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Definition of Commensurable
1. Adjective. Capable of being measured by a common standard. "Hours and minutes are commensurable"
Definition of Commensurable
1. a. Having a common measure; capable of being exactly measured by the same number, quantity, or measure.
Definition of Commensurable
1. Adjective. Able to be measured using a common standard ¹
2. Adjective. Related in size or scale; commensurate or proportionate ¹
3. Adjective. (mathematics) (''of two numbers'') Exactly divisible by the same number an integer number of times [ WP] ¹
¹ Source: wiktionary.com
Definition of Commensurable
1. [adj]
Lexicographical Neighbors of Commensurable
Literary usage of Commensurable
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)
"Since it has been proved that straight lines commensurable in length are always
commensurable in square also, while those commensurable in square are not ..."
2. Pelicotetics, Or, The Science of Quantity: Or, The Science of Quantity. An by Archibald Sandeman (1868)
"The product of two unlike incommensurable second roots of commensurable quantities
cannot be equal to a commensurable quantity. For xy being incommensurable ..."
3. Elements of Algebra by George Albert Wentworth (1888)
"A commensurable root is rational, and is either integral or fractional.
An incommensurable root is a real root which is not commensurable. ..."
4. An Elementary Treatise on Algebra: To which are Added Exponential Equations by Benjamin Peirce (1837)
"commensurable Roots. 211. A commensurable Root is a real root which can be exactly
expressed ... Problem,' To find the commensurable roots of the equation ..."
5. New University Algebra: A Theoretical and Practical Treatise, Containing by Horatio Nelson Robinson (1872)
"A number is commensurable with unity when it tan be expressed by an exact number
of units or parts of a unit ; a number which can not be so expressed is ..."
6. An Elementary Treatise on the Theory of Equations with a Collection of Examples by Isaac Todhunter (1882)
"commensurable ROOTS. 112. By a commensurable root is meant a root which can be
expressed exactly in a finite form, whole or fractional ; so that it involves ..."
7. A Treatise on Algebra: For the Use of Schools and Colleges by William Smyth (1861)
"A commensurable root, it will be recollected, is one which has a common measure
with unity. ... 230) entire numbers for its commensurable roots. ..."
8. Elements of Algebra: On the Basis of M. Bourdon, Embracing Sturm's and by Charles Davies (1871)
"295, Every equation in which the co-efficients aie whole numbers, that of the
first term being 1, will have whole numbers* only for its commensurable roots. ..."
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