Easy Introduction to Mathematics, Volume 1Barlett & Newman, 1814 |
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Page xiv
... former obstinate misconduct . - Nevertheless , he palliates it with the mild name of juvenile indiscretion ; attributes the whole to the ignorance or negli- gence of his tutors , whose peculiarities ( and perhaps their virtues ) are the ...
... former obstinate misconduct . - Nevertheless , he palliates it with the mild name of juvenile indiscretion ; attributes the whole to the ignorance or negli- gence of his tutors , whose peculiarities ( and perhaps their virtues ) are the ...
Page xxiv
... former therefore produces absolute , but the latter can , at the most , produce only moral certainty . 6. As Demonstration is always accompanied with certainty , rules laid down , which are in all cases capable of being demon- strated ...
... former therefore produces absolute , but the latter can , at the most , produce only moral certainty . 6. As Demonstration is always accompanied with certainty , rules laid down , which are in all cases capable of being demon- strated ...
Page xxx
... former kind may be reckoned those who deny the existence of a superintending and particular Providence ; they pretend that the GREAT CREATOR having made and furnished the world , put it in motion , and imposed on it certain laws , has ...
... former kind may be reckoned those who deny the existence of a superintending and particular Providence ; they pretend that the GREAT CREATOR having made and furnished the world , put it in motion , and imposed on it certain laws , has ...
Page xxxi
... former in his Principles of Human Knowledge , and Dialogues between Hylas and Philonous ; and the latter in A Treatise on Human Nature and his Essays ) have attempted to prove , that we cannot be certain of our own existence , or that ...
... former in his Principles of Human Knowledge , and Dialogues between Hylas and Philonous ; and the latter in A Treatise on Human Nature and his Essays ) have attempted to prove , that we cannot be certain of our own existence , or that ...
Page xxxii
... former is called SCIENCE , the latter ART ; and since practice must have been established long before theory could be formed , it plainly follows that every science must have been an art at first ; and since the observation and ...
... former is called SCIENCE , the latter ART ; and since practice must have been established long before theory could be formed , it plainly follows that every science must have been an art at first ; and since the observation and ...
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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.