porism


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porism

(ˈpɔːrɪzəm)
n
(Mathematics) a type of mathematical proposition considered by Euclid, the meaning of which is now obscure. It is thought to be a proposition affirming the possibility of finding such conditions as will render a certain problem indeterminate or capable of innumerable solutions
[C14: from Late Latin porisma, from Greek: deduction, from porizein to deduce, carry; related to Greek poros passage]
porismatic, porismatical adj

porism

Rare. a kind of geometrical proposition of ancient Greek mathematics arising during the investigation of some other proposition either as a corollary or as a condition that will render a certain problem indeterminate. — porismatic, adj.
See also: Mathematics
References in periodicals archive ?
Porism LtdBrixtonLondonUNITED KINGDOMNUTS code: UKI
Porism, that, when the center of the circle falls within the triangle, the angle ABC is less than a right angle; and when the center of the circle falls outside the triangle, the angle ABC is greater than a right angle.
The last porism in the manuscript suggests a further interpretation of Euclid's results: fairness is never efficient when the society is aligned in the sense that the agents disagree primarily along one out of two political dimensions.
In the former kind, synthesis, or reversal of the analysis, constitutes an immediate demonstration of what was being sought; whereas in the latter kind, synthesis consists first in a geometrical construction or porism, which is then followed by the demonstration.
In this paper we will concentrate on the so-called Poncelet porism for this specific setting.
The rational cases correspond to Poncelet's porism, and any rational number, except for 1/2, is related to a closed polygon, either without or with self-intersections.
This is Pappus' porism, which was the inspiration of much of Maclaurin's work on loci, beginning in 1772 [5, p 40].
This paper is constructed as follows: first we define some terminologies such as Poncelet's traverse and Poncelet's porism in the second section.
We define a Poncelet's traverse and a Poncelet's porism in the following definitions:
TELECOMWORLDWIRE-23 October 2002-Increased use of broadband could make PCs safer, claims Porism (C)1994-2002 M2 COMMUNICATIONS LTD http://www.
Wider use of broadband should help to make PCs less vulnerable to attack, according to UK-based consultancy Porism Ltd.
An online UK schools guide and directory has been enhanced through a project carried out by Porism Ltd, a web site developer.