quinquesectv.
/ˈkwɪŋkwᵻsɛkt/, U.S. /ˈkwɪŋkwəˌsɛk(t)/ Chiefly Mathematics.
transitive. To divide into five equal parts. Also occasionally intransitive.
ΘΚΠ
the world > relative properties > number > specific numbers > five > [verb (transitive)] > divided into five
quinquesect1697
1697 G. Keith Ess. Discov. Geom. Probl. 7 By quinquisection of the Cord of an Angle it [sc. the angle] is quinquisected.
1786 Philos. Trans. (Royal Soc.) 76 16 Mr. Graham..perceived..how very much more easy a given line was to bisect than to trisect or quinquesect.
1809 Philos. Trans. (Royal Soc.) 99 225 Let a α be the arch to be quinquesected.
1853 Sir W. R. Hamilton in R. P. Graves Life Sir W. R. Hamilton (1889) III. 453 The Royal Commissioners..have precisely quinquisected the diligence.
1932 Isis 17 143 He lay down his original points, following Graham's principle of the practicability of bisecting an arch or right line but not trisecting, quinquesecting, etc.
1976 Vistas in Astron. 20 146 To proceed beyond 15°, he had to trisect and quinquesect angles in the traditional manner, reversing the compasses to cross-check each division.
1998 G. E. Martin Geom. Constr. i. 20 To quinquesect a given angle is to construct an angle having measure one-fifth the measure of the given angle.
Derivatives
ˈquinqueˌsecting n.
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1809 Philos. Trans. (Royal Soc.) 99 227 In quinquesecting the error of the two middle points is 2.4 times greater than in bisecting.
1976 Vistas in Astron. 20 145 The remainder of the divisions were probably laid off by bisecting the 60° space to give 30° and 15° spaces, followed by trisecting and quinquesecting, to obtain the single degrees.
This entry has been updated (OED Third Edition, December 2007; most recently modified version published online March 2022).
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