On Tue, 2009-05-12 at 22:22 -0400, Kent A. Reed wrote:
> Gentle persons:
> 
> Kirk and others may find the following references to be useful:
> 
> 1) "The Involute Curve, Drafting a Gear in CAD and Applications," by 
> Nick Carter. http://www.cartertools.com/involute.html
> 
> 2)  "Direct Gear Design for Spur and Helical Involute Gears," by 
> Alexander L. Kapelevich and Roderick E. Kleiss. 
> http://www.akgears.com/pdf/direct.pdf

Thanks Kent. These are good links.

> Regarding calculating tables of values of Kirk's representation of an 
> involute of a circle, or any other parametric equations, don't forget 
> that OpenOffice Calc is a fully functional spreadsheet application that 
> has all the necessary mathematical machinery including trig functions 
> like sine, cosine, and arctangent. OpenOffice is available for and runs 
> in Linux, Winders, etc. Like Microsoft Excel, it can generate various 
> forms of plots, although I personally don't like either for generating 
> publication-ready graphs. It should be easy to code up Calc and/or Excel 
> programs to automate the calculations discussed in the above papers.

It didn't occur to me to use OpenOffice. Sometimes I can't see the
forest for the trees.

> As for displaying mathematical functions easily, one can take advantage 
> of the OpenOffice Math interface, but since I'm an old-fart (it's 
> official, even the Social Security Administration says so), I use LaTeX, 
> which has been around since the days when all we had were mainframe 
> computers (and had to walk barefoot through the snow to hand over our 
> punched card decks to the operator at the counter). Now that MathML is 
> fairly mature, there is a lot of interest in MathML-based tools. See, 
> for example, the following MIT pages on displaying mathematics:
> 
> http://web.mit.edu/acs/faq/webmath/contents.html and 
> http://web.mit.edu/ist/topics/webpublishing/mathml/

I'll have to check these links out when I get time. Also, it's
"interesting" what you get when one searches "latex" on Google.

> Finally, regarding the Machinery's Handbook, just find the cheapest 
> price for any recent edition. I bought my 26th Edition (2002) copy on 
> eBay in 2005 for about $35. With the exception of a torn fly leaf, it 
> was in pristine condition. Sometimes eBay is cheapest, sometimes 
> abebooks.com, sometimes amazon.com. Like everything else, you have to be 
> patient.
> 
> Regards,
> Kent

It took me a while to realize that the British metric section in my
nineteenth edition is still applicable, or close enough. I agree there
are great deals to be had on eBay, but it seems to be getting harder, or
maybe, more fun.
-- 
Kirk Wallace
http://www.wallacecompany.com/machine_shop/
http://www.wallacecompany.com/E45/index.html
California, USA


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