Interesting link you provided jrb53, the Heller model would seem to be built according to the following passage:
With this description, the method of tacking a lateen sail can be derived. In some cases, when the ship was close-hauled or on a zig-zag course, the lateen sail would not be tacked but rather left for the wind to fill in either direction. In anticipation for this, some ships left two sails on one side of the mast and the remaining sail on the opposite side. The sail would be adjusted by the braces and tackles depending on point of sail and wind force.
The Heller model has the fore- and mizzen yards on the port side of the masts and the main yard on the starboard side. The yards themselves can swing over quite a large arc so maybe this was also used for tacking. Swinging the yard from one side of the mast to the other would seem to me to have been a major operation (especially at sea).
cheers, Julian