Jean-Louis’ renown was to spring from his "Nouveau traité de toute l’architecture, utile aux entrepreneurs, aux ouvriers, et à ceux qui font bâtir", a small book published in Paris in 1706. He was evidently influenced by Claude Perrault’s determination to reduce the complexity of architectural composition and the proportioning of the orders, as evidenced in his translation and commentary on Vitruvius’ ten books on architecture, published in 1673 and, in a revised edition, in 1684, as also by his "Ordonnance des cinq espèces de colonnes selon la methode des anciens", of 1683. But Cordemoy was spurred also by the ideas of Michel de Frémin, author of another small book, "Mémoires critiques d’architecture. Contenans l’idée de la vraye et la fausse architecture…", published in Paris in 1702. Frémin aimed to reject the authority of the orders entire. He demanded a practical, commonsense approach to architecture. The buildings he upheld as well designed, structurally and acoustically, were the Gothic churches of Notre-Dame and the Sainte Chapelle in Paris.