[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 51
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
- acta malccatia
- Inveniatur vis quae cendic ab s Pervola centro C. Prodibithaec
- distantiae C. P proxortionalis. Inde vero (per C orol. 3PrOD. VIT.)
- vis ad umbilicum Scendens crie ue
- reCIPTOCE UE SF9. 2. F. I.
- D F. Cub
- 5F hoc eAt, ob datam P F.,
- Eodem modo demonstratur quod corpus, hac vi centripeca in
- centritusam versa, morebitur in EIyperbola conjugata.
- L E M M A XII.
- Latus rectum Parabolae ad verticem quemvis pertimens, est quadru
- plum distantiae verticis illius ab umbilico firurae. Patet ex C Onicis.
- L E MM A XIV.
- Perpendiculum quod ab umbilico Parabolae ad tansentem ejus demitti
- tur, medium est proportionale inter distantias umbilici a puncto con
- ractus e a verrice principali ficura.
- Sic enim AQ F Parabola, S umbilicus ejus, vertex principa-
- lis P punctum
- contactus, PO
- ordinacim ap.
- plicata ad dia-
- metrum prin-
- cipalem, F NI
- cansens dia-
- metro princi
- Palioccurrens
- in M, _
- linca De
- AN e OF, ec inde triangulum S_ N rectangulum M 2d A e
- limile criangulis aequalibus SElL VILL.
- et SNV ad d A.
- Lut60 L 8 Cl de d2l3
- Corol. 2. FSg. CA ad S Ng. UE F SadS
- Corol. 2. F.F ob datam S A, cA SNg. ut PS.
- Idem aliter.
- dicularis ab umbilico in tangentem. Jungatur AN, de ob aequales
- MS ec S F, MN e NF, M A et AO, Parallelae crune rectae
- D
- eximve
- Drol.
Cite
[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 51. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0085?run=74