Pronunciation: [pˈɔːɹɪzəm] (IPA) 
The word "Porism" is spelled as /ˈpɔːrɪz(ə)m/. The first syllable is pronounced as "pore" and the emphasis is on the second syllable "-rism". The letter "o" is pronounced as a long vowel "ɔː" and not as a short vowel "ɑ". The letter "i" is followed by "s" which makes the "i" sound like "ɪ". The letter "m" at the end of the word is pronounced as "-m". In summary, the correct spelling of "Porism" is /ˈpɔːrɪz(ə)m/.
Porism is a noun that refers to a proposition or theorem in mathematics that states certain conditions under which a result can be deduced. This term is derived from the Greek word "porisma," which means "statement." In mathematics, porisms are often used to derive or prove other theorems and propositions.
Porisms are particularly associated with the study of geometry. They are used to establish a condition that, if met, guarantees the existence of a geometric figure or relationship. Porisms are essentially auxiliary theorems or propositions that provide additional information or conditions to deduce a desired conclusion in geometry.
The concept of porism is closely related to that of a common notion or axiom, which is a widely accepted proposition taken as a basis for further reasoning. A porism serves as an aid in the logical progression of a mathematical argument or proof, helping to bridge the gap between initial assumptions and final conclusions.
Porisms have been utilized in various branches of mathematics, such as algebraic geometry, projective geometry, and elementary Euclidean geometry. They serve as essential tools in establishing or proving important theorems and propositions within these fields. Through the use of porisms, mathematicians are able to navigate complex mathematical landscapes and arrive at desired deductions based on specific conditions.
In geom., a proposition affirming the possibility of finding such conditions as will render a certain problem indeterminate, or capable of innumerable solutions.
Etymological and pronouncing dictionary of the English language. By Stormonth, James, Phelp, P. H. Published 1874.
The word "porism" comes from the Ancient Greek word "porismós" (πόρισμα), which means a corollary or a mathematical proposition. It is derived from the verb "porízō" (πορίζω), meaning to provide, to furnish, or to give. In mathematics, a porism refers to a proposition that is given as a corollary or an inference from a theorem. The term was popularized by Ancient Greek mathematicians and later adopted into Latin and other languages.
