composed of parts or elements that are all of the same kind; not heterogeneous: a homogeneous population.

of the same kind or nature; essentially alike.

Mathematics.

having a common property throughout: a homogeneous solid figure.

having all terms of the same degree: a homogeneous equation.

relating to a function of several variables that becomes multiplied by some power of a constant when each variable is multiplied by that constant: x2y3is a homogeneous expression of degree 5.

relating to a differential equation in which a linear combination of derivatives is set equal to zero.

Origin of homogeneous

1635–45; < Medieval Latinhomogeneus, equivalent to homogene- (stem of Greekhomogenḗs of the same kind; see homo-, gene) + -us-ous

Related formsho·mo·ge·ne·ous·ly, adverbnon·ho·mo·ge·ne·ous, adjectivenon·ho·mo·ge·ne·ous·ly, adverbnon·ho·mo·ge·ne·ous·ness, nounun·ho·mo·ge·ne·ous, adjectiveun·ho·mo·ge·ne·ous·ly, adverbun·ho·mo·ge·ne·ous·ness, nounCan be confusedheterogeneousheterogenoushomogeneoushomogenoushomogeneoushomogenous

composed of similar or identical parts or elements

of uniform nature

similar in kind or nature

having a constant property, such as density, throughout

maths

(of a polynomial) containing terms of the same degree with respect to all the variables, as in x ² + 2 xy + y ²

(of a function) containing a set of variables such that when each is multiplied by a constant, this constant can be eliminated without altering the value of the function, as in cos x / y + x / y

(of an equation) containing a homogeneous function made equal to 0

chemof, composed of, or concerned with a single phaseCompare heterogeneous

1640s, from Medieval Latin homogeneus, from Greek homogenes "of the same kind," from homos "same" (see homo- (1)) + genos "kind, gender, race, stock" (see genus). Earlier in this sense was homogeneal (c.1600).