ἀσύμπτωτος

A. not falling in, full, of face or body, Hp. Hum. 4, Gal. 11.25, al.; not closing, of the edges of a wound, ἀ. χείλη Antyll. ap. Orib. 7.11.10; not liable to collapse, Anon.Lond. 26.50.

II. not touching, τῇ ψυχῇ Plu. Lib. 7.

2. esp. in Math., of lines or planes which never meet, e. g. parallel straight lines, Hero *Deff. 70; of lines which do not cut a curve, non-secant, ἀ. τῇ τομῇ αἱ ΓΔ, ΓΕ Apollon.Perg. Con. 2.1, cf. 14; ἀσύμπτωτος (sc. γραμμή), ἡ, asymptote, of the hyperbola, ib.2.3, etc.; of the conchoid, Procl. in Euc. p.366 F.