- Transcendental curve
- Transcendental Tran`scen*den"tal, a. [Cf. F. transcendantal,
G. transcendental.]
1. Supereminent; surpassing others; as, transcendental being
or qualities.
[1913 Webster]
2. (Philos.) In the Kantian system, of or pertaining to that which can be determined a priori in regard to the fundamental principles of all human knowledge. What is transcendental, therefore, transcends empiricism; but is does not transcend all human knowledge, or become transcendent. It simply signifies the a priori or necessary conditions of experience which, though affording the conditions of experience, transcend the sphere of that contingent knowledge which is acquired by experience. [1913 Webster]

3. Vaguely and ambitiously extravagant in speculation, imagery, or diction. [1913 Webster]

Note: In mathematics, a quantity is said to be transcendental relative to another quantity when it is expressed as a transcendental function of the latter; thus, a^{x}, 10^{2x}, log x, sin x, tan x, etc., are transcendental relative to x. [1913 Webster]

{Transcendental curve} (Math.), a curve in which one ordinate is a transcendental function of the other.

{Transcendental equation} (Math.), an equation into which a transcendental function of one of the unknown or variable quantities enters.

{Transcendental function}. (Math.) See under {Function}. [1913 Webster]

Syn: {Transcendental}, {Empirical}.

Usage: These terms, with the corresponding nouns, transcendentalism and empiricism, are of comparatively recent origin. Empirical refers to knowledge which is gained by the experience of actual phenomena, without reference to the principles or laws to which they are to be referred, or by which they are to be explained. Transcendental has reference to those beliefs or principles which are not derived from experience, and yet are absolutely necessary to make experience possible or useful. Such, in the better sense of the term, is the transcendental philosophy, or transcendentalism. Each of these words is also used in a bad sense, empiricism applying to that one-sided view of knowledge which neglects or loses sight of the truths or principles referred to above, and trusts to experience alone; transcendentalism, to the opposite extreme, which, in its deprecation of experience, loses sight of the relations which facts and phenomena sustain to principles, and hence to a kind of philosophy, or a use of language, which is vague, obscure, fantastic, or extravagant. [1913 Webster]

*The Collaborative International Dictionary of English.
2000.*

### Look at other dictionaries:

**Transcendental curve**— In mathematics, a transcendental curve is a curve that is not an algebraic curve. Here for a curve C what matters is the point set (typically in the plane) underlying C , not a given parametrisation. For example the unit circle is an algebraic… … Wikipedia**transcendental curve**— noun : a curve whose equations contain transcendental functions … Useful english dictionary**Transcendental**— Tran scen*den tal, a. [Cf. F. transcendantal, G. transcendental.] 1. Supereminent; surpassing others; as, transcendental being or qualities. [1913 Webster] 2. (Philos.) In the Kantian system, of or pertaining to that which can be determined a… … The Collaborative International Dictionary of English**Transcendental equation**— Transcendental Tran scen*den tal, a. [Cf. F. transcendantal, G. transcendental.] 1. Supereminent; surpassing others; as, transcendental being or qualities. [1913 Webster] 2. (Philos.) In the Kantian system, of or pertaining to that which can be… … The Collaborative International Dictionary of English**Transcendental function**— Transcendental Tran scen*den tal, a. [Cf. F. transcendantal, G. transcendental.] 1. Supereminent; surpassing others; as, transcendental being or qualities. [1913 Webster] 2. (Philos.) In the Kantian system, of or pertaining to that which can be… … The Collaborative International Dictionary of English**Curve**— For other uses, see Curve (disambiguation). A parabola, a simple example of a curve In mathematics, a curve (also called a curved line in older texts) is, generally speaking, an object similar to a line but which is not required to be straight.… … Wikipedia**List of curve topics**— This is a list of curve topics in mathematics. See also curve, list of curves, and list of differential geometry topics.*acnode *algebraic curve *arc *asymptote *asymptotic curve *Barbier s theorem *barycentric… … Wikipedia**Algebraic curve**— Algebraic Al ge*bra ic, Algebraical Al ge*bra ic*al, a. 1. Of or pertaining to algebra; using algebra; according to the laws of algebra; containing an operation of algebra, or deduced from such operation; as, algebraic characters; algebraical… … The Collaborative International Dictionary of English**Butterfly curve (transcendental)**— [ curve (click for larger image).] The butterfly curve is a transcendental plane curve discovered by Temple H. Fay. The curve is given by the parametric equations::x = sin(t) left(e^{cos(t)} 2cos(4t) sin^5left({t over 12} ight) ight):y = cos(t)… … Wikipedia**Butterfly curve**— There are two plane curves called the butterfly curve, one algebraic and one transcendental:*Butterfly curve (algebraic) *Butterfly curve (transcendental) … Wikipedia