Origin of acnode

from Classical Latin*acus*(see acerose) + node

Math. an isolated point on the graph of an equation

Origin of acnode

from Classical LatinWebster's New World College Dictionary, Fifth Edition Copyright © 2014 by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

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**MLA Style**

"acnode." YourDictionary, n.d. Web. 05 December 2018. <https://www.yourdictionary.com/acnode>.

**APA Style**

acnode. (n.d.). Retrieved December 05th, 2018, from https://www.yourdictionary.com/acnode

Noun

(*plural* acnodes)

- (geometry) An isolated point not upon a curve, but whose coordinates satisfy the equation of the curve so that it is considered as belonging to the curve.

English Wiktionary. Available under CC-BY-SA license.

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Cite this page

**MLA Style**

"acnode." YourDictionary, n.d. Web. 05 December 2018. <https://www.yourdictionary.com/acnode>.

**APA Style**

acnode. (n.d.). Retrieved December 05th, 2018, from https://www.yourdictionary.com/acnode

- The centre is a conjugate point (or
**acnode**) and the curve resembles fig. - It may be remarked that we cannot with a real point and line obtain the node with two imaginary tangents (conjugate or isolated point or
**acnode**), nor again the real double tangent with two imaginary points of contact; but this is of little consequence, since in the general theory the distinction between real and imaginary is not attended to. - The branch, whether re-entrant or infinite, may have a cusp or cusps, or it may cut itself or another branch, thus having or giving rise to crunodes or double points with distinct real tangents; an
**acnode**, or double point with imaginary tangents, is a branch by itself, - it may be considered as an indefinitely small re-entrant branch. - Secondly, if two of the intersections coincide, say if the line infinity meets the curve in a onefold point and a twofold point, both of them real, then there is always one asymptote: the line infinity may at the twofold point touch the curve, and we have the parabolic hyperbolas; or the twofold point may be a singular point, - viz., a crunode giving the hyperbolisms of the hyperbola; an
**acnode**, giving the hyperbolisms of the ellipse; or a cusp, giving the hyperbolisms of the parabola. - The singular kinds arise as before; in the crunodal and the cuspidal kinds the whole curve is an odd circuit, but in an acnodal kind the
**acnode**must be regarded as an even circuit.

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