Artemis: Solo pusher with lane clear

This build is designed so you are quickly able to clear your lane solo. Initially you will still need support, but once you have the golden bow, you'll be chewing up minions. Later you will be able to easily push your lane while the rest of your team is in gang fights.

Boots are obvious.
Devourer's Gauntlet keeps you alive until you're clearing quickly. Bloodforge is another option, but is more expensive.
Golden Bow is the key to clearing your lane solo. Combined with your fast attack speed, you'll often be near the enemy's tower.
I pickup Malice first because its cheaper and boosts your basic attacks, of which you will have many in 3 seconds with your #2.
Deathbringer is next to boost your crit damage. With these items you have 50% crit rate before your passive, 65% with 3 stacks. Rage could be used in place of Deathbringer if you choose.
Frostbound hammer is to keep them from escaping or to let you escape. Feel free to substitute with something else based on your needs and play style.

Vengeful Assault is the focus here. Once you have Golden Bow you'll be doing damage in a small AoE making it easy to clear minions quickly. The faster you hit, the faster you crit, life steal, and gain the basic attack bonus from Malice.

Early on you will need your support. Once you have Devourer's Gauntlet, Golden Bow, and Warrior Tabi, you'll be able to handle your lane solo relatively well. When your support goes off to help others, if the enemy support doesn't leave, you'll need to play it closer to your tower. If they leave as well, you should be good to go. Just make sure you keep wards up so you don't get ganked.