Riders of the 1870s and 1880s knew only too well the inherent dangers and challenges of the light, simple & efficient penny farthing. By the early 1880s there was a significant movement to invent a safer design, like the dwarf ordinary, the Kangaroo, the Eagle, the Star, the Facile, Crypto-Dynamic's geared ordinary, and the bike that got it right and was largely ignored, Lawson's Bicyclette.
In the transition period, roughly 1885~1893, the terminology was the ordinary (penny farthings), the safety (diamond frame bikes with equal-sized wheels, a chain driving the rear) and the ordinary safety (encompassing the designs in the first paragraph).