Tim:
Are the lines the same widths? Point sizing generally refers to characters per inch across the page.
Richard England:
I don't believe that is true unless it has changed since my days in actual printing. The character size in points refers to the size from the highest to the lowest extent of the letters of a given type face size.
While the "size" of a font is, indeed, the entire size of the font, points used in typing, generally, were just used as a measure of how many would fit across a given width (10pt being the common one, 12pt being the more compact, usually).
You also have to consider the display medium. DPI and aspect ratio of the display device can wreak havoc on any document transfered across systems.
Another consideration that word processor document files are just storage of something on a particular PC (for later printing, etc.). They really are not a portable document format. A different PC might have different fonts, and will probably have a different printer (with different minimum margins).