## Easy Introduction to Mathematics, Volume 1Barlett & Newman, 1814 |

### From inside the book

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**coefficients**of the terms of any power of a binomial successively from each other , independent of any other power ; which is the foundation of Sir Isaac Newton's celebrated Binomial Theorem . Besides the common and hyperbolic ... Page 321

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**coefficients**; that the number of positive roots is equal to the number of changes in the signs of the terms ; that the**coefficient**of the second term is equal to the difference between the of age he became a student at the University ... Page 327

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**coefficients**by including fractions , radicals , and numbers of every description , he greatly improved , and gave a general method of resolving all Equations by numbers ; he likewise first applied the word nomial to all compound ... Page 329

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**coefficient**, affirmative , negative , pure , affected , unciæ , & c . and was , I believe , the first who ex- tracted the roots of Equations by approximation . The next whose writings deserve to be mentioned , is Albert Girard , an ... Page 331

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**coefficients**, " from whence many impor- tant properties have since been deduced ; " he greatly improved the numeral Exegesis , or the extraction of the roots of all Equations , by clear and explicit rules and methods , drawn from the ...### Other editions - View all

An Easy Introduction to the Mathematics: In Which the Theory and Practice ... Charles Butler No preview available - 2016 |

### Common terms and phrases

added Algebra answer Arithmetic Astronomy called carry ciphers coefficient column common denominator compound contained cube root cubic decimal denotes Diff difference Divide dividend division divisor drams equal equation Euclid's Elements EXAMPLES Explanation farthings former gallons Geometry given number greater greatest common measure guineas hundred improper fraction inches L. S. d latter learning least common multiple least term left hand logarithm lowest terms Mathematics Mixed Mathematics mixed number moidores Moral Evidence multiplicand Multiply namely nine number of terms OPERATION ounces pence pounds Prod Quot quotient Reduce remainder repetend result right hand figure rule shewn shews shillings simple square root subtract surd tens third thousand tion top line transpose transposition TROY WEIGHT units unknown quantity vulgar fraction whence wherefore whole number yards

### Popular passages

Page xxvi - 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 64 - LIQUID MEASURE 4 gills (gi.) = 1 pint (pt.) 2 pints = 1 quart (qt...

Page 114 - 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 466 - 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 62 - Square Measure 144 square inches = 1 square, foot 9 square feet = 1...

Page 122 - 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 252 - ... 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 450 - 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 307 - Multiply the whole number by the numerator of the fraction, and divide the product by the denominator ; or divide the whole number by the denominator of the fraction, and multiply the quotient by the numerator.

Page 238 - ... 2. Multiply each term in the multiplicand, beginning at the lowest, by the feet in the multiplier, and write...