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This small part was machined with ease in only about 10 minutes using the Tactical Cartesian Display. No trigonometry or mathematics was necessary. Not shown, the two holes were drilled into the rough stock (Aluminum Bronze) first and used to center the vice on the center of rotation. The C-Axis zero is established automatically by taking two indicator points and the Cartesian Display does the rest. It will compute the offset angle of the vice jaw and automatically align it with X and call that C zero. Thus. other than using a gauge pin to place the part on center, which you do by freeing the clamps, the position of the vice is arbitrary.
Using a 0.1875" endmill, the periphery is rough machined leaving only a few thousandths for finishing with a 0.075" endmill next.
With some finesse, one can machine respectable arcs using a kind-of Etch-a-Sketch motion with the XY axes. The other arc that is on-center with the rotary table can be machined by commanding the table to move to the exact angle to complete the arc.
The programmable rotary table is commanded to align the line representing the pawl tooth interior line with the Y-Axis so it can be perfectly machined at whatever angle it is at. The machinist does not need to know the angle, the angle is in the part model because the geometry is the CAD model.
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