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Machine transcription of the Leibniz Nachlass

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[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 86

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.

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

The machine reads it as

  1. DE C15SOLBC.
  2. TuOHIEU, UE 5 ad T. EpatiUM IBIEUT FCZ AF in luo SicU, aequipon-
  3. derac quincuplo temicirculi in sicu suo, sive in distantia C C su-
  4. spenso; adeoque semicirculo in distantiae CO quineuxla. FF
  5. consequenter (proprer diltantias magnirudinbus reciproce PrO-
  6. Portionales) cum spacium su semicirculi criplum, erie dictantia
  7. distantix suberipla, hoc elt Z C 6, vel 3C F, nempe a recta C a:
  8. Adeoque ZC C vel Z C F a recta F A. Toncundem icaque distat
  9. ictius spacii linea ceneri gravicatis (ec, Ciquod est, iplum gravica-
  10. tiS CenEruM) a rectis illis C a F A. Quod erac oMendendum.
  11. Idem eodem modocolligitur, sumpta ab inicio, aequilibrii
  12. linea F A. Nempe cum series magnicudinumm LZ. sIc V
  13. _ distanciarum D = a3 EIt ex ucrisque composica series memen-
  14. EOruM V D in D = a: hoc est N a in V: D = a: hoc est
  15. Teries Na in seriem a a inverse ducta; cui conrenit (uE supFa)
  16. ratio r ad 4 D. Mommentum icaque dicti spacii in luo situ (respe-
  17. ctu F A rectX) est ad momentum quadraci F C in distancia FC
  18. Sulpensi, ve 2 ad 4 D; adeoque ad inomentum semicirculi sC su-
  19. Spen(, uc X dd 2: Hlocest, aequiponderat semicirculo suspenso in
  20. diltancia Z F C, hoc est ex puncto C cenero, ho- elt in TuO sIEU.
  21. Cum isicur spacium illud Cissoidale in luo sicu xequiponderae Se-
  22. micirculo in svo, (respectu rectae F A;) Cicque spocium illud Se-
  23. micirculi criplum: Fric aistantia distancia suberipla; hoc eAt
  24. 3F C, vel Z F C, nempe a recta F A; Adeoque Z F C, vel ZFC,
  25. a recta C a. Ut prIUS.
  26. Acque hinc Ratim colligimus; Solidum ex conversione dicti
  27. spatii Cissoidalis, ad solidu ex convertione semicirculi, circa can-
  28. dem rectam C a, ese u 5 ad T, (nEPC UE PLANOTUML MOMENCA
  29. respectu ejusdem Ca rectae:) CirCA FCCtAIL AULEM F A (prOPTCF X-
  30. qualia planoru momenta respectu hujus rectae) aequalia esse Colida.
  31. Si quis aurem quaerae, de Polidorum hujusmodi semiconver(.O-
  32. ne factorum, ceneri gravicaris linea, sive ejusdem ab LA vel C a
  33. diltancia: Id eodem plane modo invelligabieur. Duippe cum se-
  34. micxlindricae superticies rectarum I.Z Pemiconrertione Pa Tarum,
  35. Sinc rectarum illarum momentis proxorcionales, hoc est (respestu
  36. recta Ca a) ut V
  37. D= ad Tuorum que cenerorum ab eadem recta,

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 86. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/85138403X:0102?run=74