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" A proposition affirming the possibility of finding such conditions as will render a certain problem indeterminate or capable of innumerable solutions. "
Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ... - Page 67
by Robert Potts - 1876 - 403 pages
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Account of the Life and Writings of Robert Simson, M.D.: Late Professor of ...

William Trail - Mathematicians - 1812 - 216 pages
...indeterminate ; or more particularly, *' a Porifm is a Propo" fition affirming the poffibility of finding fuch conditions " as will render a certain problem indeterminate, or- capable "of innumerable folutions."§ But though I admire the ingenuity, and fully admit the foundnefs, of this definition,...
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A Philosophical and Mathematical Dictionary: Containing an ..., Volume 2

Charles Hutton - Astronomy - 1815 - 686 pages
...a problem which becomes indeterminate ; or more particularly ' a porism is a proposition affirming the possibility of finding such conditions as will...indeterminate, or capable of innumerable solutions.' But though I admire the ingenuity, and fully admit the soundness, of this deinition, and also the utility...
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The Elements of geometry [Euclid book 1-3] in general terms, with notes &c ...

Euclides - 1821 - 294 pages
...as a locus. From this account of the origin of Porisms they may be defined. " Propositions asserting the possibility of finding such conditions as will...render a certain Problem indeterminate or capable of several solutions." We may now proceed to the enunciation of questions. They contain, besides some...
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Works, with a memoir of the author, Volume 3

John Playfait - 1822 - 516 pages
...Porisms, it follows, that a Porism may be defined, A proposition affirming the possibility of Jinding such conditions as 'will render a certain problem...indeterminate, or capable of innumerable solutions. To this definition, the different characters which Pappus has given will apply without difficulty....
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Encyclopaedia Britannica; Or A Dictionary of Arts, Sciences, and ..., Volume 17

Encyclopedias and dictionaries - 1823 - 872 pages
...not a little obscure, but will be plainef if expressed thus : " A porism is a proposition affirming the possibility of finding such conditions as will...indeterminate, or capable of innumerable solutions." This définition agrees with Pappus's idea of these propositions, so far at least as they can be understood...
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Elements of Geometry: With Notes

John Radford Young - Euclid's Elements - 1827 - 228 pages
...enunciation was shown to be necessary. In Leslie.s Geometry * A Porism is " a proposition affirming the possibility of finding such conditions as will...indeterminate, or capable of innumerable solutions." This definition of a porism is given by Professor Playfair in vol. 3. of the Transactions of the Royal...
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The London encyclopaedia, or, Universal dictionary of ..., Part 2, Volume 17

Thomas Curtis (of Grove house sch, Islington) - 426 pages
...definition 15 not a little obscure ; it will be plainer expressed thus: ' A porism is a position affirming the possibility of finding such conditions as will...render a certain problem indeterminate or capable of town merable solutions.' This definition agrees »itii Pappus's idea of these propositions, so far...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1837 - 410 pages
...fulfils certain conditions, is called the locus of that point. 2. A porism is a proposition affirming the possibility of finding such conditions as will...indeterminate, or capable of innumerable solutions. 3. Isoperimetrical figures are such as have their perimeters, or bounding lines, equal. Schol. 1. Several...
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The British Cyclopaedia of the Arts, Sciences, History, Geography ...

1838 - 1014 pages
...not a little obscure, but will be plainer if expressed thus : " A porism is a proposition affirming the possibility of finding such conditions as will...indeterminate, or capable of innumerable solutions." This definition agrees with Pappus's idea of these propositions, so far at least as they can be understood...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 pages
...the Royal Society of Edinburgh, for the year 1792, defines a porism to be "A proposition affirming the possibility of finding- such conditions as will...definition represents a porism as almost the same with an indeterminate problem. There is a large class of indeterminate problems which are, in general,...
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