Typesetting EPS files
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Due to the lack of a PostScript interpreter on iOS, Texpad iOS is currently unable to typeset eps figures with it’s local typesetter. Texpad iOS is capable of typesetting eps figures in the cloud, and Desktop Texpad is capable of typesetting all figures, including EPS.

If you want to typeset vector graphics locally on your iOS device, then please export as a PDF rather than as an EPS. PDFs can be included the same as any other graphics file, using the graphicx package, and \includegraphics{}.