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Vim qua Luna retinetur in Orbe suo respicere terram, & esse reciprocò ut quadratum distantiae locorum ab ipsius centro.
Patet assertionis pars prior, per Hypoth. IX. & Prop. II. vol III. Lib. I. & pars posterior per motum tardissimum Lunaris Apogaei. Nam motus ille, qui singulis revolutionibus est graduum tantum trium in consequentia, contemni potest. Patet enim, per Corol 1. Prop. XLV. Lib. I. quod si distantia Lunae à centro Terrae dica∣tur
D, vis à qua motus talis oriatur, sit reciproce ut D 2 4/243, id est re∣ciprocè ut ea ipsius D dignitas, cujus index est 2 4/243, hoc est in ratione distantiae paulo majore quam duplicata inverse, sed quae vicibus 60¾ propius ad duplicatam quam ad triplicatam accedit. Tantil∣lus autem accessus meritò contemnendus est. Oritur verò ab acti∣one Solis (uti posthac dicetur) & propterea hic negligendus est. Restat igitur ut vis illa, quae ad Terram spectat, sit reciprocè ut D2; id quod etiam plenius constabit, conferendo hanc vim cum vi gravitatis, ut fit in Propositione sequente.