espanolEste documento muestra un analisis del segundo libro Elementa Curvarum Linearum escrito por Jan de Witt, publicado por primera vez en la segunda edicion de la Geometria [1]. Este escrito es considerado el primer libro de texto de geometria analitica. Se estudia la influencia del trabajo realizado por Apolonio en su libro conicas, se debate el uso e interpretacion de los diagramas. Tambien se estudia el desarrollo del metodo analitico y la generacion de curvas por medio de movimiento. Algunas proposiciones fueron versiones renovadas en terminos de las matematicas del siglo XVll, usaron simbologia, tecnicas algebraicas y se clasificaron curvas por medio de sus representaciones simbolicas, en estas proposiciones se ve un trabajo mas cercano a Apolonio, la conica no se genera, se supone su existencia, su naturaleza es geometrica. El estudio concluye que, aunque el libro de texto se publico en la segunda edicion de la Geometria la genesis de las curvas sigue siendo geometrica. Las conicas aparecen como objetos de estudio en acto inmersas en la practica simbolica y algebraica caracteristica de la epoca. EnglishThis document shows an analysis of the second book Elementa Curvarum Linearum written by Jan De Witt, published for the first time in the second edition of Geometry [1]. This writing is considered the first analytical geometry textbook. The influence of the work carried out by Apollonius in his conics book is studied, the use and interpretation of diagrams is debated. The development of the analytical method and the generation of curves by means of movement are also studied. Some propositions were renewed versions in terms of eighteenth-century mathematics, they used symbology, algebraic techniques and curves were classified by means of their symbolic representations, in these propositions a work closer to Apollonius is seen, the conic is not generated, it is assumed its existence, its nature is geometric. The study concludes that, although the textbook was published in the second edition of Geometry, the genesis of the curves remains geometric. The conics appear as objects of study in action immersed in the symbolic and algebraic practice characteristic of the time.