| 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,... | |
| 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... | |
| 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... | |
| 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.... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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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