v. Also 7–9 quinqui-. [f. L. quinque five + sect- ppl. stem of secāre to cut, after bi-, trisect.] To cut into five (equal) parts. Hence Quinquesecting vbl. sb.
1697. G. K., Disc. Geom. Problems, 7. By quinquisection of the Cord of an Angle it [the angle] is quinquisected.
1786. Phil. Trans., LXXVI. 16. Mr. Graham … perceived … how very much more easy a given line was to bisect than to trisect or quinquesect.
1809. Cavendish, ibid. XCIX. 225. Let a α be the arch to be quinquesected. Ibid., 227. In quinquesecting the error of the two middle points is 2.4 times greater than in bisecting.
1853. Sir W. R. Hamilton, in R. P. Graves, Life (1889), III. 453. The Royal Commissioners … have precisely quinquisected the diligence.
So Quinquesection, section into five parts.
1684. [see QUINTUPLATION].
1697. [see above].
1786. Phil. Trans., LXXVI. 16. The division of the arc of 90 … required trisections and quinquesections.
1825. J. Nicholson, Operat. Mechanic, 320. I was apprehensive some error might arise from quinquesection and trisection.
