[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 105
Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.89.
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The machine reads it as
- PRINCIDTA MATHEMALICA
- DF C, TIO
- NII
- De Corporum ascensu Descensu Rectilineo.
- PROPOSITTO ZZXIL PROBLEMA XXIV
- Posito quod Vis centripeta sit reciproce proportionalis quadrato di
- stantiae locorum a centro, Spatia definire quae corpus recta cadendo
- datis temporibus describit.
- Cas. T. Si Corpus non cadit perpendieu.
- lariter describet id, per Corol. L. PFOD. ZILI.
- Sectionem aliquam Conicam cujus umbili-
- cus congruit cum centro virium. Siet Sec.
- tio illa Conica AR P B e umbilicus ejus S
- Et primo si Figura FIlipsS eAt, super hu-
- jus axc majore AB describatur Semicirculus
- AD B, ec per corpus decidens transcat rec.
- ta D F C perpendicularis ad axem; actisque
- DS, FS CriE arca ASD arCA ASP aE
- que adeo etiam tempori provortionalis. Ma
- nente azc AB minuatur perpetuo latitudo
- Ellipscos, ee semper manebit arca AS D
- tempori proportionalis. Minuatur lacitude
- illa in infinicum: ec, Orbe AP B jam coin-
- cidente cum aXC AB ex umbilico S cum
- axis termino B, delcendet corpus in recta
- AC. _ area AB D eradet tempOrI prO-
- portionalis. Dabitur itaque Spatium
- quod corpus de loco perpendiculariter
- cadendo tempore dato describit, si modo tempori provorriona-
- lis capiatur area AB D, e a puncto D ad rectam AB demit.
- catur perpendicularis DC. 8. F.. I.
- .....
- ommmum
- as.
- L IBKR
- P RI AIV 50
Cite
[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 105. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0139?run=74