different between prism vs porism

English

Etymology

Late Latin prisma, from Ancient Greek ????????? (prísmatos), from Ancient Greek ?????? (prísma, “something sawed”), from ??????? (prízein, “to saw”).

Pronunciation

• IPA^(key): /?p??z?m/, [?p?????zm?]
• Rhymes: -?z?m

Noun

prism (plural prisms)

1. (geometry) A polyhedron with parallel ends of the same size and shape, the other faces being parallelogram-shaped sides.
2. A transparent block in the shape of a prism (typically with triangular ends), used to split or reflect light.
3. A crystal in which the faces are parallel to the vertical axis.

Hyponyms

• cylinder

Derived terms

Descendants

• ? Japanese: ???? (purizumu)
• ? Korean: ??? (peurijeum)
• ? Thai: ?????? (bprí-s??m)

Translations

Anagrams

• prims

English

Etymology

Ancient Greek ??????? (pórisma, “a deduction from a previous demonstration”).

Noun

porism (plural porisms)

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.
2. 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.

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