| Colin MacLaurin - 1748 - 356 sider
...is lefs than the half of that which preceded it next but one. Now if from any Quantity you take away **more than its half, and from the Remainder, more than its half, and** proceed in this Manner, you will come at a Remainder lefs rhan any allignable Quantity. It appears... | |
| Colin MacLaurin - 1756 - 432 sider
...is lefs than the half of that which preceded it next but one. Now if from any quantity you take away **more than its half, and from the remainder more than its half, and** proceed in this manner, you will come at a remainder lefs than any affignable quantity. It appears... | |
| Robert Simson - 1762 - 466 sider
...lead of the propofed magnitudes. D Let AB and C be two- unequal magnitudes, of which AB is the Beater. **if from AB there be taken more than its half, and from the remainder more than its half, and** fo on ; there fhall at length remain a magnitude Ids than C. For C may be multiplied fo as at length... | |
| Euclid - 1765 - 464 sider
...the tenth book* that if there be two propufed unequal magnitudes, and from the greater he taken away **more than its half, and from the remainder more than its half, and** this be continually done, there will at laft remain fome magnitude that is lefs than the leaft of the... | |
| Robert Simson - 1775 - 520 sider
...lefs than the lead of the propofed magnitudes. Let AB and C be two unequal magnitudes, of which AB a **the greater. If from AB there be taken more .^ than its half, and from the remainder more than** ft its half, and fo on ; there fua'.l at length remain a magnitude lefs than C. For C may be multiplied... | |
| Euclid - 1781 - 520 sider
...the leaft of the propofcd magnitudes. • D Let AB and C be two unequal magnitudes, of which AB i: **the greater. If from AB there be taken more than its half, and from the remainder more than** f its half, and fo on; there fball at length remain a magnitude lefs than C. For C may be multiplied... | |
| Euclid - 1789 - 272 sider
...continually. Since, therefore, the circle ABCD is greater than the fpace s, and from the former there has been **taken more than its half, and from the remainder more than its half,** &c. there will at length remain fegments which, taken together, fhall be lefs than the excefs of the... | |
| John Playfair - 1795 - 400 sider
...leaft of the propofed magnitudes. r ° - , . », » .».i,-«i Let AB and C be two unequal magnitudes, **of which AB is the greater. If from AB there be taken** away its half, and from the remainder its half, and fo on ; there fliall at length remain a magnitude... | |
| Colin MacLaurin - 1796 - 504 sider
...is lefs than the half of that which preceded it next but one. Now if from any quantity you take away **more than its half, and from the remainder more than its half, and** proceed in this manner, you will come at a remainder lefs (Euclid Prop. i. Book 10) than any aflignable... | |
| Colin Macfarquhar, George Gleig - 1797
...in the proof of prop. I. bookx. which imports, that if, from the greater of two quantities, you take **more than its half, and from the remainder more than its half, and** fo continually, there will, at length, remain a quantity lefs than cither of thofe propofed. On this... | |
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