Sorry for the confusion. I don't have a pic, pu maybe I can describe it in ASCII.
A table saw is just a flat surface (table) with a blade sticking up in the middle. It comes with an adjustable fence that you can position however far away from the blade you want. Looking at the table from the edge it would look like this:
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blade fence
From the top it looks like this:
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blade fence
So if you want to cut a board 6 inches wide, then you move the fence 6 inches away, lock it down and just run the board over the table surface. The blade cuts in a fixed position.
If you want to make a bevel cut (which is what you have been describing) , you can swivel the blade so that it makes an angle with the table surface.
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blade fence
Think of the front edge of the table as the x-axis, the depth of the table as the y-axis and a perpendicular to both (height) as the z-axis. This cut is angled relative to the z-axis. So when you run the board through instead of a perpendicular edge, you get a beveled edge. However both the x-axis and y-axis are still straight (look down on the board and its still a rectangle). Bevels can be anywhere from 0 to 45 degrees. If you want a 50 degree bevel then that is the same thing as a 40 degree bevel made on the board when it is flipped over.
Additionally, you can make mitre cuts. Both of the cuts described above have been straight cuts (relative to the x and y axis). A mitre cut is a cut that is angled relative to the boards x axis. Looking down on a table saw, a mitre cut might look like this:
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The diagonal lines represent a 2 x4 laying flat and the 3 straight lines in the middle is the saw blade. Notice that this cut will not leave a straight end on the board like the other cuts. When you look down on it, it is no longer a rectangle. For this cut you don't use the fence, but rather a mitre guide that comes with the table saw.