From BiblePortal Wikipedia

King James Dictionary [1]

Heave, heev. pret. heaved, or hove pp. heaved, hove, formerly hoven. Gr. to breathe.

1. To lift to raise to move upward.

So stretch'd out huge in length the arch fiend lay,

Chain'd on the burning lake, nor ever hence

Had ris'n, or heaved his head.

2. To cause to swell.

The glittering finny swarms

That heave our friths and crowd upon our shores.

3. To raise or force from the breast as, to heave a sigh or groan, which is accompanied with a swelling or expansion of the thorax. 4. To raise to elevate with high.

One heaved on high.

5. To puff to elate. 6. To throw to cast to send as, to heave a stone. This is a common use of the word in popular language, and among seamen as, to heave the lead. 7. To raise by turning a windlass with up as, to heave up the anchor. Hence, 8. To turn a windlass or capstern with bars or levers. Hence the order, to heave away.

To heave ahead, to draw ship forwards.

To heave astern, to cause to recede to draw back.

To heave down, to throw or lay down on one side to careen.

To heave out, to throw out. With seamen, to loose or unfurl a sail, particularly the stay-sails.

To heave in stays, in tacking, to bring a ship's head to the wind.

To heave short, to draw so much of a cable into the ship, as that she is almost perpendicularly above the anchor.

To heave a strain, to work at the windlass with unusual exertion.

To heave taught, to turn a capstern, &c. till the rope becomes straight. See Taught and Tight.

To heave to, to bring the ship's head to the wind, and stop her motion.

To heave up, to relinquish so to throw up as, to heave up a design. Vulgar.

Heave, heev. To swell, distend or dilate as, a horse heaves in panting. Hence,

1. To pant to breathe with labor or pain as, he heaves for breath. 2. To keck to make an effort to vomit. 3. To rise in billows, as the sea to swell. 4. To rise to be lifted as, a ship heaves. 5. To rise or swell, as the earth at the breaking up of frost.

To heave in sight, to appear to make its first appearance as a ship at sea, or as a distant object approaching or being approached.

We observe that this verb has often the sense of raising or rising in an arch or circular form, as in throwing and in distention, and from this sense is derived its application to the apparent arch over our heads, heaven.

Heave, n. heev. A rising or swell an exertion or effort upward.

None could guess whether the next heave of the earthquake would settle or swallow them.

1. A rising swell, or distention, as of the breast.

These profound heaves.

2. An effort to vomit. 3. An effort to rise.

Webster's Dictionary [2]

(1): ( v. i.) To make an effort to vomit; to retch; to vomit.

(2): ( v. t.) To force from, or into, any position; to cause to move; also, to throw off; - mostly used in certain nautical phrases; as, to heave the ship ahead.

(3): ( v. i.) To be thrown up or raised; to rise upward, as a tower or mound.

(4): ( v. i.) To rise and fall with alternate motions, as the lungs in heavy breathing, as waves in a heavy sea, as ships on the billows, as the earth when broken up by frost, etc.; to swell; to dilate; to expand; to distend; hence, to labor; to struggle.

(5): ( v. i.) To make an effort to raise, throw, or move anything; to strain to do something difficult.

(6): ( v. t.) To raise or force from the breast; to utter with effort; as, to heave a sigh.

(7): ( n.) An effort to raise something, as a weight, or one's self, or to move something heavy.

(8): ( n.) An upward motion; a rising; a swell or distention, as of the breast in difficult breathing, of the waves, of the earth in an earthquake, and the like.

(9): ( n.) A horizontal dislocation in a metallic lode, taking place at an intersection with another lode.

(10): ( v. t.) To throw; to cast; - obsolete, provincial, or colloquial, except in certain nautical phrases; as, to heave the lead; to heave the log.

(11): ( v. t.) To cause to move upward or onward by a lifting effort; to lift; to raise; to hoist; - often with up; as, the wave heaved the boat on land.

(12): ( v. t.) To cause to swell or rise, as the breast or bosom.

Wilson's Dictionary of Bible Types [3]

 Numbers 15:20 (c) The lifting and moving back and forth of the sacrifices of the Israelites was called heaving. It represents the Christian holding up before the Lord figuratively and waving back and forth before His face the beauty and loveliness of Christ, the Blood of Christ, the sacrifice of the Saviour, so that he calls attention to the virtues of His Son, rather than to any merits of his own, (See also  Numbers 18:19).