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" Lemma, if from the greater of two unequal magnitudes there be taken more than its half, and from the remainder more than its half, and so on, there shall at length remain a magnitude less than the least of the proposed magnitudes. "
Elements of Geometry: Containing the Principal Propositions in the First Six ... - Página 213
por Euclid - 1789 - 272 páginas
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1804 - 440 páginas
...IF from the greater of two unequal magnitudes there be taken away its half, and from the remainder its half; and fo on : There will at length remain a magnitude lefs than the lead of the propofed magnitudes. Let AB and C be two unequal magnitudes, of which AB is the greater....
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 518 páginas
...necessary ^*v*-^ to some of the propositions of this book. SseN. IF from the greater of two unequal magnitudes there be taken more than its half, and from the remainder more than its half, and so on, there shall at length remain a magnitude less than the least of the proposed magnitudes. D Let...
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The British encyclopedia, or, Dictionary of arts and sciences, Volumen3

William Nicholson - 1809
...proof of the 1st proposition of book 10, which is, that if from the creator of two quantities, yon take more than its half, and from the remainder more than its half, and so continually, there will, at length, remain a quantity less than either of those proposed. On this...
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The British Encyclopedia: Or, Dictionary of Arts and Sciences ..., Volumen3

William Nicholson - 1809
...proof of the 1st proposition of book 10, which is, mat if from the greater of two quantities, yon take more than its half, and from the remainder more than its half, and so continually, there wi&, at length, remain a quantity less than either of those proposed. On this...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1810 - 518 páginas
...Let AB and C be two unequal magnitudes, of which AB is the greater. If from AB there be taken more rj than its half, and from the remainder more than its half, and so on ; there shall at length remain a magnitude less than C. For C may be multiplied so, as at length...
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Pocket Encyclopedia: Or, A Dictionary of Arts, Sciences, and ..., Volumen1

Edward Augustus Kendall - 1811
...the 1st proposition of lunik 10, which is, that if from the greater of. t\vo. quantities, you take more than its half, and from the remainder more than its half, and so continually, there will at length remain a quantity less than either of those proposed. On this...
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A pocket encyclopædia, or library of general knowledge, Volúmenes1-4

Edward Augustus Kendall - 1811
...proof of the 1st proposition of book 10, which is, that if from the greater of two quantities, you take more than its half, and from the remainder more than its half, and so continually, there will at length remain a quantity less than either of thoca proposed. On this...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volumen5

John Mason Good - 1813
...hook, and is necessary to some of the propositions of this book. If from the greater of two unequal magnitudes, there be taken more than its half, and from the remainder more than its half; and so on: there shall at length remain a magnitude less than the least of the proposed magnitudes. Prop....
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814
...circle EFGH, above the space S: Because, by the preceding Lemma, if from the greater of two unequal magnitudes there be taken more than its half, and from the remainder move than its half, and so on, there shall at length remain a magnitude less than the least of the...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 páginas
...circle EFGH, above the space S : Because, by .the preceding Lemma, if from the greater of two unequal magnitudes there be taken more than its half, and from the remainder more than its half, and so on, there shiill at length remain a magnitude less than the least of the proposed magnitudes. Let...
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