Definitions for cissoid
cis·soid

WikipediaRate this definition:0.0 / 0 votes

1. Cissoid

   In geometry, a cissoid ((from Ancient Greek κισσοειδής (kissoeidēs) 'ivy-shaped') is a plane curve generated from two given curves C1, C2 and a point O (the pole). Let L be a variable line passing through O and intersecting C1 at P1 and C2 at P2. Let P be the point on L so that O P ¯ = P 1 P 2 ¯ . {\displaystyle {\overline {OP}}={\overline {P_{1}P_{2}}}.} (There are actually two such points but P is chosen so that P is in the same direction from O as P2 is from P1.) Then the locus of such points P is defined to be the cissoid of the curves C1, C2 relative to O. Slightly different but essentially equivalent definitions are used by different authors. For example, P may be defined to be the point so that O P ¯ = O P 1 ¯ + O P 2 ¯ . {\displaystyle {\overline {OP}}={\overline {OP_{1}}}+{\overline {OP_{2}}}.} This is equivalent to the other definition if C1 is replaced by its reflection through O. Or P may be defined as the midpoint of P1 and P2; this produces the curve generated by the previous curve scaled by a factor of 1/2.

Webster DictionaryRate this definition:0.0 / 0 votes

1. Cissoidnoun

   a curve invented by Diocles, for the purpose of solving two celebrated problems of the higher geometry; viz., to trisect a plane angle, and to construct two geometrical means between two given straight lines

2. Etymology: [Gr. like ivy; ivy + e'i^dos form.]

WikidataRate this definition:0.0 / 0 votes

1. Cissoid

   In geometry, a cissoid is a curve generated from two given curves C1, C2 and a point O. Let L be a variable line passing through O and intersecting C1 at P1 and C2 at P2. Let P be the point on L so that OP = P1P2. Then the locus of such points P is defined to be the cissoid of the curves C1, C2 relative to O. Slightly different but essentially equivalent definitions are used by different authors. For example, P may be defined to be the point so that OP = OP1 + OP2. This is equivalent to the other definition if C1 is replaced by its reflection through O. Or P may be defined as the midpoint of P1 and P2; this produces the curve generated by the previous curve scaled by a factor of 1/2. The word "cissoid" comes from the Greek kissoeidēs "ivy shaped" from kissos "ivy" and -oeidēs "having the likeness of".

Chambers 20th Century DictionaryRate this definition:0.0 / 0 votes

1. Cissoid

   sis′soid, n. a plane curve consisting of two infinite branches symmetrically placed with reference to the diameter of a circle, so that at one of its extremities they form a Cusp (q.v.), while the tangent to the circle at the other extremity is their common asymptote. [Gr. kissoeidēs.]

How to pronounce cissoid?

1. Alex

   US English

   David

   US English

   Mark

   US English

   Daniel

   British

   Libby

   British

   Mia

   British

   Karen

   Australian

   Hayley

   Australian

   Natasha

   Australian

   Veena

   Indian

   Priya

   Indian

   Neerja

   Indian

   Zira

   US English

   Oliver

   British

   Wendy

   British

   Fred

   US English

   Tessa

   South African

How to say cissoid in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of cissoid in Chaldean Numerology is: 4

2. Pythagorean Numerology

   The numerical value of cissoid in Pythagorean Numerology is: 6

References

1. ^ Wikipedia
   https://en.wikipedia.org/wiki/Cissoid
2. ^ Webster Dictionary
   https://www.merriam-webster.com/dictionary/cissoid
3. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=cissoid
4. ^ Chambers 20th Century Dictionary
   https://www.gutenberg.org/files/37683/37683-h/37683-h.htm#:~:text=cissoid