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Porism vs Purism - What's the difference?

porism | purism |

As nouns the difference between porism and purism

is that porism is (geometry) a proposition affirming the possibility of finding such conditions as will render a certain determinate problem indeterminate or capable of innumerable solutions while purism is (uncountable) an insistence on the traditionally correct way of doing things, especially of language.

porism

English

Noun

(en noun)
  • (geometry) A proposition affirming the possibility of finding such conditions as will render a certain determinate problem indeterminate or capable of innumerable solutions.
  • Porism : A proposition affirming the possibility of finding one or more of the conditions of an indeterminate theorem.
    Porism : A proposition affirming the possibility of finding such conditions as will render a certain problem indeterminate or capable of innumerable solutions. -
  • 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. -
    In the original Greek of Euclid's Elements the corollaries to the propositions are called porisms . - Robert Potts
    The term porism''' is vague in meaning. The aim of a '''porism is not to state some property or truth, like a theorem, nor to effect a construction, like a problem, but to find and bring to view a thing which necessarily exists with given numbers or a given construction, as, to find the centre of a given circle, or to find the G.C.D. of two given numbers.'' -
    (Webster 1913)

    purism

    English

    Noun

  • (uncountable) An insistence on the traditionally correct way of doing things, especially of language
  • (countable) An example of purist language etc