 While some of the results from this period are connected with the problem-solving program presented in the 1637 La Géométrie, Rabouin (2010) points out that it is still not clear whether Descartes discovered his methods for solution using the techniques that are applied in 1637 (Rabouin 2010, 456). As such, Rabouin urges us to resist the somewhat standard reading of Descartes’ early mathematical works according to which there is a linear and teleological progression from the 1619 pronouncement of an “entirely new science” to the groundbreaking program of La Géométrie (a reading found, for instance, in Sasaki 2003, especially 156–176). According to Rabouin, it is not until the early 1630s, when Descartes engages with the Pappus problem—what Bos also considers “the crucial catalyst” of Descartes’ mature mathematical researches (Bos 2001, 283)—that he returns to his 1619 project to craft a new science of geometry that is grounded on a new classification of curves and problems. Following Rabouin, it is at this point of his mathematical career that Descartes more clearly sees just how crucial the interplay of algebraic equations and geometry could be for a general program of geometrical problem-solving.