ὑπεπιμόριος
ὑπεπιμόριος, ον, an arithmetical term, the reciprocal of ἐπιμόριος, represented by the fraction 1 /( 1 + 1 /n) or n/(n + 1 ), 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., Ar. 1.19 , Exc. 2 , Theo Sm. p.75 H., etc.; and so ὑπεπιμερής is the reciprocal of ἐπιμερής, Ar. l.c.—These ratios are called ὑπόλογοι, ἐπιμόριος etc. being πρόλογοι.