What is the technical term for this style of speaker?
In my experience they are typically 3-5 feet tall, and 12 to 24 inches wide. Usually has 1 woofer, 1 midrange, and 1 tweeter.
The common names for such kind of models are 3-Way Classic, 3W Classic or simply "3-Ways".
Troels Gravesen, a danish DIY speaker pioneer, has a page all dedicated to that design: http://www.troelsgravesen.dk/3WClassic.htm.
On his website you can find other variants of the design (and other interesting designs): http://www.troelsgravesen.dk/Diy_Loudspeaker_Projects.htm