Leibniz Legible

Machine transcription of the Leibniz Nachlass

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LBr. 57, 1 · Bernoulli, Joh., fol. 149r

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: 0.95.

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. 147v); this page is its right half.

The machine reads it as

  1. liceat) ad cujus singula punita B, grave ex A decendent per cycloidet
  2. conterminat AB aequal tempore perveniret. Sit AG horizontalis, et
  3. AD verticalis: sengus problematis talis ede ut descripta super AG cycloi
  4. de quacunque abrindatur ex illa portio AB, ad quata percurrendata ex A
  5. descendens grave, idem tempus requirat quod reguireret ad decidendum
  6. ex determinatâ altitudine vertitali AS; quo peracto erit punitum B in
  7. curva sytchionu PB quam oecaerimus.
  8. Si atteate considerentur ea quae supra diximus de radio luminis, haud
  9. obscure patebit hanc curoan eam ipiam esse quatm Hugenins insuo
  10. traitate de Lum. pag. 44 in schemate suo per linean DC repraesentat
  11. vocatqe undam, quae quehadmodum omnes radios expunito luminoio
  12. emanantes hormaliter secat ceu optime notat Hugenins, ita et nocha
  13. PB omnibus eycloidibus AB comune initium se habentibus ad angulos
  14. rectos ocuvrit. Quod Si problema hoc modo in pure Geometineut re
  15. deutum proponere libeistet. Invenire scilicet curvat quae omnes cyeloi
  16. des comunis inilii normaliter secat, profecto res magnae molis fuiscet
  17. Geom etris ne ducam insuperatilis. Loco quod es altera facie qua desen
  18. cum gravium respicit consideratum ila facillime construo: Sit Cydoi
  19. dis ADk circulus genitor GLk, ejuuque diameter GK; abscindatur arus GL
  20. aqualis media proportionali inter determinatam astumtam AP et dia,
  21. metrum Gk: dico duitam LB parallelam horizontali AG, secare cyclo
  22. idem ABK in puncto B, quod erit in curva syachrona quasita PB.
  23. Si quir methodum suat in aliis epercere velit, quarat Lincon quae on
  24. dinatim positione datas curvas (non quidem algebraicat quod haud
  25. arduum foret sed) transcendentes es. gr. logarithtnicas super comuni
  26. axe et per idem punitum duitas ad angulos rectos secat.

Cite

LBr. 57, 1 · Bernoulli, Joh., fol. 149r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/DE-611-HS-958803:0299?run=74