One of the key texts for the Agnoetae was John 11:34 which says..
John 11:34 And [Jesus] said, Where have ye laid him? They said unto him, Lord, come and see.
This was taken by the Agnoetae as showing that our Lord was ignorant of some things, at least in his humanity. But St Cyril comments on this passage and very clearly illustrates that he would have had no sympathy with Themistius. His commentary is also a useful reminder of his view that the humanity was always the tool of the Word, as we discussed in relation to the Word so acting in his humanity that he felt no hunger for the forty days in the desert until the end.
St Cyril says..
When Jesus therefore saw her weeping, and the Jews also weeping which came with her, He groaned in the spirit, and was troubled, and said, Where have ye laid him?
Now since Christ was not only God by Nature, but; also Man, He suffers in common with the rest that which is human; and when grief begins somehow to be stirred within Him, and His Holy Flesh now inclines to tears, He does not allow It to indulge in them without restraint, as is the custom with us. But He groans in the spirit, that is, in the power of the Holy Spirit He reproves in some way His Own Flesh: and That, not being able to endure the action of the Godhead united with It, trembles and presents the appearance of trouble. For this I think to be the signification of "He was troubled;" for how otherwise could He endure trouble? Shall that Nature which is ever undisturbed and calm be troubled in any way? The flesh therefore is reproved by the Spirit, being taught to feel things beyond its own nature. For indeed on this account the Almighty Word of God was made in Flesh, or rather was made Flesh, that He might strengthen the weaknesses of the flesh by the energies of His own Spirit, and withdraw our nature from too earthly feelings, and transform it as it were to such feelings only as are pleasing to God. Surely it is an infirmity of human nature to be abjectly overcome by griefs, but this as well as the rest is brought into subjection, in Christ first, that it may be also in us.
Or thus we must understand the words: He groaned in the spirit and was troubled, viz:----as equivalent to: "Being moved to compassion by reason of many weeping, He in a manner gave commandment to His own Spirit to overthrow death before the time, and to raise up Lazarus." And it is not as being ignorant that He asks: Where have ye laid him? For He Who had known of Lazarus' death when He was in another part of the country, how could He be ignorant about the tomb? But He speaks thus as being averse to arrogance: therefore He did not say: "Let us go to the tomb, for I will awaken him," although asking the question particularly in the way He did has this significance. Moreover also by saying this, He prepared many to go before Him that they might shew Him that which He sought. With a set purpose therefore He said this also, drawing by His words many to the place, and appears not to know, not at all shrinking from the poverty of man's condition, although in His Nature God and knowing all things, not only those which have been, but also those which shall be, before their existence.
And the asking a question therefore does not imply any ignorance in Him Who for our sakes was made like unto us, but rather He is shown from this to be equal to the Father; for He too asks a question: Adam, where art thou? Christ also feigns ignorance and inquires: Where have ye laid him? so that through the inquiry a multitude might be gathered together to the manifestation, and that by His enemies, rather than by others, testimony should be given to the miracle of restoring to life one who was already corrupt.