Re: [josm-dev] Geometric calculations and projections

2009-12-17 Thread Matthias Julius
Paul Johnson ba...@ursamundi.org writes: Tobias Wendorff wrote: Matthew W. S. Bell schrieb: I think the key point here that the projection used for geometry editing should be a conformal[1] one (i.e., angle preserving) like those in [2]. Possibly, the projection should have an even greater

Re: [josm-dev] Geometric calculations and projections

2009-12-17 Thread Anthony
Spherical geometry allows you to calculate _directly_ on the sphere without using a projection ... you simple use LatLon in radian degrees. True, but it's not really trivial. A rectangle with 89.55°, 90.1°, 89.89°, 90,01° is no rectangle. What's the definition of rectangle in

Re: [josm-dev] Geometric calculations and projections

2009-12-17 Thread Anthony
On Thu, Dec 17, 2009 at 5:40 PM, Anthony o...@inbox.org wrote: Spherical geometry allows you to calculate _directly_ on the sphere without using a projection ... you simple use LatLon in radian degrees. True, but it's not really trivial. A rectangle with 89.55°, 90.1°, 89.89°,

Re: [josm-dev] Geometric calculations and projections

2009-12-17 Thread Tobias Wendorff
Am Do, 17.12.2009, 23:40 schrieb Anthony: What's the definition of rectangle in non-euclidean geometry anyway? I can't answer this right now ;-) But since we've got projections which *are* actually good to show rectangles with correct shapes and angles, it could be possible to find a suiteable

Re: [josm-dev] Geometric calculations and projections

2009-12-17 Thread Anthony
On Thu, Dec 17, 2009 at 7:32 PM, Matthias Julius li...@julius-net.netwrote: My point was that Wyoming *is* a rectangle in a Mercator projection. Well, it would have been if they had surveyed it correctly: http://www.openstreetmap.org/?lat=44.996lon=-110.625zoom=11layers=B000FTF

Re: [josm-dev] Geometric calculations and projections

2009-12-17 Thread Matthias Julius
Anthony o...@inbox.org writes: On Thu, Dec 17, 2009 at 7:32 PM, Matthias Julius li...@julius-net.netwrote: My point was that Wyoming *is* a rectangle in a Mercator projection. Well, it would have been if they had surveyed it correctly: