Hello, Pebblepond! Welcome to Wikipedia! Thank you for your contributions. You may benefit from following some of the links below, which will help you get the most out of Wikipedia. If you have any questions you can ask me on my talk page, or place {{helpme}} on your talk page and ask your question there. Please remember to sign your name on talk pages by clicking or by typing four tildes "~~~~"; this will automatically produce your name and the date. If you are already excited about Wikipedia, you might want to consider being "adopted" by a more experienced editor or joining a WikiProject to collaborate with others in creating and improving articles of your interest. Click here for a directory of all the WikiProjects. Finally, please do your best to always fill in the edit summary field when making edits to pages. Happy editing! Devokewater(talk)08:01, 27 November 2020 (UTC)[reply]
Hi @Pebblepond, and welcome to Wikipedia. I reverted your change to Gnomonic projection in special:diff/1211655063. The gnomonic projection, a perspective projection through the center of the sphere, maps every great circle on the sphere to a straight line in the plane, and every straight line on the plane is mapped to from some great circle on the plane. That is, it produces a 1:1 correspondence between great circles on the sphere and lines in the plane (with the exception of the "equator", a great circle parallel to the projection plane, which maps to a "line at infinity"). You might have been thinking of the stereographic projection, for which great circles passing through the point where the projection is centered are mapped to straight lines through the origin in the plane, while other great circles map to circles in the plane (and other lines in the plane come from circles passing through the projection point). Cheers, –jacobolus(t)19:46, 3 March 2024 (UTC)[reply]
