The Project function allows you to "borrow" geometry from another sketch, body, workplane, etc to use in your current sketch. For example if I had a component with a bored hole in it and I wanted to create another component which will be the bushing for that hole that will carry a shaft. I place my sketch on a plane that is perpendicular to the bore hole axis, and create a sketch on that plane, I can then Project the bore diameter into the sketch to help me create the bushing. Project geometry can be linked to the original, if you desire, so when the original, you projected geometry from changes, the Projected sketch updates automatically. This is a very simple explanation of the Project functionality.
Slice is a sketch tool to "remove" all material back to the sketch surface. If you are trying to sketch on an interior surface or plane of a component it may be very hard to tell what edge is what. The Slice tool gives you a clear focus on your sketch. It is just a convenience to make the sketch easier to execute correctly. The Slice tool removes all the material between your view and the sketch plane so what if removes depends on your sketch viewing direction. It is very similar to the Section Analysis tool but only for sketching.
John Hackney, Retired
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