An easy introduction to the mathematics: in which the theory and practice are laid down and familiarly explained ... A complete and easy system of elementary instruction in the leading branches of the mathematics; ... Adapted to the use of schools, junior students at the universities, and private learners, especially those who study without a tutor. In two volumes, Volume 1
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added Algebra aliquot answer Arithmetic Astronomy called carry ciphers coefficient common denominator compound contained cost cube root cubic decimal mark denotes Diff difference Divide dividend division divisor drams equal equation Euclid's Elements Examples Explanation farthings former fourth gallons Geometry given fraction given number greater greatest common measure guineas hundred improper fraction improvements inches invention latter learning least common multiple least term left hand less logarithm lowest terms Mathematics Mixed Mathematics mixed number multiplicand Multiply number of terms Operation ounces pence plain pounds Prod proper quantity Quot quotient Reduce remainder repetend right hand figure rule second term shewn shews shillings square root subtract surd tens third thousand tion top line units unknown quantity vulgar fraction whence wherefore whole number yards
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 116 - 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 470 - 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 64 - Square Measure 144 square inches = 1 square, foot 9 square feet = 1...
Page 124 - 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 256 - ... 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 454 - 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 311 - 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.