different between porism vs purism
porism
English
Etymology
Ancient Greek ??????? (pórisma, “a deduction from a previous demonstration”).
Noun
porism (plural porisms)
- (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.
- 1845, Robert Potts, Euclid's Elements
- 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.
- 1845, Robert Potts, Euclid's Elements
- In the original Greek of Euclid's Elements the corollaries to the propositions are called porisms.
- 1893, Florian Cajori, A History of Mathematics
- 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.
- 1845, Robert Potts, Euclid's Elements
References
- Porism: "A proposition affirming the possibility of finding one or more of the conditions of an indeterminate theorem." - Dugald Stewart
- Porism: "A proposition affirming the possibility of finding such conditions as will render a certain problem indeterminate or capable of innumerable solutions." - John Playfair
- porism on Wikipedia.Wikipedia
- porism at OneLook Dictionary Search
Anagrams
- impros, primos
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purism
English
Etymology
From French purisme
Noun
purism (countable and uncountable, plural purisms)
- An insistence on pure or unmixed forms.
- (linguistics) The desire to use words and forms derived from what is considered the native element in a given language instead of elements considered borrowed or foreign.
- (uncountable) An insistence on the traditionally correct way of doing things.
- (countable) An example of purist language etc.
Derived terms
- neo-purism
- ultrapurism
Related terms
- purist
- puristic
Translations
Further reading
- purism in Webster’s Revised Unabridged Dictionary, G. & C. Merriam, 1913.
- purism in The Century Dictionary, New York, N.Y.: The Century Co., 1911.
Anagrams
- Primus, primus
Romanian
Etymology
From French purisme
Noun
purism n (uncountable)
- purism
Declension
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