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[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 453

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

  1. PRINOIPTA MATHEMATICA.
  2. 453
  3. RE Per punctum P aBREUT (per hujuS LCM. VIT.) recta AF. C, LIBen
  4. cujus parres AF, PC ad rectas T A _C TC terminatX, (INE 24 TEK1
  5. invicem ut tempora V ec WV: et crunc A e C. loca Cometae in
  6. plano Felipricae in obferratione prima ac certia quamproxime, II
  7. modo B AE locus ejus recte assumpeus in obserratione secunda.
  8. Ad AC bilectam in Perise perpendiculum Ti. Per punctum B
  9. asc occultam Bi ipsi AC Parallelam. Junse occultam Si secan
  10. tem AC in n, et comple parallelogrammum i ln u. C apc 10 aequa-
  11. lem 3In, ex per Solem Sagc occultam 0E aequalem 355 = 3i N.
  12. Ec deleris jam liceris , P, C3 I, a puncto B verlus punctum E
  13. duc occultam novam BF, quxe sic ad priorem BF in duplicaca
  14. ratione distantia BS ad quancitacem Su F 3in. EE per punctum
  15. F icerum duc rectam FC cadem legc ac prius, id ctt, ita uE ejus
  16. DArEeS AF eC FC Ent ad invicem, ut cempora inter obterrationes
  17. Y _ WY. FECrunt A e C loca Cometae magis accurate.
  18. Ad AC bisectam in I crigantur perpendicula AM, CiNV, IO,
  19. quarum AM ec CN Unc tangentes lacicudinum in observatione
  20. prima ac certia ad radios T A e TC. Jungatur M N (CCanS IO
  21. in O. Constiruatur rectangulum iIn u ue prius. In PA prO-
  22. ducta capiatur ID aequalis Su + Zin, e agatur occulta OD.
  23. Deinde in MN versus Ncapiacur MF, quae sic ad longicudinem
  24. suxra inventam X, in subduplicata ratione medioeris distantiae Tel-
  25. luris a Sole (Peu semidiametri Orbis magni) ad distanciam O D.
  26. Si punctum F incidat in punctum N; erunE A, B, C tria locaC0-
  27. mecae, per qua Orbis ejus in plano Fclipricae describi debet. Sin
  28. punctum F non incidat in punctum N; in recta AC capiatur
  29. CO ipSI NF aequalis, ita uc puncta C ec P ad caldem partes
  30. rectae WVC jaceanE.
  31. Fadem methodo qua puncta L, A, C, G CX alTumpeo puncco
  32. B inventa sunc, inveniantur ex alsumpeis uccunque punctis aliis
  33. b Sc B puncta nOra e, a C, 5, eE, a, X, V. Deinde (i Per C, 5, 3
  34. ducatur circumferentia circuli GQ V. secans rectam + C in Z: Crie
  35. Z locus Comerx in plano FclipEICR. EF SI in AC, aC, ax capi-
  36. anCur AF, af, a ipsIS CG, c8, x Y respective aequales, ec per
  37. puncta F, f p ducatur circumferentia circuli F fa, lecans rectam
  38. AT in X; erit punctum X alius Cometae locus in plano Relipricae.
  39. Ad puncta X ec Z crigantur tansentes lacitudinum Cometxe ad ra-
  40. diosT X X FZ; ee habebuntur loca duo Comcexe in Orbe proprio.
  41. Denique (Per PrOP. XIX. Lib. L.) umbilico S, per loca illa duo de-
  42. seribatur Parabolas et haec erit Trajectoria COmerx. Q. L. L.
  43. Con-
  44. CMMMIHHEMEHMISIIIIEMBANAIIIHIISIIIHIIIICII

Cite

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 453. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0487?run=74