Principles of ArithmeticDeighton, 1885 - 220 pages |
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Page 1
... define this science we must then first of all consider what is the kind of questions to which numbers are applied and what ... definition . We must therefore define the property of two groups which are said to contain the same number of ...
... define this science we must then first of all consider what is the kind of questions to which numbers are applied and what ... definition . We must therefore define the property of two groups which are said to contain the same number of ...
Page 2
... definition that two groups will contain the same number of objects when each contains the same number as a third group . Those objects which in the former groups correspond with the same object in the latter group will also correspond ...
... definition that two groups will contain the same number of objects when each contains the same number as a third group . Those objects which in the former groups correspond with the same object in the latter group will also correspond ...
Page 3
... definitions of these operations will be given hereafter . The relations arising from them are also independent of special objects , and hence an abstract science of arith- metic dealing with these relations is possible . Arithmetical ...
... definitions of these operations will be given hereafter . The relations arising from them are also independent of special objects , and hence an abstract science of arith- metic dealing with these relations is possible . Arithmetical ...
Page 31
... definition , and that 8 and I are 9 is also a definition . We have then , 7 and I ............ and I are together equal to 9 , where the dotted interval means that the 7 and I are to be added first and then another 1 is to be added ...
... definition , and that 8 and I are 9 is also a definition . We have then , 7 and I ............ and I are together equal to 9 , where the dotted interval means that the 7 and I are to be added first and then another 1 is to be added ...
Page 32
... definition of the numbers and the continued applica- tion of the same law . But this law is involved in the conception of number . It cannot make any difference to the total number of objects formed by 7 objects , 3 objects and I object ...
... definition of the numbers and the continued applica- tion of the same law . But this law is involved in the conception of number . It cannot make any difference to the total number of objects formed by 7 objects , 3 objects and I object ...
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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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