Yes you can, **IF** you consider the frisbee just a very small part almost flat of a large spherical object.

I think I understand what you mean. As if the frisbee was just a small part of a much larger sphere. Would that mean then that you would only be using a small portion of that measurement system (like coordinates)?

Yes, if you see an egg-shell through a microscope, what you see on the lens can receive plotted coordinates almost as a flat surface, lines almost parallels and perpendiculars, no visual perceptible curvature. Remember from geometry school, a circle is composed by infinite quantity of small straight lines.

Also remember, a curve is a line that you can measure and determine it is not straight. If you can not show or prove it is not straight, then for your point of view it is a straight line. May be that line is a crooked all warped through stars and galaxies, but this small segment you see may be straight.

For example, the horizon is a straight line for the observer, if the observer can see the horizon in front, sides and back of himself. If the observer moves very far away from inside of this flat circle, then he can see the circle edges and find out he was indeed inside a circle. It is all a reason of what you see and how you can measure.

Other than that, in true nothing in the universe is straight, not even light travelling for eons, everything is under the influence of some gravity, space/time deformations. Think about your home window glass, it seems straight and flat, but it is not. It was produced using molten glass over a tank of liquid molten tin metal, liquid glass floats ove the metal, becomes flat and smooth. But due the Earth's spherical format and gravity, that liquid tin metal surface is not truly straight, it is curved - the center will always be bulged, non even close to visually perceptible angle, but it is measurable with precise instrumentation.