Leibniz Legible

Machine transcription of the Leibniz Nachlass

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LBr. 57, 1 · Bernoulli, Joh., fol. 147v

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: 0.88.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

One image of two folio pages side by side, registered by the library under both labels (also fol. 149r); this page is its left half.

The machine reads it as

  1. dum arculum cerin ratione composita ex simplici divertia spatiolorm
  2. percurrendorum Mn, Ce et subduplicata recproca altitudinum MD, CG
  3. id eit tempus per Mm. tempus per Ce:: Ma
  4. CK:: MD. CNC:: LMD. VCX) rma
  5. CC
  6. Mo req i (ob Mm. Ce:: Mk
  7. NC+
  8. VMDVCG:: NCG. VCF; quohiam autem
  9. CG odenra eit M hor quon CF, erit elian tempus per Mon mihus quat
  10. tempus per ce et potioin jure mminus quatu tempus per Ce hypotenn
  11. tan frianguli neclanguli Cec. Ergo ten pus per onnes Mm id eit
  12. per eycloidemm AMB et Minus quatu teu pus per omtes Cc id est per
  13. lineat ACB. 9. es d.
  14. Ortendendum adhuc mertat (ut problemati pletistine satiiat
  15. quomodo a punito, dato tanguat vertice describende sit brachy.
  16. dochrona seu cycloit transitura per aliud punitum datut; quon
  17. sic facillitie expeditur: conjungantur duopunita data A, B(F ig. II
  18. per lineam rectesa AB, et super hocizontalo seL.describatur cy dois qua
  19. cunque libuerit inilium sumens in A secantu rectatm AB in R; quo facto
  20. fiat ut sR ad Asila diameter cireul: Genitout cycloidis AR5 ad
  21. quartam quae erit dianeler cueul genuoris eycloidis quanita ABC
  22. hancitura e
  23. Aate Siina soa postum quia itercim natie prodam,
  24. anino revolven ineaperlatam illam identitatem icoitiona Hugenia
  25. na nostraeq Bracmullechrona, Quod notabile praterea exirlimo
  26. illud eit quod hacedentitas in sola hypotheri Galilui reperitur,
  27. adeo ut vel ex ea consicere luceat illati Katura esse consentuneate
  28. quod quemadiodum seuper operati solet modo simplicissimo, ita et
  29. scc per unam eanerqe lineam praset duo diverra officia, cum in
  30. geavis alia hypothesi duabus ad id opus escllineis alia netpe pro
  31. oscillationibus agcedenturnis et alia pro aeterrimo detenur. Ut si
  32. et. gr. celeritates gravium cadentium escent non cnsduplicata sed
  33. subtriplicata ratione altitudinum, brachydorhrora foret alge–
  34. braica iochrona autem transendent; berun Lsceleritates esteut
  35. ut iprae allitudinet, utraque fieret algebraica, illa quidem circu–
  36. laris, hac vero pelta.
  37. Non ingratum fore Geometiis judico, L: appendicis loco solutio
  38. nem ipris dedero problematis consideratione pariter digniscimmi,
  39. quod et occasione praecedeptis inter scribendum in mentem incidit:
  40. CpC∞. IV.
  41. Occaritem in platoverlicali calva PB (quate Synchronam appellare

Cite

LBr. 57, 1 · Bernoulli, Joh., fol. 147v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/DE-611-HS-958803:0296?run=74