Principles of ArithmeticDeighton, 1885 - 220 pages |
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... results to follow the order of historical development . In doing this I have been guided mainly by Cantor's " Geschichte der Mathematik , " the chief work on the history of mathematics . I have also consulted Hankel's " Vorlesungen über ...
... results to follow the order of historical development . In doing this I have been guided mainly by Cantor's " Geschichte der Mathematik , " the chief work on the history of mathematics . I have also consulted Hankel's " Vorlesungen über ...
Page 3
... results of the addition , subtraction , & c . of particular numbers , such as the theorem that 3 and 5 are 8 , or ... resulting division of arithmetic into two parts was made long ago by the Greeks . The former part they called Logistics ...
... results of the addition , subtraction , & c . of particular numbers , such as the theorem that 3 and 5 are 8 , or ... resulting division of arithmetic into two parts was made long ago by the Greeks . The former part they called Logistics ...
Page 4
... result of a convention that we use a hundred and five and do not use eight and six as a numerical word . But when once a standard form has been adopted we must reduce all other modes of expression to that form . The method by which this ...
... result of a convention that we use a hundred and five and do not use eight and six as a numerical word . But when once a standard form has been adopted we must reduce all other modes of expression to that form . The method by which this ...
Page 12
... results added to make the required number . The distinc- tive point of the system is that the ten , hundred , & c . are not expressed but indicated by the position of the number which multiplies them . Thus when 2 comes in the second ...
... results added to make the required number . The distinc- tive point of the system is that the ten , hundred , & c . are not expressed but indicated by the position of the number which multiplies them . Thus when 2 comes in the second ...
Page 19
... results in each instead of sixty- four as at present to remember , while the length of the calculations would not be much ... result is re- peated often and becomes better fixed on the memory . Lastly , we may mention , on account of its ...
... results in each instead of sixty- four as at present to remember , while the length of the calculations would not be much ... result is re- peated often and becomes better fixed on the memory . Lastly , we may mention , on account of its ...
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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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