RE: [ATM] parabolic versus spherical volume of glass

["Donald Good" <donald.good@comcast.net>]

FYI, for the example given in the spreadsheet (D=16.5, F/5), the
values of fl diff for the parabolas described by Vlad are:
parabola   fl diff   vol diff  min sag  Vlad's sag values for (D=16.5, F/5)
  #1         0       .00787       0%R   D/1024F^3=.000129
  #2        -.0515   .00198      70%R   D/4000F^3=.000033
  #3        -.074    .00351      85%R   D/13,000F^3=.000010
  #4        -.104    .00943     100%R   D/1000F^3=.000132

Using the spreadsheet, #1, #2, and #3 agree with Vlad's numbers
fairly well.  For #4, the point at which deepening the center is
D/1000F^3=.000132 is at fl diff=-.104, but the glass removed is
20% more than #1.  The point at which glass removed is 20% less
than #1 is at fl diff=-.091 where the deepening of the center is
.000099
Vlad?

Note that the plot is for 20 intervals, so the resolution of zones is 5%R.
The spreadsheet is at:
http://www.atmlist.net/contrib/donald-dot-good-at-comcast-dot-net/index.htm

Don

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