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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 92

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: 0.72.

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

The machine reads it as

  1. . p11. 1. 1
  2. P RIO G RIE IS. SLO, NE.S
  3. ∞ O 4 Cs s c
  4. resiiorit csluaoirogonze oril 1OMLEPI
  5. Cerit sisret tBH P e SICISC A _ SBR S.IL
  6. etZB2BBLB SNESE elo ME Si GICN
  7. (1ct lisre
  8. 113 (R 11CV1D9NIENOG. rBCIL H CZLEB
  9. ntA BC.MSLI P 35 S L3.dt
  10. EEADCIS) C 3~BEGDD ALIMLABMIKE i. 71
  11. Si EEhLSHSS etCt S Bd sA et BLeCSOP VC Ci13BBAOMOH 13LCC 9LLD AL
  12. 1133
  13. Fodem IDdoS Caa, cum dinersae speciei curuilineis, cres nempe parabol
  14. similes, cum cribus hyperbolis similibus, conferaneur, cadem his quoque demon-
  15. Arandi racio conveniet: cum cam parabola limiles, quam hyperbola sint in duplica-
  16. ca racione subrenlarum. Constac igirur huius cheoremaris rniuerlalis reritaS iil
  17. PROPOSITIO LXZ.
  18. eiba
  19. Ie DC cridus aamisum rect a linea DB; ducancurq; lIneE D E,
  20. DEEstCSG baLI AC, _ lateri BC parallele quor libuerie.
  21. Dicoomnes AD, EF, CFI, lK, ireM DE, F C, HII, dec. essc in cadem
  22. concinuata anal0gIa.
  23. :C3d 6: 3 st 5HP. 1
  24. Demonstratio.
  25. :2
  26. erit
  27. 11~IS Bit B 31BFLSSBB DEH CLCB le CDRoducaneur enim linex GF in L.
  28. 10203 13 escilis3o2 v3l alliur Pu
  29. ep 13 esleeriit
  30. aEXuim. cit
  31. b 2bia.
  32. 2
  33. b
  34. caron
  35. l CD
  36. A F F in M, GHI in YB CE TEIinP.
  37. sicur cum paralelxe sInE AC, P.M, exir
  38. AD ad DC, VE FI adFM. d com
  39. ponendo AC ad D C, VE FM ad FM
  40. es 3 L CB E te n Ea CA V DC ad F C: Cunc igicur in
  41. Sit crop ceim l.B.
  42. . B FE 11
  43. continua ratione AC, DC, L. C, qua-
  44. rCd AD . ad D L, id CAt F F VE AC
  45. est ad DC. Similiter octendam este
  46. COnTINUAS EM, FM, P M: vnderursuS
  47. CAVGPM B ad FML (id CA vE AC ad BC, id CA AD ad RF) BC F. F ad FP, id
  48. CA C TI. continue proporcionales luncigitur AD, LF, CII: eodem modo osten-
  49. dam TK, ee alias quorcumque in eadem seric eAse concinuas. Dein de cum AD ip(
  50. E F, _ D F ipG EC Sicparallela, pacer similia esse criangula AD F, F F C+: CF-
  51. BOVE AD ad EF, ita D P ad P C: Similicer ostendam essC vE F F ad OFI, ica
  52. ti C 2d FTI. quarcerunc etiam D E, FC, IFI, _EC. continux, ex quidem in ca racio.
  53. nC in qua sinE AD, F F, GFI. Ouoderar demonstrandum.
  54. P R OPOSITIO LXZI.
  55. Va linex A L, F L angulum FacienEES, SCCtX LINEIN CONEIHUC PFO-
  56. portionales, quarum cumque rarionum AL, BL, CL, DL, FL,
  57. dec. irem LL, GL, tIL, _c. dein oppolica sectionum puncta lineis AF,
  58. BG, CHI, DI, RC. ConiunganEuT.
  59. Dicorriangula AFL, BCL, C FTL, d carera in infinicum esse in con-
  60. cinua analosia
  61. o lFEsiloyey stao3d2u3
  62. Demon.
  63. tit ia . a . e e 1 1 e pui a puu e et t p e t i n ar n n i

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 92. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0149?run=74