>Subject:     Re: gnomon shape and EoT
>Sent:        17/9/98 7:09 am
>Received:    17/9/98 9:06 am
>From:        John Pickard, [EMAIL PROTECTED]
>To:          David Higgon, [EMAIL PROTECTED]
>             all, [email protected]
>
Dear John, David and Alberto,

There's a very well illustrated and explained section in Frank Cousins' 
book "Sundials" on correction for the equation of time showing the Oliver 
dial (similar to Silas Higgon's) the Negretti & Zambra version with a 
pierced analemma aperture and the very sophistocated Sunquest Local 
Meantime Dial by Schmoyer.

> And in any event, the gears on a rack
>include BOTH the teeth AND the spaces. Anyone got any suggestions on how to
>make such a rack?
>
>In case you can't visualise it, imagine a U-shape with a semi-circle forming
>the base of the U, and two parallel arms coming out. What you need is a
>properly formed set of teeth on the inside. I guess you use a shaper, but I
>only have access to a mill.

A similar process to cutting an internal gear if I visualise the problem 
correctly. As you suggest a basic milling machine is useless in this 
situation although the Bridgeport has an attachment to deal with it.  A 
shaper is the obvious choice for a 'one-off' using three stages. A 
parallel 'gashing' cut to remove most of the tooth space followed by 
independent profile cuts.

The interesting bit would be where the teeth on the semi-circular section 
transformed into the straight arms as there would be two distinct 
tooth-space profiles - an internal involute on the curve becoming a 
straight-sided rack tooth on the arms which would require some careful 
pre-planning.

Some years ago I made a model of Matthew Murray's Hypocycloidal Engine 
with the internal gear ring shaped as above.  Not a job to be undertaken 
lightly but worth it just to see the amazement on the faces of anyone 
watching it directly convert straight line motion into rotary motion.

Tony Moss.

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