| Colin MacLaurin - 1748 - 431 páginas
...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 páginas
...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 páginas
...Book, arid is neceflaiy to fome of the Propofitions of this Book. IF from the greater of two unequal **magnitudes there be' taken more than its half, and...the remainder more than its half ; and fo on. there** fhall at length remain a magnitude lefs than the lead of the propofed magnitudes. D Let AB and C be... | |
| Euclid, Edmund Stone - 1765 - 464 páginas
...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 páginas
...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 páginas
...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... | |
| Colin MacLaurin - 1796 - 504 páginas
...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 foundation... | |
| Alexander Ingram - 1799 - 351 páginas
...^~s*Y**J the circle in the extremities of the arch. PROP. I. THEOR *. IF from the greater of two unequal **magnitudes, there be taken more than its half, and...the remainder more than its half; and fo on : There** mail at length remain a magnitude lefs than the leall of the propofed magnitudes. Let AB and C be two... | |
| Robert Simson - 1804
...Book, and is neceflary to fome of the Propofitions of this Book. IF from the greater of two unequal **magnitudes there be taken more than its half, and...the remainder more than its half; and fo on. there** mall at length remain a magnitude lefs than the leaft of the propofed magnitudes. Let AB and C be two... | |
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