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" Therefore, 54 measures b'oth 918 and 1998. It is also the greatest common measure; for, suppose there be a greater — then, since the greater measures 918 and 1998, it also measures the remainder, 162; and since it measures 162 and 918, it also measures... "
Arithmetical Spyglass and Teacher's Assistant: Intended as a Key and ... - Side 32
av Charles Waterhouse - 1842 - 166 sider
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Mathematics: Compiled from the Best Authors and Intended to be the ..., Volum 1

1801 - 446 sider
...to measure 2X918 + 162, or 1998, and so on. Therefore 54 measures both 918 and 1998. It is also the greatest common measure ; for suppose there be a greater,...measure the remainder 54 ; that is, the greater measures ft 2. What is the greatest common measure of 612 and* 54o • Ans. 36. 3. What is the greatest Common...
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Mathematics: Compiled from the Best Authors, and Intended to be the ..., Volum 1

Samuel Webber - 1808 - 466 sider
...540 ? Ans. 36. 3. What is the greatest common measure of 720, 336, and i7ae? Ans. s. It is also the greatest common measure ; for suppose there be a greater,...and since it measures 162 and 918, it also measures theramainder 108 ; in the same manner it will be found t» measure the remainder 54 ; that is, the...
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A System of Arithmetic: Reprinted from the Mathematical Text-book

Samuel Webber - 1812 - 260 sider
...measure 2X9 18"+ 162, or 1998, and so on. Therefore 5"4 measures both 918 and 1998. It is also the greatest common measure ; for suppose there be a greater,...is, the greater measures the less, which is absurd. Therefere i4 is the greatest common measure. In the very same manner, the demonstration may be applied...
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A New and Complete System of Arithmetick: Composed for the Use of the ...

Nicolas Pike - 1822 - 536 sider
...1836. In the same manner it will be found to measure 3x1836+324, or 3996, and so on. It is also the greatest common measure; for suppose there be a greater, then, since the greater measures 1856 and 3996,11 also measures the remainder 314 ; and since it measures 314 and i ",:'i, it also measures...
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A New and Complete System of Arithmetick: Composed for the Use of the ...

Nicolas Pike - 1822 - 562 sider
...measures the remainder 314 , and since it measures 314 and 1836, it also measures thr remainder 116 ; in the same manner it will be found to measure the remainder 108; tint is, the greater measures the less, which is absurd; therefore, 108 is the greatest common...
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A New and Easy Introduction to the Mathematics: Containing. A system of ...

Ira Wanzer - 1831 - 408 sider
...(459x2)-f~Mi or 972, another of the given numbers. 8o 27 is the common measure of4o9 and 972. It is also .he greatest common measure ; for suppose there be a greater; then, since the greater measures 459 and 972, it also measures the remainder 54; and since it measures 54 and 459, it also measures...
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The North American Arithmetic: Part Third, for Advanced Scholars, Volum 3

Frederick Emerson - 1834 - 300 sider
...found to measure 2 X 918 + 162, or 1998. Therefore, 54 measures b'oth 918 and 1998. It is also the greatest common measure; for, suppose there be a greater...is, the greater measures the less, which is absurd. 18. What is the greatest common measure of the numbers, 323 and 425 ? 19. What is the greatest common...
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The North American Arithmetic: For Advanced Scholars. part third

Frederick Emerson - 1839 - 300 sider
...be found to measure 2 X 918 + 162, or 1998. Therefore, 54 measures both 918 and 1998. It is also the greatest common measure; for, suppose there be a greater^...measures 162 and 918, it also measures the remainder 1 08 ; in the same manner it will be found to measure the remainder, 54; that is, the greater measures...
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The North American Arithmetic: part third

Frederick Emerson - 1840 - 302 sider
...be found to measure 2X 918 + 162, or 1998. Therefore, 54 measures both 918 and 1998. It is also the greatest common measure; for, suppose there be a greater...108; in the same manner it will be found to measure th$ remainder, 54; that is, the greater measures the less, which is absurd. 18. What is the greatest...
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The North American Arithmetic: for advanced scholars. Part third

Frederick Emerson - 1842 - 296 sider
...be found to measure 2 X 918+ 162, or 1998. "Pierefore, 54 measures both 918 and 1998. It is also the greatest common measure; for, suppose there be a greater...then, since the greater measures 918 and 1998, it al.-^. measures the remainder, 162; and since ii measures Io2 and 918, it also measures the remainder...
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