# congruence

[kong-groo-uh ns, kuh n-groo-, kuh ng-]

- the quality or state of agreeing or corresponding.
- Mathematics. a relation between two numbers indicating that the numbers give the same remainder when divided by some given number.Compare residue(def 4b).

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## Origin of congruence^{}

Dictionary.com Unabridged
Based on the Random House Unabridged Dictionary, © Random House, Inc. 2018

## Related Words

correspondence, accord, harmonization, uniformity, similarity, conformance, coherence, conformation, congruity, accordance, harmony, compliance, conformity, conforming, congruency## Examples from the Web for congruence

### Contemporary Examples

### Historical Examples

#### This is the reason for placing it by itself, followed by the congruence theorems.

The Teaching of GeometryDavid Eugene Smith

#### The aim of this lecture is to establish a theory of congruence.

The Concept of NatureAlfred North Whitehead

#### You must understand at once that congruence is a controversial question.

The Concept of NatureAlfred North Whitehead

#### Finally the sixth axiom of congruence is that the relation of congruence is transitive.

The Concept of NatureAlfred North Whitehead

#### The source of order has already been indicated and that of congruence is now found.

The Concept of NatureAlfred North Whitehead

## congruence

### congruency (ˈkɒŋɡrʊənsɪ)

- the quality or state of corresponding, agreeing, or being congruent
- maths the relationship between two integers, x and y, such that their difference, with respect to another positive integer called the modulus, n, is a multiple of the modulus. Usually written x ≡ y (mod n), as in 25 ≡ 11 (mod 7)

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Collins English Dictionary - Complete & Unabridged 2012 Digital Edition
© William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

## Word Origin and History for congruence

### n.

mid-15c., from Latin congruentia "agreement, harmony, congruity," from congruentem (nominative congruens), present participle of congruere "to come together" (see congruent). Related: Congruency.

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Online Etymology Dictionary, © 2010 Douglas Harper