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Concessis figurarum curvilinearum quadraturis, invenire tempora qui∣bus corpora vi qualibet centripeta in lineis quibuscun{que} curvis in pla∣no per centrum virium transeunte descriptis, descendent & ascendent.
Descendat enim corpus de loco quovis S per lineam quamvis curvam STtR in plano per virium centrum C transeunte datam. Jungatur CS & dividatur cadem in partes innumeras aequales,
sit{que} Dd partium illarum aliqua. Centro C, intervallis CD, Cd describantur circuli DT, dt, Lineae curvae STtR occurrentes in T & t. Et ex data tum lege vis centripetae, tum altitudine CS de∣qua corpus cecidit; dabitur velocitas corporis in alia quavis alti∣tudine CT, per Prop. XXXIX. Tempus autem, quo corpus de∣scribit lineolam Tt, est ut lineolae hu∣jus