Principles of ArithmeticDeighton, 1885 - 220 pages |
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Page 156
... SQUARE ROOTS AND INCOMMENSURABLE QUANTITIES . THE square root of a given number is a number whose square is equal to the given number . Thus 2 is the square root of 4 , 3 is the square root of 9 , 4 of 16 , & c . If we take the series ...
... SQUARE ROOTS AND INCOMMENSURABLE QUANTITIES . THE square root of a given number is a number whose square is equal to the given number . Thus 2 is the square root of 4 , 3 is the square root of 9 , 4 of 16 , & c . If we take the series ...
Page 157
Homersham Cox (the younger). because the square of 1 is less than 2 or 3 and the square of 2 is greater than 2 or 3 ; the square roots of 5 , 6 , 7 cannot be whole numbers for the square of 2 is less than 5 , 6 or 7 and the square of 3 ...
Homersham Cox (the younger). because the square of 1 is less than 2 or 3 and the square of 2 is greater than 2 or 3 ; the square roots of 5 , 6 , 7 cannot be whole numbers for the square of 2 is less than 5 , 6 or 7 and the square of 3 ...
Page 180
... SQUARE ROOTS . IN the extraction of square roots two cases present themselves . We may either wish to find the square root of a number which is an exact square or we may wish to approximate to the square root of a number which is not an ...
... SQUARE ROOTS . IN the extraction of square roots two cases present themselves . We may either wish to find the square root of a number which is an exact square or we may wish to approximate to the square root of a number which is not an ...
Page 181
... square root will contain 1 figure , if the number contain 3 or 4 figures , its square root will contain 2 figures , if the number contain 5 or 6 figures its square root will contain 3 figures . When the root contains one figure we can ...
... square root will contain 1 figure , if the number contain 3 or 4 figures , its square root will contain 2 figures , if the number contain 5 or 6 figures its square root will contain 3 figures . When the root contains one figure we can ...
Page 182
... square root of 3969 . Since 3 times 120 together with the square of 3 ( or 3 times 3 ) is the same thing as 3 times 123 , the work may be written thus : 3969 ( 63 3600 123 ) 369 369 In finding the 6 we take no notice of the last two ...
... square root of 3969 . Since 3 times 120 together with the square of 3 ( or 3 times 3 ) is the same thing as 3 times 123 , the work may be written thus : 3969 ( 63 3600 123 ) 369 369 In finding the 6 we take no notice of the last two ...
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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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