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<DIV dir=ltr><FONT face="Times New Roman" color=#000000 size=2>Agreed.  </FONT></DIV>
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<DIV dir=ltr><FONT size=2>My point was the gentleman <EM>originally</EM> was looking for appropriate "standard" parameters for the Mediterranean region.  The old WWII Grid has such parameters albeit for a conformal projection.  Adopting a spherical projection of choice, the old parameters give a "standard" treatment for the region.  Whether it's Albers Equal Area, Lambert Equal Area, or whatever, the primary question regarding choice of parameters was answered.</FONT></DIV>
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<DIV dir=ltr><FONT size=2>Since the purpose was to choose (presumably "standard" conic) parameters for a region, the choice of a False Origin is immaterial, including where one chooses a central meridian.  </FONT></DIV>
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<DIV dir=ltr><FONT size=2>If someone has an even <STRONG>older </STRONG>set of "standard" parameters for the Mediterranean region, have at it.  Betcha it's conic or close to it like a Bonne.  Anybody want Napoleon's parameters ???  I think I published it in one of my old columns on the Levant.</FONT></DIV>
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<DIV dir=ltr><FONT size=2>I believe the horse might finally be dead.</FONT></DIV>
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<DIV><FONT face="Times New Roman" color=#000000 size=2><SPAN style="FONT-SIZE: 10pt">Clifford J. Mugnier, C.P., C.M.S.<BR>Past National Director (2006-2008),<BR>Photogrammetric Applications Division<BR>American Society for Photogrammetry and Remote Sensing <BR>and <BR>Chief of Geodesy,</SPAN></FONT></DIV>
<DIV><FONT face="Times New Roman" color=#000000 size=2><SPAN style="FONT-SIZE: 10pt"><SPAN style="FONT-SIZE: 10pt; COLOR: black; FONT-FAMILY: 'Times New Roman','serif'; FONT-VARIANT: small-caps; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: 'Times New Roman'; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: EN-US">Center for GeoInformatics</SPAN></SPAN></FONT></DIV>
<DIV><FONT face="Times New Roman" color=#000000 size=2><SPAN style="FONT-SIZE: 10pt"><SPAN style="FONT-SIZE: 10pt; COLOR: black; FONT-FAMILY: 'Times New Roman','serif'; FONT-VARIANT: small-caps; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: 'Times New Roman'; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: EN-US"></SPAN>Department of Civil Engineering <BR>Patrick F. Taylor Hall 3223A<BR><STRONG>LOUISIANA STATE UNIVERSITY</STRONG> <BR>Baton Rouge, LA  70803<BR>Voice and Facsimile:  (225) 578-8536 [Academic] <BR>Voice and Facsimile:  (225) 578-8925 [Research] <BR>Honorary Life Member of the <BR>Louisiana Society of Professional Surveyors <BR>Member Emeritus of the ASPRS <BR>Member of the Americas Petroleum Survey Group<BR>======================================================<BR></SPAN><A href="https://email.lsu.edu/exchweb/bin/redir.asp?URL=https://email.lsu.edu/exchweb/bin/redir.asp?URL=https://email.lsu.edu/exchweb/bin/redir.asp?URL=https://email.lsu.edu/exchweb/bin/redir.asp?URL=https://email.lsu.edu/exchweb/bin/redir.asp?URL=https://email.lsu.edu/exchweb/bin/redir.asp?URL=https://email.lsu.edu/exchweb/bin/redir.asp?URL=https://email.lsu.edu/exchweb/bin/redir.asp?URL=https://email.lsu.edu/exchweb/bin/redir.asp?URL=https://email.lsu.edu/exchweb/bin/redir.asp?URL=https://email.lsu.edu/exchweb/bin/redir.asp?URL=https://email.lsu.edu/exchweb/bin/redir.asp?URL=https://email.lsu.edu/exchweb/bin/redir.asp?URL=https://email.lsu.edu/exchweb/bin/redir.asp?URL=https://email.lsu.edu/exchweb/bin/redir.asp?URL=https://email.lsu.edu/exchweb/bin/redir.asp?URL=https://email.lsu.edu/exchweb/bin/redir.asp?URL=https://email.lsu.edu/exchweb/bin/redir.asp?URL=https://email.lsu.edu/exchweb/bin/redir.asp?URL=https://email.lsu.edu/exchweb/bin/redir.asp?URL=https://email.lsu.edu/exchweb/bin/redir.asp?URL=https://email.lsu.edu/%20exchweb/bin/redir.asp?URL=https://email.l" target=_blank><SPAN style="FONT-SIZE: 10pt">http://www.asprs.org/resources/GRIDS/</SPAN></A><BR><SPAN style="FONT-SIZE: 10pt">======================================================</SPAN></FONT></DIV></DIV>
