My default font is (usually) Times New Roman, which uses a sloping line all the way through the "c". Some others use a complete vertical line (e.g. Tahoma), and some fonts use the broken line like you describe. For some (mostly old) faces, the line only extends above or below the outline of the c. It just depends on what mood the typographer was in when the typeface was named.

Unless there's a style sheet or coding that specifically calls for a particular typeface (font), in html you'll see most stuff in whatever default face you've told the browser to use.

For WinXP and Office programs of comparable era, it's possible to set up to have the fonts available in Office programs display "in font" so you can see at least the name of the one you select typed in the selection box roughly as it should appear in print.

You can also use the CharMap (see up above) to view how the characters will look in a different face.

John