Philosophiae naturalis principia mathematica . , Caf. I. Si corpus non cadit perpendicula-riter defcribet id, per Corol. i. Prop. xiii,Sedionem aliquam Conicam cujus umbili-cus congruit cum centro virium. Sit Sec-tio illa Conica AR TB & umbilicus ejus J»Et primo fi Figura Ellipfis eft , fuper hu-jus axe majore A B defcribatur Semicircu-ImATiB^ & per corpus decidens tranfeatrefta DTC perpendicularis ad axem ; ac-tifqueZ^J, yj^erit area ^i^Z) areae ^J^Patque adeo etiam tempori axe AB minuatur perpetuo la-titudo Ellipfeos; & femper manebit areaA S1) tempori proportionalis.

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Philosophiae naturalis principia mathematica . , Caf. I. Si corpus non cadit perpendicula-riter defcribet id, per Corol. i. Prop. xiii,Sedionem aliquam Conicam cujus umbili-cus congruit cum centro virium. Sit Sec-tio illa Conica AR TB & umbilicus ejus J»Et primo fi Figura Ellipfis eft , fuper hu-jus axe majore A B defcribatur Semicircu-ImATiB^ & per corpus decidens tranfeatrefta DTC perpendicularis ad axem ; ac-tifqueZ^J, yj^erit area ^i^Z) areae ^J^Patque adeo etiam tempori axe AB minuatur perpetuo la-titudo Ellipfeos; & femper manebit areaA S1) tempori proportionalis. Minuaturlatitudo illa in infinitum, &, Orbe AT Bjam coincidente cum axe A B &c umbili-co S cum axis termino,^, defcendet cor-pus in refta A C, &i area A BT> evadettempori proportionalis. Dabitur itaque Spatium AC , quod corpus de loco ^ perpendiculariter caden-do tempore dato defcribit, fi modo tempori proportionalis capiaturarea ABT), & a punfto T> ad redam AB demittatur perpendicu-larisSC. ^ E. l. O De Moth CoiVtOKUM

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