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<FONT face=Tahoma size=2><B>From:</B> proj-bounces@lists.maptools.org on behalf of strebe<BR><B>Sent:</B> Mon 15-Feb-10 14:04<BR><B>To:</B> PROJ.4 and general Projections Discussions<BR><B>Subject:</B> Re: [Proj] Standard projection for Mediterranean basin<BR></FONT><BR></DIV>
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<DIV>I do not understand Dr. Mugnier's response. Using the authalic latitude does not yield an equal-area projection if you project using a conformal projection. I cannot think of any use for mixing authalic latitude with conformal projection.</DIV>
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<DIV>The purpose of the authalic latitude is to provide an equal-area projection of the ellipsoid onto the sphere. From there you may project to the plane using any spherical equal-area projection, yielding an equal-area projection of the ellipsoid onto the plane. While this technique will not preserve other properties of the spherical projection (such as standard parallels or constant scale along some meridian or somesuch), at least it drastically increases the available projections for ellipsoidal use.</DIV>
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<DIV>I have, by the way, formulæ somewhere that I derived for computing the optimal standard parallels for Albers given the north/south extents of the map. I will post them if I happen to find them. The 1/6th rule would be fine for any real use, of course. The optimal is more of academic interest.</DIV>
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<DIV>Regards,</DIV>
<DIV>
<DIV>— daan Strebe</DIV>
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<DIV>On Feb 15, 2010, at 9:31:45 AM, "Jan Hartmann" <j.l.h.hartmann@uva.nl> wrote:<BR>
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<TD style="PADDING-LEFT: 5px; FONT-SIZE: 8pt; VERTICAL-ALIGN: top; COLOR: black; FONT-FAMILY: 'Lucida Grande'; TEXT-ALIGN: left"><SPAN style="FONT-WEIGHT: bold">Re: [Proj] Standard projection for Mediterranean basin</SPAN></TD></TR>
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<TD style="PADDING-LEFT: 5px; FONT-SIZE: 8pt; VERTICAL-ALIGN: top; COLOR: black; FONT-FAMILY: 'Lucida Grande'; TEXT-ALIGN: left"><SPAN title='"PROJ.4 and general Projections Discussions" <proj@lists.maptools.org>'>"PROJ.4 and general Projections Discussions" <proj@lists.maptools.org></SPAN></TD></TR></TBODY></TABLE></DIV>
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<DIV>Could you explain the relationship between Authalic Latitude and Equal Area projections? There is an article by John Snyder at<A class=moz-txt-link-freetext title=http://www.jstor.org/stable/2562645?seq=1 href="http://www.jstor.org/stable/2562645?seq=1">http://www.jstor.org/stable/2562645?seq=1</A>, but it's a bit above my mathematical head.<BR><BR>Jan<BR><BR>On 15-2-2010 18:01, Clifford J Mugnier wrote: 
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<DIV dir=ltr><FONT face="Times New Roman" color=#000000 size=2>So?</FONT></DIV>
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<DIV dir=ltr><FONT size=2>Keep the parameters and just use Authalic Latitude.</FONT></DIV>
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<DIV dir=ltr><FONT size=2>Easy.</FONT></DIV>
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<DIV><FONT face="Times New Roman" color=#000000 size=2><SPAN style="FONT-SIZE: 10pt">Clifford J. Mugnier, C.P., C.M.S.<BR>Past National Director (2006-2008),<BR>Photogrammetric Applications Division<BR>American Society for Photogrammetry and Remote Sensing<SPAN class=Apple-converted-space> </SPAN><BR>and<SPAN class=Apple-converted-space> </SPAN><BR>Chief of Geodesy,</SPAN></FONT></DIV>
<DIV><FONT face="Times New Roman" color=#000000 size=2><SPAN style="FONT-SIZE: 10pt"><SPAN style="FONT-SIZE: 10pt; COLOR: black; FONT-FAMILY: 'Times New Roman', serif; FONT-VARIANT: small-caps">Center for GeoInformatics</SPAN></SPAN></FONT></DIV>
