In this talk, we aim at showing after Kirsti Andersen that Lambert's approach to perspective constructions (first edition of his treatise 1759) is based on an angle scale. This method can be considered as a break with the dominant use of plans and elevations which characterizes the teaching of perspective in several Academies of Arts at that time. In particular, we will compare Lambert's Freie Perspektive with Jeaurat's Traité de perspective à l'usage des artistes (1750) which belongs to a long tradition of teaching perspective at the Académie Royale de Peinture et de Sculpture. Jeaurat is deeply influenced by Sébastien le Clerc I (1637-1714) and le Clerc II (1673-1763) who teach geometry and perspective during more than a half-century at the Académie de peinture.
We also would like to assess the impact of Lambert's fifteen geometrical problems (second edition of his treatise, 1774) in the development of ruler geometry during the first third of the 19th century. More precisely, it seems that Chasles and Poncelet believe in a kind of continuity between Lambert's and Servois' contributions on ruler geometry. In fact, this historical interpretation is based on a retrospective projection. More precisely, there isn't any explicit link between Lambert's Freie Perspektive and Servois' book entitled Solutions peu connues de différents problèmes de géométrie (1805).