Yet, it is a globe projection.
It's just another world map variation. This one offers to quickly and easily show where the sun is overhead at midday, exactly where on the other side of the planet, it is experiencing midnight. I like it! It is correct in globe form, Gleason just straightened out those curved meridian lines.
I have family in different countries overseas, (on the other side of the globe from me) so now with my pocket gleason's map, I can be well assured when I phone them, I'm not waking them up at 3am!
Great as a timepiece but utterly useless as a travelling map. The gleason's map would have you believe cape york peninsula in the Northern tip of Australia, is only about 400km from Melbourne, when in reality, it is close to 4,000km. Slightly incorrect by only 3,600km, wouldn't you agree, plat tera?