Drawing tools up in profile and calculating cut widths

as requested on support…

I want the Letter Lines to be Approx 1mm Wide at the Surface.
…501 or 502…
How Deep should I plunge with the most appropriate Tool?

While this can be done using trigonometry, one also has to calculate the chord, as well as the tangent/connection of a line to a circle because the #502 and #502 have a tapered ball end.

It is easiest to instead just draw up both tools in profile…

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Start by checking the dimension of the taper and drawing the corner radius:

Draw a vertical straight line:

and drag it into register with the circle:

Select both

and rotate by the taper angle:

Duplicate:

and Mirror Horizontal:

and drag into registration with the original:

Delete a redundant circle

Then draw a line to define where the circle should be trimmed off:

Done

Then use Trim Vectors

to remove what is not wanted:

OK

Delete the line:

Select everything and Join Vectors:

Draw a rectangle centered on the tip:

and set its width:

Then select everything and Trim Vectors again:

until one arrives at:

OK

J

OK

Join Vectors

Draw another 1mm wide rectangle centered at the tip of the drawing:

Select both:

and use Boolean Intersection:

OK

keeping the original vectors:

Use Node Editing:

To remove what is not wanted:

d

Done

Checking the dimensions, we see that to arrive at a 1mm wide width with a 40 degree #502 it would be necessary to cut to a depth of 1.12mm if cutting a single line font, for which see:

The most expedient thing to do is to use as close to a monoline font as one can source and to then inset as shown above.

Resources for doing the math are listed in:

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