The floor plans of Ledoux's barrières of Paris, designed during the 1780s, are described using simple geometric constructions. Based on a study of these geometric constructions and the ratios of their parts, it is suggested here that the architect did not treat geometry or numeric ratio as an ideal model of architecture. Rather, he treated the relationship between geometry and numeric ratio as an open problem foreshadowing the attitude of the modern architect.
This is the author's accepted manuscript. The original publication is available from http://www.tandfonline.com.
Rashid, Mahbub. (2007). "The relationship between geometry and numeric ratio as an open problem in Ledoux's architecture: a study of the floor plans of the barrières of Paris." The Journal of Architecture, 12(3):281-314. http://www.dx.doi.org/10.1080/13602360701470042.