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My question is simple: can I use the EuclidMathOne font in LaTeX documents (in mathmode)? There is a document prepared by my professor, and I want to use the same font. As far as I know, he used MathType, and that font is available there, however I could not yet find it in LaTeX.

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If the font is OpenType and it's available in your system, then you can use XeLaTeX. – Gonzalo Medina Apr 18 '12 at 19:13
...or LuaLaTeX. – Jörg Apr 19 '12 at 13:26
Nope, its a symbol font and not Unicode encoded. You need a little bit more than just plugging it into XeLaTeX. You need to define\use spesific glyphs to get to the symbols. – Danie Els May 6 '12 at 5:09

The best solution is to use XeLaTeX or LuaLaTeX, as suggested by the comments.

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The Euclid font family from Design Science (distributed with Math Type equation editor for Word) is a version of Computer Modern, the "standard" font in TeX.

You probably want EuclidMathOne for the calligraphic fonts. That you can obtain with $\mathcal{ABC}$ in a Latex document with the default fonts.

Please note that Xe or LuaTeX is not a good option here, EuclidMathOne is a symbol font and to use it for anything more than a single symbol you need a proper support package to do anthing useful. See the post How to access Webdings OpenType font in XeLaTeX

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