It's called  'the art of archery' and not 'the art of following arrows'.

The kneeling bowman had aimed at a remarkably distant place. To him, the proximity of an attainable boundary was by no means sufficient.

With the strength of his arms, thighs and back, he would bend both ends of the elastic limb together and attach a string between them, made of the intestines or hide of the animal he'd had for his last meal. With the skillfulness of his fingers and the muscles of his arms, thighs and back he drew the string andÉ aimed.

As the picture indicates, the Assyrians and Greeks held the arrow at eye level and directed the bow with one arm stretched out from the body towards the target, forming an equilateral triangle, which in similar form is used in optics as a model for sight today.

In Christian art of the late Middle Age it was generally only the eye of the archer that was depicted and then named GOD. He would send golden arrows from above, as a reply to the wand of Mercury.