Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 8

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: 0.86.

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

The machine reads it as

  1. arithmetica infinitorum.
  2. PFOP. 1I.
  3. SuInEeniM FCET MA, AB, BC. C. D, invicem aequales (PrOP-
  4. ter aequabilem progreltum puncti mobilis in recta MA, eriam
  5. concinuata, tancum in una circulacione aquabilicer progrect
  6. entis quancum in alceras) adcog; ram radii MA, MB, NC,
  7. MD, quam Peripheri (iltis raeliis descripea) A, B, C, D, TumE
  8. 2d in ricem HC 1,2, 3, 4. Si igicur Cumaneur peripheriae, prima
  9. semel, secunda bis, cerciacer, quarra quarer, erune illa mulii
  10. Dlas (DOca L A, 2B, 3C, 4D,) ut numeri quadcaci 1,4, 9, 16,
  11. SIrC Tar, 2n2, 323, 424. PC proxeerea etiam horum mulciplo
  12. rum Cemises, hoc eA (Per PrOP. 5.) spirales MA, MAB, MABC. 3
  13. MABCI.
  14. Vel alicer, E circuli primi peripheria PonatuE A--p, erie le
  15. cundi B--2 P, cercii C =- 3 P, quarti D = 4 P, _ GC deinceps; &
  16. 1A -- IP, 2B = 2 a 2P = 4P, 3C--323p =9P, 4D= + X 4Y
  17. 16p; _C. EF (Der PCOP. 5) Curvae SpiraleS M A - = P
  18. MAB == =B =
  19. 2B.
  20. ZB MABC = ZC = ZP, MABCD = =D -
  21. = P, etC. Ideog; ad inricem uE 1, 4, 9, 16, Qc. hoc est in dupII.
  22. cata raciOnC reCtarUM MA, MB, MC, WD, _C. (qua lune a0
  23. Inricem uc 1, 2, 3, 4, _C.) Ouoderac demonstrandum.
  24. PROP. XI.
  25. Corollo
  26. iT universaliter; Ejusdem (vel similium) spiralis
  27. seementa qualibet (a principio spiralis exorsa) sunt
  28. ad invicem in duplicata ratione rectarum contermina
  29. VuM.
  30. Cum enim (per constructionem linex (pira lIS) eadem HEra-
  31. siO reCtaTM M T, MY, qua c angulOrUM PMF, PMT,
  32. Canguliroce colentu lumpea qui TapTa IMNIIEUE DEOP. 5.) T2a
  33. EIOArCUNMPT, PT, Cquae ex duabu. illis rachonibus compon
  34. NIEIE. ) AERE CUrVarUM MIT, NIF, (quae ictorum arcuum sUnE
  35. Temistcs) eric duplicata raCIONIS rECtaTUM MT, MF, tOu UE
  36. MTG. NT9.
  37. Sicv. 8. si recta MR ( unius circulationis) dicatuF AY, et DC-
  38. nipheria circuli primi (eo radio delcripca) 2P, erie spiralis
  39. MA = = P. lsicur, in una circulatione cum Lemisse, Aet recta
  40. COntErminE 3=r =Zr, de Peripheria concermini circuli Z P, qua
  41. duct

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 8. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0220?run=74