I would imagine the recommendations for reading from an ebook reader would be similar to those for reading from a paper book.
Also I'm assuming that when you say "screen" that you are referring to a computer screen, which would explain the side-to-side thing. Text on computer screens is usually presented in long lines (called 'measures'). Newspapers and books use short measures specifically because it leads to less side-to-side eye movement. This makes it easier to find your place on the next line, which thus makes it easier to read.
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