I normally avoid referencing my own stuff but I will in this case because you seem to be looking for the basics and this will avoid having to type stuff out. This is an introduction to tool geometry:
http://www.machinistblog.com/grinding-lathe-tools-on-a-belt-sander/
http://www.machinistblog.com/grinding-lathe-tools-on-a-belt-sander-part-2/#more-5888
http://www.machinistblog.com/grinding-lathe-tools-on-a-belt-sander-part-3/#more-5897
We also had a LONG discussion about tool geometry here:
http://hobby-machinist.com/threads/turning-tool-and-facing-tool-questions.36687/
What kind of lathe do you have and what do you use to grind tools with?
Let me clear one more thing up. Lantern type tool holders, Armstrong and others, canted the tool bit at an angle. That angle varied but it required the machinist to alter the grind of the tool to suit the application. For example, a tool for brass needs zero back rake and maybe up to 5 degrees of side rake. An operator would have to grind a flat on the top of the tool that would be perpendicular to the work and then lock it into the Armstrong tool holder. That flat would then be at right angles to the work. For other materials like steel, he could just grind in a few degrees of back rake, a little side rake and the standard relief angles and he would be set. All of this changes with a QCTP.
A QCTP will hold the tool bit perpendicular to the work. Any required tool angles must be ground into the tool since there is no cant provided by the tool holder. For example, that tool for brass that requires zero back rake now simply needs some relief angles ground and the tool is ready for use; the top is already perpendicular to the work so no top angles are needed.
Almost all modern tooling used in the last 75 years is like this. Is it better? I think so; it is certainly a more rigid way to hold a lathe tool and it is far simpler to get the tool on center. You have to sort of change your paradigm of what a tool tip should look like and I hope the articles above will give you a head start on that.
Keep in mind that when you speak of
shear, you are speaking of shear planes and sheer lines. That is a whole other discussion that involves the physics at the point of cut and how the various angles affect chip formation. While this is important if you want to put in the time to study it, it isn't necessary to grind a good tool. Sort of like not understanding how a modern TV works but still having the ability to turn it on and watch it.
Look this stuff over and ask questions. One of us will be able to sort things out for you.