cissoidn.

Brit.

/ˈsɪsɔɪd/, U.S.

/ˈsɪsɔɪd/

Forms: In 1600s cissoeide.

Etymology: < Greek κισσοειδής ivy-like, < κισσός ivy: see -oid suffix. The cusp of the cissoid resembles the re-entrant angles of an ivy-leaf.

Mathematics.

1. A curve of the second order invented by Diocles.If from any two points lying on a fixed diameter of a circle, and equidistant from the centre, perpendiculars be drawn to the circumference, and a straight line be drawn from one extremity of the diameter to that of either perpendicular, the locus of the point in which this straight line cuts the other perpendicular will be a cissoid of Diocles, having its cusp at the end of the diameter. In later times the term has been extended to curves similarly described, where the generating curve is not a circle.

ΘΚΠ

the world > relative properties > number > geometry > curve > [noun] > of specific order

cissoid1656

conchoid1798

quartic1854

nonic1856

Cayleyan1873

1656 tr. T. Hobbes Elements Philos. iii. xx. 233 When they cannot exhibit the quantity sought for with the helpe of a conique Section, they call it a Lineary Probleme... Of this kinde are the Spiral lines, the Quadratices, the Concheoides, and the Cissoeides.

1706 E. Halley in Miscellanea Curiosa (Royal Soc.) II. 70 By the help of the Parabola, Cissoid, or any other Curve.

1798 Anti-Jacobin 16 Apr. 181/1 For me, ye Cissoids, round my Temples bend Your wandering Curves.

1879 G. Salmon Treat. Higher Plane Curves V. 182 If a parabola roll on an equal one, the locus of the vertex of the moving parabola will be the cissoid.

2. cissoid angle n.

ΚΠ

1728 E. Chambers Cycl. at Angle Cissoid Angle,..is the inner Angle, made by two Spherical Convex Lines intersecting each other.

So 1796 C. Hutton Math. & Philos. Dict. at Angle

Derivatives

ciˈssoidal adj. pertaining to a cissoid.

ΘΚΠ

the world > relative properties > number > geometry > curve > [adjective] > relating to curve of specific order

conchoidal1666

semi-cubic1673

semi-cubical1674

cubical1728

cissoidal1796

bicircular1867

1796 C. Hutton Math. & Philos. Dict. at Cissoid The whole infinitely long cissoidal space, contained between the infinite asymptote..and the curves..of the cissoid, is equal to triple the generating circle.

This entry has not yet been fully updated (first published 1889; most recently modified version published online March 2022).

单词	cissoid
释义	cissoidn. Brit. /ˈsɪsɔɪd/, U.S. /ˈsɪsɔɪd/ Forms: In 1600s cissoeide. Etymology: < Greek κισσοειδής ivy-like, < κισσός ivy: see -oid suffix. The cusp of the cissoid resembles the re-entrant angles of an ivy-leaf. Mathematics. 1. A curve of the second order invented by Diocles.If from any two points lying on a fixed diameter of a circle, and equidistant from the centre, perpendiculars be drawn to the circumference, and a straight line be drawn from one extremity of the diameter to that of either perpendicular, the locus of the point in which this straight line cuts the other perpendicular will be a cissoid of Diocles, having its cusp at the end of the diameter. In later times the term has been extended to curves similarly described, where the generating curve is not a circle. ΘΚΠ the world > relative properties > number > geometry > curve > [noun] > of specific order cissoid1656 conchoid1798 quartic1854 nonic1856 Cayleyan1873 1656 tr. T. Hobbes Elements Philos. iii. xx. 233 When they cannot exhibit the quantity sought for with the helpe of a conique Section, they call it a Lineary Probleme... Of this kinde are the Spiral lines, the Quadratices, the Concheoides, and the Cissoeides. 1706 E. Halley in Miscellanea Curiosa (Royal Soc.) II. 70 By the help of the Parabola, Cissoid, or any other Curve. 1798 Anti-Jacobin 16 Apr. 181/1 For me, ye Cissoids, round my Temples bend Your wandering Curves. 1879 G. Salmon Treat. Higher Plane Curves V. 182 If a parabola roll on an equal one, the locus of the vertex of the moving parabola will be the cissoid. 2. cissoid angle n. ΚΠ 1728 E. Chambers Cycl. at Angle Cissoid Angle,..is the inner Angle, made by two Spherical Convex Lines intersecting each other. So 1796 C. Hutton Math. & Philos. Dict. at Angle Derivatives ciˈssoidal adj. pertaining to a cissoid. ΘΚΠ the world > relative properties > number > geometry > curve > [adjective] > relating to curve of specific order conchoidal1666 semi-cubic1673 semi-cubical1674 cubical1728 cissoidal1796 bicircular1867 1796 C. Hutton Math. & Philos. Dict. at Cissoid The whole infinitely long cissoidal space, contained between the infinite asymptote..and the curves..of the cissoid, is equal to triple the generating circle. This entry has not yet been fully updated (first published 1889; most recently modified version published online March 2022). < n.1656
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