[1.1] What is meant here is the equation that determines the relation between the abscissa x and the ordinate yof an arbitrary point on the curve (the locus). Incidentally, this introduction reminds us of the opening sentence of the Géométrieof Descartes: Tous les Problesmes de Geometrie se peuvent facilement reduire a tels termes, qu’il n’est besoin par aprés que de connoistre la longeur de quelques lignes droites, pour les construire. [All geometry problems can easily be reduced to such terms that to construct them only the lengths of certain line segments are needed.]

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Grootendorst, A.W, Aarts, J, Bakker, M, & Erné, R. (2010). Annotations to the translation. In Jan de Witt’s Elementa Curvarum Linearum (pp. 257–292). doi:10.1007/978-0-85729-142-4_4