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" ... and it is evident, that as often as the whole divisor is contained in the whole dividend, so often must any part of the former be contained in a like part of the latter. * This follows from the second contraction in Multiplication... "
The First Part of the United States Arithmetic: Designed for Schools - Page 47
by William Vogdes - 1849 - 120 pages
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Mathematics: Compiled from the Best Authors, and Intended to be ..., Volume 1

Samuel Webber - Mathematics - 1808 - 466 pages
...dotted lim-_ their order. * The reason of this contraction is easily perceived; for cutting off the same figures from each is the same as dividing each of...often as the whole divisor is contained in the whole divideud, so often must any part of the divisor be contained in a like part of the dividend. This method...
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A Course of Mathematics ...: Composed for the Use of the Royal Military ...

Charles Hutton - Mathematics - 1811 - 406 pages
...rem. principle on which it is founded, is evident ; for, cutting off the same number of ciphers, or figures, from each, is the same as dividing each of them by 10, or 100, or 1O00, &c. according to the number of ciphers cut off ; and it is evident, that as often...
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A System of Arithmetic: Reprinted from the Mathematical Text-book

Samuel Webber - Arithmetic - 1812 - 260 pages
...lines their order. * The reason of this contraction is easily perceived ; for cuttine; off the same figures from each is the same as dividing each of...100, 1000, &c. and it is evident, that as often as making use of the remaining figures, as usual, and the quo* tient is the answer ; and what remains,...
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A Course of Mathematics: For the Use of Academies as Well as Private Tuition

Charles Hutton - Mathematics - 1812 - 620 pages
...345902^. principle on which it is founded, is evident ; for, cutting off the same number of ciphers, or figures, from each, is the same as dividing each of them by 10, or 100, or 1000, &c. according to the number of ciphers cutoff; and it is evident, that as often as...
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Easy Introduction to Mathematics, Volume 1

Charles Butler - Mathematics - 1814 - 540 pages
...equivalent to dividing both by 100, &c. as is obvious from the method of Notation; and it is plain, that as often as the whole divisor is contained in...divisor be contained in a like part of the dividend. Now the cutting off directed in the rule is nothing more than taking like parts of both, the figures...
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Easy Introduction to Mathematics, Volume 1

Charles Butler - 1814 - 540 pages
...equivalent to dividing both by 100, &c. as is obvious from the method of Notation ; and it is plain, that aa often as the whole divisor is contained in the whole dividend, so often must any part o! the divisor be contained in a like part of the dividend. Now the cutting oft directed in the rule...
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A Course of Mathematics: For the Use of Academies, as Well as Private ...

Charles Hutton - Mathematics - 1822 - 616 pages
...same as dividing each of them by 10, or 100, or 1000, &c. according to the number of ciphers cut off; and it is evident, that as often as the whole divisor...the whole dividend, so often must any part of the former be contained in a like part of the latter. * This follows from the second contraction in Multiplication,...
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A New and Complete System of Arithmetick: Composed for the Use of the ...

Nicolas Pike - Arithmetic - 1822 - 562 pages
...conceive; for cutting off the fime figures from eicli, is the fame as dividing each of them l)y 10, 1IJ<), 1000, &c. and it is evident, that as often as the whole divifor it contained in the whole dividend, fo often muft any part of the divifor be contained in the...
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A Course of Mathematics for the Use of Academies: As Well as ..., Volume 1

Charles Hutton - Mathematics - 1825 - 608 pages
...100, or 1000, £c. according to the number of ciphers cut oft ; and it is evident, that as often afl the whole divisor is contained in the whole dividend, so often must any part of the former be contained in a like part of the latter. * This follows from the second contraction in Multiplication,...
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A New and Easy Introduction to the Mathematics: Containing. A system of ...

Ira Wanzer - Arithmetic - 1831 - 408 pages
...each, is the same asdividing by 10, or 100, or 1000, &e according to, iKe number of figures cut off ; and it is evident, that as often as the whole divisor...often must any part of the divisor, be contained in the like part of the dividend. This method is used to avoid a needless repetition of ciphers, which...
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