<DIV><FONT face="Times New Roman" color=#000000 size=2><SPAN style="FONT-SIZE: 10pt"><SPAN style="FONT-SIZE: 10pt; COLOR: black; FONT-FAMILY: 'Times New Roman', serif; FONT-VARIANT: small-caps"></SPAN>Department of Civil Engineering<SPAN class=Apple-converted-space> </SPAN><BR>Patrick F. Taylor Hall 3223A<BR><STRONG>LOUISIANA STATE UNIVERSITY</STRONG><SPAN class=Apple-converted-space> </SPAN><BR>Baton Rouge, LA  70803<BR>Voice and Facsimile:  (225) 578-8536 [Academic]<SPAN class=Apple-converted-space> </SPAN><BR>Voice and Facsimile:  (225) 578-8925 [Research]<SPAN class=Apple-converted-space> </SPAN><BR>Honorary Life Member of the<SPAN class=Apple-converted-space> </SPAN><BR>Louisiana Society of Professional Surveyors<SPAN class=Apple-converted-space> </SPAN><BR>Member Emeritus of the ASPRS<SPAN class=Apple-converted-space> </SPAN><BR>Member of the Americas Petroleum Survey Group<BR>======================================================<BR></SPAN><A href="https://email.lsu.edu/exchweb/bin/redir.asp?URL=https://email.lsu.edu/exchweb/bin/redir.asp?URL=https://email.lsu.edu/exchweb/bin/redir.asp?URL=https://email.lsu.edu/exchweb/bin/redir.asp?URL=https://email.lsu.edu/exchweb/bin/redir.asp?URL=https://email.lsu.edu/exchweb/bin/redir.asp?URL=https://email.lsu.edu/exchweb/bin/redir.asp?URL=https://email.lsu.edu/exchweb/bin/redir.asp?URL=https://email.lsu.edu/exchweb/bin/redir.asp?URL=https://email.lsu.edu/exchweb/bin/redir.asp?URL=https://email.lsu.edu/exchweb/bin/redir.asp?URL=https://email.lsu.edu/exchweb/bin/redir.asp?URL=https://email.lsu.edu/exchweb/bin/redir.asp?URL=https://email.lsu.edu/exchweb/bin/redir.asp?URL=https://email.lsu.edu/exchweb/bin/redir.asp?URL=https://email.lsu.edu/exchweb/bin/redir.asp?URL=https://email.lsu.edu/exchweb/bin/redir.asp?URL=https://email.lsu.edu/exchweb/bin/redir.asp?URL=https://email.lsu.edu/exchweb/bin/redir.asp?URL=https://email.lsu.edu/exchweb/bin/redir.asp?URL=https://email.lsu.edu/ exchweb/bin/redir.asp?URL=https://email.l" target=_blank><SPAN style="FONT-SIZE: 10pt">http://www.asprs.org/resources/GRIDS/</SPAN></A><BR><SPAN style="FONT-SIZE: 10pt">======================================================</SPAN></FONT></DIV></DIV>
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<FONT face=Tahoma size=2><B>From:</B><SPAN class=Apple-converted-space> </SPAN><A class=moz-txt-link-abbreviated href="mailto:proj-bounces@lists.maptools.org">proj-bounces@lists.maptools.org</A><SPAN class=Apple-converted-space> </SPAN>on behalf of Gerald I. Evenden<BR><B>Sent:</B><SPAN class=Apple-converted-space> </SPAN>Mon 15-Feb-10 08:30<BR><B>To:</B><SPAN class=Apple-converted-space> </SPAN>PROJ.4 and general Projections Discussions<BR><B>Subject:</B><SPAN class=Apple-converted-space> </SPAN>Re: [Proj] Standard projection for Mediterranean basin<BR></FONT><BR></DIV>
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<P><FONT size=2>On Sunday 14 February 2010 11:46:30 pm Clifford J Mugnier wrote:<BR>> From 1925 to 1946, there was a "British Grid" used by the Allied Forces in<BR>> the Mediterranean.  The British Army (GSGS) established the "Mediterranean<BR>> Zone" for the secant Lambert Conical Orthomorphic Projection where the<BR>> central meridian was 29° East of Greenwich, and the latitude of origin was<BR>> 39° 30' N, the scale factor at origin was 0.99906, the False Easting was<BR>> 900 km, and the False Northing was 600 km.<BR>><BR>> See my column in PE&RS for December of 2002 on Greece.<BR>><BR>> Clifford J. Mugnier, C.P., C.M.S.<BR>        ...<BR><BR>I had the inference that the request was for an equal-area projection---a mode<BR>that I consider preferable for thematic purposes.<BR><BR>--<BR>The whole religious complexion of the modern world is due<BR>to the absence from Jerusalem of a lunatic asylum.<BR>-- Havelock Ellis (1859-1939) British psychologist<BR>_______________________________________________<BR>Proj mailing list<BR><A class=moz-txt-link-abbreviated href="mailto:Proj@lists.maptools.org">Proj@lists.maptools.org</A><BR><A href="http://lists.maptools.org/mailman/listinfo/proj">http://lists.maptools.org/mailman/listinfo/proj</A></FONT></P></DIV><PRE><FIELDSET class=mimeAttachmentHeader></FIELDSET>
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