, ) 1 common, or > or 365 days and 6 hours, ) Julian year, j IT 37.

Page 227 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.

Page 195 - If the errors are alike, divide the difference of tire products by the difference of the errors, and the quotient will be the answer. 5. If the errors are unlike, divide the sum of the products by the sum of the errors, and the quotient will be the answer.

Page 153 - That is, the sum of the terms of an arithmetical progression is equal to half the sum of the two extremes multiplied by the number of terms.

Page 87 - ... gallons .... 1 barrel . . bar. 42 gallons .... 1 tierce . . tier. 63 gallons .... 1 hogshead . hhd. 84 gallons .... 1 puncheon . pun. 2 hogsheads ... 1 pipe, or butt.