## Easy Introduction to Mathematics, Volume 1 |

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### Contents

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### Common terms and phrases

added Algebra aliquot answer arithmetical arithmetical progression called carry ciphers coefficient common denominator common difference compound contains cost cube root cubic denotes Diff Diophantus Divide dividend division divisor drams equal equation evidently Examples Explanation Extract the square farthings former fourth gallons geometrical geometrical progression given fraction given number greater greatest common measure greatest term guineas hundred improper fraction inches invention latter least common multiple least term left hand less logarithm lowest terms Mathematics method mixed number multiplicand Multiply negative number of terms Operation ounces pence pounds prefix Prod Proof Quot quotient radical sign ratio Reduce remainder repetend right hand figure rule second term shewn shews shillings square root subjoin subtract surd third tion transposition units unknown quantity vinculum vulgar fraction whence wherefore whole number yards

### Popular passages

Page xxii - Just so it is in the mind; would you have a man reason well, you must use him to it betimes, exercise his mind in observing the connection of ideas and following them in train. Nothing does this better than mathematics, which therefore I think should be taught all those who have the time and opportunity, not so much to make them mathematicians as to make them reasonable creatures...

Page 60 - LIQUID MEASURE 4 gills (gi.) = 1 pint (pt.) 2 pints = 1 quart (qt...

Page 110 - Then multiply the second and third terms together, and divide the product by the first term: the quotient will be the fourth term, or answer.

Page 54 - AVOIRDUPOIS WEIGHT. 16 drams, dr. make 1 ounce, - - - - oz. 16 ounces - - - 1 pound, - - - - Ib. 28 pounds - - - 1 quarter, - - - qr. 4 quarters - - - 1 hundred weight, - cwt. 20 hundred weight, 1 ton, T.

Page 464 - What number is that, which, being divided by the product of its digits, the quotient is 3 ; and if 18 be added to it, the digits will be inverted ? Ans.

Page 68 - 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 Julian year, yr. Thirty days hath September, April, June and November ; February twenty-eight alone, all the rest have thirtyone.

Page 118 - State and reduce the terms as in the Rule of Three Direct. 2. Multiply the first and second terms together, and divide the product by the third ; the quotient will be the answer in the same denomination as the middle term was reduced into.

Page 250 - ... and to the remainder bring down the next period for a dividend. 3. Place the double of the root already found, on the left hand of the dividend for a divisor. 4. Seek how often the divisor is contained...

Page 448 - A hare is 50 leaps before a greyhound, and takes 4 leaps to- the greyhound's 3, but 2 of the greyhound's leaps are as much as 3 of the hare's ; how many leaps must the greyhound take to catch the hare ? Ans. 300.

Page 152 - To reduce a whole number to an equivalent fraction, having a given denominator. RULE. Multiply the whole number by the given denominator, and place the product over the said denominator, and it will form the fraction required.