The Solar Eclipse eclipse paths on a Flat Earth make more sense to me than the Solar Eclipse paths on the Round Earth. Consider the map paths on a Round Earth. On the eclipse path maps the Moon's shadow is making quite sharp North-South movements over the course of a few hours. However, the Moon does not orbit the earth in a sharp South-West to North-East angle.
In RE Moon's orbit deviates by only 5 degrees from the plane of the ecliptic, the Sun-Earth plane. It is also only moving slightly slower in the Sun in the sky, setting 50 minutes later each day
https://web.archive.org/web/20190211123505/http://ircamera.as.arizona.edu/Astr2016/lectures/skyappearance.htmConsider how the above, with a Moon that moves slowly across the sky in comparison to the Sun, can make all of these wild shapes:
http://eclipse-maps.com/Eclipse-Maps/Welcome.htmlCuriously, on a Northern Azimuthal FE map, the paths of the Solar Eclipse make symmetrical arcs:
From A Text-Book of Astronomy by George C. Comstock
https://www.gutenberg.org/files/34834/34834-h/34834-h.htmFig. 36.—Central eclipses for the first two decades of the twentieth century. Oppolzer.
Future eclipses.—An eclipse map of a different kind is shown in Fig. 36, which represents the shadow paths of [pg. 114] all the central eclipses of the sun, visible during the period 1900-1918 A. D., in those parts of the earth north of the south temperate zone. Each continuous black line shows the path of the shadow in a total eclipse, from its beginning, at sunrise, at the western end of the line to its end, sunset, at the eastern end, the little circle near the middle of the line showing the place at which the eclipse was total at noon. The broken lines represent similar data for the annular eclipses. This map is one of a series prepared by the Austrian astronomer, Oppolzer, showing the path of every such eclipse from the year 1200 B. C. [pg. 115] to 2160 A. D., a period of more than three thousand years.
Also see this image: