edge (n.) 1
ardour, keen desire
Ham III.ii.259 [Hamlet to Ophelia] It would cost you a groaning to take off mine edge [i.e. satisfying my sexual appetite would end up with you groaning in labour]
MM I.iv.60 [Lucio to Isabella, of Angelo] a man ... [who] doth rebate and blunt his natural edge / With profits of the mind
R2 I.iii.296 [Bolingbroke to John of Gaunt] who can ... cloy the hungry edge of appetite / By bare imagination of a feast
TS I.ii.72 [Petruchio to Hortensio, of marrying a rich wife whatever her qualities] She moves me not, or not removes at least / Affection's edge in me