...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,...

...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...

...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...

...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....

...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...

...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...

...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...

...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...

...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...

...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,...