This is a MapHist list message (when you hit 'reply' you're replying to the 
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for it might be of general interest I give to the list the private response to 
a message by Robles Macias.

Dear Dr. Robles Macias,
I have seen the article by Snyder it (J.P. Snyder, Navigation, vol. 2, nº1, 
March 1949, pp.2 – 5): TERRIBLE! It is uneasy to understand even to me, teacher 
of Projective Geometry! Horrifying!!!! We have to take in mind that Snyder was 
a geodesist and a mathematician not a geometer.

I use a very simple method which allows in one hour or less to draw any kind of 
gnomonic meridian projection. If you use autocad or a graphic software the grid 
is perfect and you may freely use it for any purpose.
I use a double Mongian (orthogonal) projection fo the sphere covered with 
meridian and parallels at the distance I like (5°, 10°, 15 . . .) and than 
project the sphere and the grid into a chosen oblique plane. From the double 
intersection I have the exact position of any point of the grid. Meridians and 
Equator are obviously straight lines while the parallels are ellipses, one 
parabola, and hyperbolae.
As the method of taking projections (not geographical ones but perspective 
projections) was known also to Piero della Francesca, it is easily believable 
that in the XVII century scientist might know it and use it. Ancient people was 
not so stupid to waste their time in complicated and absurd construction as we 
do today.

Come to Venice.
ciao
vladimiro



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> <Snyder_1949_GraphicalConstructionGnomonic.pdf>

_______________________________________________
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hosted by the Faculty of Geosciences, University of Utrecht.
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the author and do not necessarily reflect those of the University of
Utrecht. The University of Utrecht does not take any responsibility for
the views of the author.
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