[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 302
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: 0.90.
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The machine reads it as
- 302
- PHITLOSOPMILA HATORALIS
- DEMOrD Corol. 6. EF motus Clobi cum ejus resistentia sic exponi porest.
- Sic AB tempus quo Cilobus per relistenciam suam unitormiter con
- cinuatam eocum suum motum amiE-
- cere porect. Ad AB crisanEuF Per-
- pendicula 2D, BC. Sicque BC
- inotus ille tOtuS, ec per punctum C
- ACymPtotis D, AB describatur
- Fyperbola CF. Producatur AB ad
- punctum quodris C. Prisatur per
- Pendiculum P F Elyperbolie Occur-
- rens in F. Compleatur parallelo
- orammum CBF. (, ec a8atur AF
- ipI BC Occurrens in II. EE Si Cilobus tempore quoris BF, motu
- luo primo BC uniformiter continuato, in Medio non retiltente de
- Scribat spacium C B P. G per aream parallelogrammi expositum, idem
- in Medio refistente describet spatium CBF F per aream PJyper-
- bolae expolicum, e motus ejus in fine temporis illius exponetur
- per Ayperbolae ordinacam LF, amilla motus ejus parre FG. EE
- resictentia ejus in fine temporis ejuldem exponetur per longitudi-
- nem BFI, amissa resistentix parte C. II. Pacent haec omnia per
- Corol. 1. PrOP. V. LIb. II.
- Corol. 7. Flinc A GlObuS tempore T per resictentiam R unifor-
- nicer continuatam amittat motum suum tocum M: idem Globustem
- Poret in Mediorelistente, per relltentiam R in duplicata relocitatis
- TaTIONC dECTCICENtEM, AMIELEL MOtuS sui UL Partem. F
- TM
- eo manente
- Parte ee deseribet spatium quod sit ad spatium moru uni-
- Formi M eodem tempore + deseripeum, ut Logarichmus numeri
- I +
- mulciplicatus Per numerum 2,302585092994 CA ad nume
- rum. . Nam arca FIyperbolica BC FF est ad rectangulum
- BCGF in hac proxortione.
- Scholium.
- In hac Propolitione exposui resistentiam de retardationem PrO-
- jectilium Sphaericorum in Mediis non continuis, ex octendi quod
- haec relistentia sic ad rim qua torus Clobi motus rel colli posit ret
- generari
- lORPORVI
Cite
[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 302. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0336?run=74