If those are indeed tubular tires (i.e., the tubes are sewn inside the tires, and the tires are glued to the rims), they're 700c.

Edit: "I guess I’ll wait until I’m home and simply measure."

Not as simple as one might expect. Wheels and tires rarely measure 700 mm or 27" for the (nominal) tire diameter.

The most useful number for determining sizes of rims and tires is the tire bead diameter, a.k.a., bead seat diameter, which is 622 mm for 700c and 650 for 27".

Easiest check: if the tires are glued on, they're 700c tubulars. If not, look for a label on the tire. It'll read either 700c x some number (the width in millimeters) or 27" x some number (the width in inches).