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Posita cujuscun{que} generis vi centripeta, dato{que} tum virium centro tum plano quocun{que} in quo corpus revolvitur, & concessis Figurarum curvilinearum quadraturis: requiritur motus corporis de loco dato data cum velocitate secundum Rectam in Plano illo datam egressi.
Sit S centrum virium, SC distantia minima centri hujus a pla∣no dato, P corpus de loco P secundum rectam PZ egrediens, Q corpus idem in Trajec∣toria
datum, adeo{que} facit illud in hoc plano perinde moveri ac si vis ST tolleretur, & corpus vi sola TV revolveretur circa centrum C in spatio libero. Data autem vi centripeta TV qua corpus Q in spatio libero circa centrum datum C revolvitur, datur per Prop. XLII. tum Trajectoria PQR quam corpus describit, tum locus Q in quo corpus ad datum quodvis tempus versabitur, tum de∣ni{que} velocitas corporis in loco illo Q; & contra. Q.E.I.