English Dictionary

porism

名詞

(geometry, number theory) A proposition affirming the possibility of finding such conditions as will render a certain determinate problem indeterminate or capable of innumerable solutions. / A corollary.

日本語の意味

(幾何学・数論において) ある定まった問題に対して、無限に多くの解が得られる条件や、不定形となる状態を生じさせる条件が存在する可能性を認める命題。または、その結果としての補論。

After analyzing the construction, she formulated a porism showing how certain constraints could be adjusted to produce infinitely many solutions.

解析の後、彼女はある命題を定式化し、それは特定の問題を不定にして無数の解を許すような条件が見つかることを主張していた。

意味（1）

(geometry, number theory) A proposition affirming the possibility of finding such conditions as will render a certain determinate problem indeterminate or capable of innumerable solutions.

意味（2）

A corollary.

Porism: something between a problem and a theorem or that in which something is proposed to be investigated. A Porism is a proposition in which it is proposed to demonstrate that some one thing, or more things than one, are given, to which, as also to each of innumerable other things, not given indeed, but which have the same relation to those which are given, it is to be shewn that there belongs some common affection described in the proposition.

porisms （ plural ）