Easy Introduction to Mathematics, Volume 1Barlett & Newman, 1814 - Mathematics |
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Page 264
... least term , 2. The greatest term , } called the extremes . 3. The number of terms . 4. The common difference . 5. The sum of all the terms . Any three of these five being given , the remaining two may be found , as is shewn by the ...
... least term , 2. The greatest term , } called the extremes . 3. The number of terms . 4. The common difference . 5. The sum of all the terms . Any three of these five being given , the remaining two may be found , as is shewn by the ...
Page 265
... least term , the greatest term , and the number of terms , being given , to find the common difference . RULE . Subtract the least term from the greatest , and divide the remainder by 1 less than the number of terms ; the quotient will ...
... least term , the greatest term , and the number of terms , being given , to find the common difference . RULE . Subtract the least term from the greatest , and divide the remainder by 1 less than the number of terms ; the quotient will ...
Page 266
... least is 4 , and the greatest 800 ? Ans . 20 . 12. A farmer bought 100 oxen , for the first he paid 31. and for the ... term , the greatest term , and the common dif- ference being given , to find the number of terms . RULE . Subtract ...
... least is 4 , and the greatest 800 ? Ans . 20 . 12. A farmer bought 100 oxen , for the first he paid 31. and for the ... term , the greatest term , and the common dif- ference being given , to find the number of terms . RULE . Subtract ...
Page 267
... least payment was 51. the greatest 291. and the common dif ference 41 .; how ... term . RULE I. Divide the sum of the terms by the number of terms . II ... least term . 19. The sum of an arithmetical progression , consisting of 11 terms ...
... least payment was 51. the greatest 291. and the common dif ference 41 .; how ... term . RULE I. Divide the sum of the terms by the number of terms . II ... least term . 19. The sum of an arithmetical progression , consisting of 11 terms ...
Page 268
... least share ? Ans . 3 shillings . 293. Given the least term , the number of terms , and the com- mon difference , to find the greatest term . RULE . Multiply the number of terms by the common differ- ence , to the product add the least term ...
... least share ? Ans . 3 shillings . 293. Given the least term , the number of terms , and the com- mon difference , to find the greatest term . RULE . Multiply the number of terms by the common differ- ence , to the product add the least term ...
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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 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...