Manually milling non-circular curves

The ellipse has always fascinated me , in 85' we bought a CNC mill for the shop and in the manual was a page on programming a ellipse . I had no need to make one so I didn't pay it any attention , one day a tech was in the shop fixing the machine and I asked him about the ellipse program he said "don't waste your time on it , we can't get to work" . In 85' CADCAM was in it's infancy especially for a small time machine shop . I bought one anyway (total waste of money) . Anyhow Maplehead got me thinking about it again and now that Google is our friend I Googled it and found some interesting jigs https://www.google.com/search?q=how...fAhWCHjQIHU9tAVUQsAR6BAgCEAE&biw=1366&bih=626
But it was all for wood , how did they do it in the pre CNC days in metal ? My guess is a pattern made by hand and then use a hydraulic tracer .
Or something along the lines of the Rose lathe .
https://www.google.com/search?rlz=1........0....1..gws-wiz.....0..0i131.lEq8jKwmOgA
 
Try drawing a angled line or a circle on a etch a sketch. It is exactly just as difficult. I have done some irregular shapes. The problem is when it’s a mirrored image or you need a duplicate. One way I found that helps is saw cut you part to your ruff shape. Leave a 1/4” around the part and use that to try out and learn the motions of what’s needed to get you around the part. Then hopefully you’ve gotten the hang enough that there’s not much to get to your scrub line. Just sand to line with what you have.
 
The basic fundamentals of machining require hand/eye co-ordination, that was the first thing we learned in shop class. Matter of fact, when we started working with mills, the first job we were given was to write our name with a Bridgeport. Clamped a block of wood in the vise and had at it with a 3/16" end mill about 1/8" deep. If you had a short name, or even got cocky, the instructor would make you do it in cursive. We did have one Polish student that never got his done........:grin:
 
I assume a metal bandsaw played a larger part in making complex shapes pre-CNC.
I recently bought an old Keller die filer at an auction with the idea of making square or hexagonal holes out of round ones (very slowly--it's not a fast tool). I assume when die filers were common they were used for finishing complex (especially interior) shapes. It would work well for smoothing the ends of the bone-shaped card holder after band sawing--faster than hand filing, anyway. Obviously, in industry they don't use any of these things for that kind of purpose any more and they are left for us to play with!
 
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About 20 years ago, I had to machine an Archimedes spiral for a product I was designing. The first attempt was to use a straight line interpolation with the condition that the resultant curve couldn't deviate from the actual curve by more than .001". This required around 5,000 individual moves.

The second approach was to fit circular arc segments to the curve with the same condition of more greater deviation than .001" This was accomplished with 24 arcs. The construction was done using AutoCAD and a G code program was created. (Nowadays, I would just draw out the desired profile and let the CAM math engine calculate the path).

While this was intended to run on a CNC mill, it is also possible to create the tool path for manual milling. To do so, I would mount my RT on the mill table and mount a secondary x-y table on the RT. The purpose of the secondary x-y table is to be able to position the center of each arc segment at the center of the RT. Using this method, it is possible to precisely create very complex curves but it is tedious and requires a lot of calculating to determine the centers of the arcs, the start and endpoints of the arcs, and the translation to a polar coordinate system so the RT can be used.
 
Like how a universal dividing head couples the rotation of its axis to the travel of the table X, an ellipse can be drawn fairly simply by coupling the ratio of the displacements in both x and y to the rotation of the work. The old "machinist's do-nothing" motion is similar. There wouldn't be any interpolation or stair-stepping needed to draw, plot, or machine an ellipse. Only needs fixturing that follows the geometry for this one. Spirograph, an old toy that explores parametric relationships, has a real pre-digital application here.
 
My and many DROs have a function for milling arcs by waypoint. You program the start and end point, desired radius, number of waypoints tool diameter, etc. It then computes the path. You navigate to each waypoint till X=0 and Y=0 then hit a key to enter the next waypoint, repeat... Compound curves can be achieved by stringing arcs together. I used the feature only once, it worked surprisingly well though I had to do some hand finishing.
 
How about sticking a pencil in a collet, or drill chuck, and practice drawing your shapes on a clipboard clamped in the vise? You could do this all day, or twenty minutes a day for as long as it took to master the skill. Doing it this way, you wouldn’t even have to be running the machine. Just running the handwheels. I imagine a couple weeks of dedicated practice would do wonders. You’d also have immediate, non destructive feedback every step of the way.
 
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