Used in AV for the act of dedication, outside sacred precincts, of tithes (Num. 18: 24–9) or votive gifts (Deut. 12: 11). ‘To heave’ = to select; it was that part of the offering which was retained by the priests.
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"heave offering." In A Dictionary of the Bible. Ed. W. R. F. Browning. Oxford Biblical Studies Online. May 19, 2013. <http://www.oxfordbiblicalcstudies.com/article/opr/t94/e845>.
"heave offering." In A Dictionary of the Bible. , edited by W. R. F. Browning. Oxford Biblical Studies Online, http://www.oxfordbiblicalcstudies.com/article/opr/t94/e845 (accessed May 19, 2013).