Why did he not say, “He took on Him,” but used this expression, “He takes hold of”?
It is derived from the figure of persons pursuing those who turn away from them, and doing everything to overtake them as they flee, and to take hold of them as they are bounding away.
For when human nature was fleeing from Him, and fleeing far away (for we “were far off”— Eph. 2:13 ), He pursued after and overtook us.
He showed that He has done this only out of kindness, and love, and tender care.
[...] “Wherefore it behooved Him in all things to be made like unto His brethren” (2:16-17).
What is this, “in all things”? He was born, was brought up, grew, suffered all things necessary, at last He died. This is, “in all things to be made like unto His brethren.”
[...] And consider…how St Paul represents Him as having great zeal “to be made like unto us”: which was a sign of much care.
[...] For this cause did He leave the angels and the other powers, and come down to us, and took hold of us, and wrought innumerable good things.
He destroyed Death, He cast out the devil from his tyranny, He freed us from bondage: not by brotherhood alone did He honour us, but also in other ways beyond number.
For He was willing also to become our High Priest with the Father: for he adds, “That He might become a merciful and faithful High Priest in things pertaining to God.”
For this cause…He took on Him our flesh, only for Love to man, that He might have mercy upon us. For neither is there any other cause of the economy, but this alone.
For He saw us, cast on the ground, perishing, tyrannized over by Death, and He had compassion on us.
[...] We were become altogether enemies to God…; condemned, degraded, there was none who should offer sacrifice for us.
He saw us in this condition, and had compassion on us, not appointing a High Priest for us, but Himself becoming a High Priest…“to make reconciliation for the sins of the people. That He might be a merciful and faithful High Priest.”
[...] In order then that He might offer a sacrifice able to purify us, for this cause He has become man.
[...] He went through the very experience of the things which we have suffered…; He suffered much, He knows how to sympathize.
[...] He knows what tribulation is; He knows what temptation is, not less than we who have suffered, for He Himself also has suffered…. He will stretch forth His hand with great eagerness, He will be sympathizing.
John Chrysostom (c.347-407): Homily 5, 1-2 on the Epistle to the Hebrews.