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Definition of Incommensurable
1. Adjective. Impossible to measure or compare in value or size or excellence.
2. Adjective. Not having a common factor.
Definition of Incommensurable
1. a. Not commensurable; having no common measure or standard of comparison; as, quantities are incommensurable when no third quantity can be found that is an aliquot part of both; the side and diagonal of a square are incommensurable with each other; the diameter and circumference of a circle are incommensurable.
2. n. One of two or more quantities which have no common measure.
Definition of Incommensurable
1. Adjective. (mathematics) That cannot be measured as an integer or fraction; irrational. ¹
2. Adjective. Not able to be measured by the same standards as another term in the context; see measurement; contrast with unmeasurable or immeasurable, each of which means not able to be measured at all, the former more generally, the latter generally due to some infinite quality of the thing being described ¹
3. Noun. An incommensurable value or quantity; an irrational number. ¹
¹ Source: wiktionary.com
Definition of Incommensurable
1. [adj]
Lexicographical Neighbors of Incommensurable
Literary usage of Incommensurable
Below you will find example usage of this term as found in modern and/or classical literature:
1. The Thirteen Books of Euclid's Elements by Euclid, Johan Ludvig Heiberg (1908)
"If two incommensurable magnitudes be added together, the whole will also be
incommensurable with each of them ; and, if the whole be incommensurable ivith ..."
2. Plane and Solid Geometry by George Clinton Shutts (1913)
"Incommensurable MAGNITUDES. 421. In the discussion of quantities thus far only
commensurable magnitudes have been considered, except in theorems involving ..."
3. Elementary Algebra by John Henry Tanner (1904)
"An irrational number is also often called an incommensurable number, since it is
incommensurable with the unit 1. EXERCISES 1. ..."
4. A Treatise on Algebra by Charles Smith (1890)
"Incommensurable numbers. The ratio of two quantities cannot always be expressed
by the ratio of two whole numbers; for example, the ratio of a diagonal to a ..."
5. Elements of Algebra by Charles Davies (1839)
"The true form of the real incommensurable roots of an equation will remain ...
Each of the incommensurable roots being necessarily com- posed of an entire ..."
6. The Republic of Plato by Plato, Benjamin Jowett (1881)
"... less i, = 48 ; (2) two incommensurable diameters, ie the two first irrationals,
2 and 3 ; (3) the cube of 3, = 27, and divided by the cube of 3. ..."
7. An Elementary Treatise on Algebra: To which are Added Exponential Equations by Benjamin Peirce (1837)
"Incommensurable Roots. 215. A real root, which cannot be exactly expressed in
numbers, is called an incommensurable root. 216. Problem. ..."
8. Plane Trigonometry, for Colleges and Secondary Schools by Daniel Alexander Murray (1899)
"For example, the diagonal of a square is incommensurable with the side, ...
In other words, the values of incommensurable numbers can be found approximately ..."
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