Easy Introduction to Mathematics, Volume 1Barlett & Newman, 1814 |
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Page xii
... appear so difficult and complicated , that the advantage of acquiring it cannot be worth the trouble . Geometry , according to his deter- mination ( for he is always positive ) , is of no use to any but common mechanics , and as he is ...
... appear so difficult and complicated , that the advantage of acquiring it cannot be worth the trouble . Geometry , according to his deter- mination ( for he is always positive ) , is of no use to any but common mechanics , and as he is ...
Page xiv
... appears that the last error is by far the worst but as the removal of the cause is not likely to be effected , various contrivances have been resorted to , in order to counteract as much as possible its bad effects : every possible ...
... appears that the last error is by far the worst but as the removal of the cause is not likely to be effected , various contrivances have been resorted to , in order to counteract as much as possible its bad effects : every possible ...
Page xxiv
... appears from one proof , properly conducted , and as completely commands our assent , as from many . But Moral Evidence admits of , and frequently requires an accumulation of proofs , and each inde- pendent argument in favour of the ...
... appears from one proof , properly conducted , and as completely commands our assent , as from many . But Moral Evidence admits of , and frequently requires an accumulation of proofs , and each inde- pendent argument in favour of the ...
Page xxvi
... appears , that Mathematics , considered only with respect to its immediate application , is indispensably necessary to complete the philosopher , the mariner , the soldier , the mechanic , and the artist ; but this excellent science ...
... appears , that Mathematics , considered only with respect to its immediate application , is indispensably necessary to complete the philosopher , the mariner , the soldier , the mechanic , and the artist ; but this excellent science ...
Page xxxii
... appear , rank as the lowest step in the progressive scale of knowledge ; by means of a series of accumulated improvements which have successively taken place during the space of nearly six thousand years , they have at length grown into ...
... appear , rank as the lowest step in the progressive scale of knowledge ; by means of a series of accumulated improvements which have successively taken place during the space of nearly six thousand years , they have at length grown into ...
Contents
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An Easy Introduction to the Mathematics: In Which the Theory and Practice ... Charles Butler No preview available - 2016 |
Common terms and phrases
added Algebra aliquot answer Arithmetic Avoirdupois bushels called carry ciphers coefficient common denominator composite number compound cost cube root decimal denotes Diff difference divide dividend division divisor drams equal equation Euclid's Elements EXAMPLES Explanation farthings former fourth gallons Geometry given number greater greatest common measure guineas hundred improper fraction inches lastly latter learning least common multiple least term likewise logarithm lowest terms mainder manner Mathematics method of proof mixed number moidores multiplicand Multiply number of terms OPERATION ounces pence pounds Prod Quot quotient Reduce remainder repetend right hand figure rule second term shewn shews shillings square root subtract surd tens third thousand tion top line TROY WEIGHT units unknown quantity 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 48 - LIQUID MEASURE 4 gills (gi.) = 1 pint (pt.) 2 pints = 1 quart (qt...
Page 98 - 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 42 - 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 448 - 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 54 - 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 106 - 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 234 - ... 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 432 - 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 138 - 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.