 | Samuel Webber - 1808 - 466 σελίδες
...9, which belongs to no other digit whatever, except 3, namely, that any number divided by 9 leaves the same remainder, as the sum of its figures or digits divided by 9 ; which may be thus demonstrated. DEM0N. Let there be any number, as 3467 ; this separated into its... | |
 | Charles Hutton - 1811 - 406 σελίδες
...which, except the number 3, belongs to no other digit whatever ; namely, that " any number divided by Q, will leave the same remainder as the sum of its figures or digits divided by 9 :" which may be demonstrated in this manner. Demonstration. Let there be any number proposed, as 4658.... | |
 | Samuel Webber - 1812 - 260 σελίδες
...9, which belongs to no other digit whatever, except 3, namely, that any number divided by 9 leaves the same remainder, as the sum of its figures or digits divided by 9 ; which may be thus demon* strated. DEM0N. Let there be any number, as 3467 ; this separated into its... | |
 | Samuel Webber - 1812 - 246 σελίδες
...which belongs to no other digit 婦 hatever , except 3, namely, that any number divided by 9 leaves'the same remainder, as the sum of its figures or digits divided by 9 ; which may be thus demon strated. DEMON. Let there be any number, as 3467; this separated into its... | |
 | Jeremiah Joyce - 1812 - 274 σελίδες
...number 9, which belongs also to the number 3, but to none of the other digits; viz. that any number divided by 9, will leave the same remainder as the sum of digits divided by 9: thus 8769 divided by 9, leaves 1 as a remainder; and so will 8 + 7+6+7* or 18,... | |
 | Beriah Stevens - 1822 - 436 σελίδες
...the number 9, which, except the numbers, belongs to no other digit whatever ; viz. that any number divided by 9 will leave the same remainder as the sum of its figures or digits divided by 9 ; which is thus demonstrated : — Let the number 5432 be eiven : this separated into m several parts... | |
 | Charles Hutton - 1822 - 616 σελίδες
...number 9, which except the number 3, belongs to no other digit whatever ; namely, that ** any number divided by 9, will leave the same remainder as the sum of its figures or digit: divided by 9 ;" which may bt demonstrated in this manner. Demonstration. Let there be any number... | |
 | James Mitchell - 1823 - 666 σελίδες
...proof answers, always be 9, or a multiple of 9. This proof depends upon this property, that any number divided by 9, will leave the same remainder, as the sum of its digits when divided by the same number. 3. Another proof is, the 1st, 3d, 5th, &c. being taken from... | |
 | Charles Hutton - 1825 - 608 σελίδες
...number 9, which except the number 3, belongs to no other digit whatever; namely, that " any numl>er divided by 9 will leave the same remainder as the sum of it> figures or digits d ivided by 9 , which may be demonstrated in this manner. Demonstration Let there... | |
 | 1829 - 196 σελίδες
...586393 * This method of proof depends upon a properly of the number 9, which is, that " any number divided by 9, will leave the same remainder as the sum of its di?its divided by 9." nius. Take the number 465. This separated into its parts, becomes 400 -f 60-f-... | |
| |
... any number divided by 9, will leave the same remainder, as the sum of its figures, or digits, divided by 9 : which may be thus demonstrated. 
