Principles of ArithmeticDeighton, 1885 - 220 pages |
From inside the book
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Page 3
... , and we are really comparing the number of objects with the number of words in the series one , two , three . We take these words in fact as our I - 2 INTRODUCTION . 3 to correspond when these groups are joined together. ...
... , and we are really comparing the number of objects with the number of words in the series one , two , three . We take these words in fact as our I - 2 INTRODUCTION . 3 to correspond when these groups are joined together. ...
Page 4
... fact that all these operations have been employed in this way . Thus in Latin two from twenty , in French four twenties , in English half a dozen are names for numbers . It is purely the result of a convention that we use a hundred and ...
... fact that all these operations have been employed in this way . Thus in Latin two from twenty , in French four twenties , in English half a dozen are names for numbers . It is purely the result of a convention that we use a hundred and ...
Page 6
... fact every number may be considered the sum of smaller numbers and these as the sums of others smaller still , till we arrive at numbers as small as we can imagine . So that if we give names to the first few numbers- how few does not ...
... fact every number may be considered the sum of smaller numbers and these as the sums of others smaller still , till we arrive at numbers as small as we can imagine . So that if we give names to the first few numbers- how few does not ...
Page 10
... fact that all languages say one hundred and ten and not eleven tens . The same motives which lead us after counting ten objects to put them on one side and begin again would lead us after counting ten heaps of ten each to form a larger ...
... fact that all languages say one hundred and ten and not eleven tens . The same motives which lead us after counting ten objects to put them on one side and begin again would lead us after counting ten heaps of ten each to form a larger ...
Page 14
... fact the Greeks never attempted to do so , but used instead special arti- fices to represent numbers above a thousand . The second disadvantage is seen only in comparing the Greek system with our own , not in comparing it with the Roman ...
... fact the Greeks never attempted to do so , but used instead special arti- fices to represent numbers above a thousand . The second disadvantage is seen only in comparing the Greek system with our own , not in comparing it with the Roman ...
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Common terms and phrases
2nd Edition 4th Edition addition arithmetical bers centimetres consecutive numbers contain Crown 8vo cube decimal fractions decimal places decimetre difference divisible by 9 divisors English equal number example F. A. Paley Fcap figures find the number finding the G.C.M. five four numbers fourth geometrical geometrical progression George Bell given number greater Greek Hence hundred hundredths Latin least common multiple length M.A. 3rd Edition means millimetres multiply Nicomachus of Gerasa notation number divisible number of combinations number of objects number of permutations number of variations number which divides numbers is equal obtain odd numbers perfect number place further places of decimals Post 8vo prime factors prime numbers prove pyramidal number quotient ratio remainder second number seven shew square inches square root subtract suppose symbols tens tenths thousand thousandths three numbers tion triangular number unaltered unit of measure vulgar fraction whole number words ΙΟ
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