The noun ayil carries three related senses rooted in the concept of strength and might: (1) a ram — the male sheep used extensively in sacrifice; (2) an oak or terebinth tree — standing tall as a symbol of strength; and (3) a strong man, chief, or pillar of a community. All senses converge in the idea of robust, standing strength.
The most theologically charged appearance of ayil is in Genesis 22:13: when Abraham raises the knife over Isaac, God provides a ram [ayil] caught in the thicket — the substitutionary sacrifice that prefigures the atoning death of Christ. The sacrificial system of Leviticus and Numbers relies heavily on rams: the ordination offerings for priests, guilt offerings, and Nazirite completion offerings all require ayil. In Isaiah 61:3, the redeemed of the Lord are called 'oaks [ayilim] of righteousness' — planted by God, standing strong, displaying His splendor. The ram's horn (shofar) — though a different Hebrew word — carries the same visual memory: the ram at Moriah, the provision of God, the sound that calls His people to attention.