ὑπεπιμόριος

ὑπεπιμόριος, ον, an arithmetical term, the reciprocal of ἐπιμόριος, represented by the fraction 1/(1 + 1/n) or n/(n + 1), Arist. Metaph. 1021a2:—so ὑφημιόλιος is the reciprocal of ἡμιόλιος (2/3 of 3/2), ὑπεπίτριτος of ἐπίτριτος (3/4 of 4/3), ὑπεπιτέταρτος of ἐπιτέταρτος (4/5 of 5/4), ὑπεπόγδοος of ἐπόγδοος (8/9 of 9/8), etc., Nicom. Ar. 1.19, Exc. 2, Theo Sm. p.75 H., etc.; and so ὑπεπιμερής is the reciprocal of ἐπιμερής, Nicom. Ar. l.c.—These ratios are called ὑπόλογοι, ἐπιμόριος etc. being πρόλογοι.

ὑπεπιμόριος, s. ὑπεπιμερής.