This is a great Corki guide, however, I would like to recommend some things:
1. Use BBC coding to make the guide look prettier and help newer players understand the items/skills you are talking about.
2. Compress the guide, you can put all the "why not ___" into one chapter.

ok, 1. Lich bane.

if you build Lich bane as first item it's not strong at all. cause it has Ap dmg on hit that is up to your ap, but when you hav just lich bane, there's not enough ap point on corki, so, at early-middle game, tf is better at that time. you need to understand all games is about snowballing. you cannot snowball with lich bane. cause it's weak alone.

and the utilities of tf is much better than lich bane. when you hit enemy, that gives your MUCH MORE MOVEMENT SPEED rylai and TF makes you ultimate chaser. even in late game the spell blade and amazing movement speed of tf works well.


2. Why not archangel? think kog'maw.
it's important to kog'maw because of his ultimate cost lots of mana when he use ult in repeat. and ap kog'maw is strong pick for late game after 15lev

but to corki, it's not. and it just cost 20 mana. even ezreal needs more amounts of mana on Q, but corki is not.

corki is really strong after just 6level and it's destroyer in the middle time of game.

if you build archangel that means you just don't care aboout middle game dmg of corki. corki is more agressive pick than kog,(cause it hav escape/dash skill) so you should be strong in middle of game.

May i ask a question? Ok, i what arguments your guide is better than Facemelter Ap Corki? Does Trinity ,according to you, is more viable on ap Corki than a Lich Bane? We're all agree that Corki shines at lvl 6 but, he's kinda manavore so why Lich bane is not in your guide, or even Archangel staff?

Not efficient build. Corki is not a tank. He should have more damage items, and less HP stacking. Also on a pure AP build, you get more damage from Lich Bane, not Trinity Force.