Origin of cissoid

Classical Greek*kissoeid?s,*ivylike from

*kissos,*ivy +

*eidos,*-oid

Math. a curve converging into a pointed tip

Origin of cissoid

Classical Greek designating the angle formed by the concave sides of two intersecting curves

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

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"cissoid." YourDictionary, n.d. Web. 09 November 2018. <https://www.yourdictionary.com/cissoid>.

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cissoid. (n.d.). Retrieved November 09th, 2018, from https://www.yourdictionary.com/cissoid

Noun

(*plural* cissoids)

- (geometry) Any of a family of curves defined as the locus of a point,
*P*, on a line from a given fixed point and intersecting two given curves,*C*_{1}and*C*_{2}, where the distance along the line from*C*_{1}to*P*remains constant and equal to the distance from*P*to*C*_{2}.*The cissoid of a circle and a line is a conchoid*

Origin

Ancient Greek, meaning "ivy-like".

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

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Cite this page

**MLA Style**

"cissoid." YourDictionary, n.d. Web. 09 November 2018. <https://www.yourdictionary.com/cissoid>.

**APA Style**

cissoid. (n.d.). Retrieved November 09th, 2018, from https://www.yourdictionary.com/cissoid

- A volume entitled Opera posthuma (Leiden, 1703) contained his "Dioptrica," in which the ratio between the respective focal lengths of object-glass and eye-glass is given as the measure of magnifying power, together with the shorter essays De vitris figurandis, De corona et parheliis, &c. An early tract De ratiociniis tin ludo aleae, printed in 16J7 with Schooten's Exercitationes mathematicae, is notable as one of the first formal treatises on the theory of probabilities; nor should his investigations of the properties of the
**cissoid**, logarithmic and catenary curves be left unnoticed. - The two treatises on the cycloid and on the
**cissoid**, &c., and the Mechanica contain many results which were then new and valuable. - Thus Nicomedes invented the conchoid; Diodes the
**cissoid**; Dinostratus studied the quadratrix invented by Hippias; all these curves furnished solutions, as is also the case with the trisectrix, a special form of Pascal's limacon. - The pedal equation with the focus as origin is p 2 =ar; the first positive pedal for the vertex is the
**cissoid**and for the focus the directrix. - The Greek geometers invented other curves; in particular, the conchoid, which is the locus of a point such that its distance from a given line, measured along the line drawn through it to a fixed point, is constant; and the
**cissoid**, which is the locus of a point such that its distance from a fixed point is always equal to the intercept (on the line through the fixed point) between a circle passing through the fixed point and the tangent to the circle at the point opposite to the fixed point.

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