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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 40

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: 0.89.

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

The machine reads it as

  1. L IN E A R V X
  2. Lortacu numeruSIOO. Cx.
  3. Posicus; diuilus in quotuis
  4. parces; verbi gracia in AC
  5. CD, DB. ACqUC AC PaF-
  6. Ctu LO: CD, ParcIu 30.
  7. relidul Pacclun
  8. iubetur linsulas parces mul
  9. ciplicare per lciplas: produ:
  10. cene lx mulciplicaciones
  11. cressummas; quarum prima
  12. 400. Secudla 900. FCTEIA 2500
  13. Parres continebie. Vlcerius
  14. iuberur AC, mulciplicare
  15. per numerum C B. hoc cA
  16. 20. per 80. & cmeroit lum
  17. ma1500. guxe bislumpta, ex-
  18. crescic ad summam 3200.
  19. Denique hoc Facco, ctiam
  20. numerum CD ducere in
  21. DB. X exlurser Cumm a 1500.
  22. lam, cuius summa elt 10600. quam Cicomerra discursu propolicionis iam polux, ola
  23. mulciplicatione numeri 100. per 100. tactam illico manitestam habebir, scilicet
  24. 10000.
  25. SITIO LXIL.
  26. VI Fuerie AB linca, divitave-
  27. cunque punctis C D.
  28. Dico rectangulum sub AB, _
  29. comboia ca HODB, Ia Cum sectanoulo (ub CD, _ COmPOTITA CX
  30. ACDB; aquale esse rectangulis BC A, DBC, ADB, C AD, simul
  31. Cumpris.
  32. 900
  33. 2500
  34. 3000
  35. 3200
  36. 10000
  37. qux es sumpea efficie numeruim 3000. canem collioir haec producta in vnam mas-
  38. PROPC
  39. Demonstratio.
  40. 21. Sccundi. Z EClatiSutu LUPeL AID, d CopOliTa Ex AC DB, aquale a cA rectangulis
  41. AB, DB A; id CM CCMAANS ACB, ADB, una cum quadratis A C, DB;
  42. id es xquale rectangulis C DB, ACDB, DCA, BD CA, una cum quadraris
  43. AC, D B. Rursum rectangulum super C D, d Composica ex ACD B, equale cAt
  44. rectangulis AC D, CD B: igicur rectangulum super AB, _ COmPOLITa CK ACDB,
  45. una cumrectangulo super CD, e composita ex AC D B, aequale est rectangulis,
  46. CDB, ACDB, DCA, B DCA, ACD, CDB, una cum quadraris AC, DB.
  47. Icerum rectangulum B C A, xequalc est rectangulis DC A, BDC A; icem DBC
  48. rectangulum, aquale est rectansulo BDC, vna cum quadraco DB: icem ADB
  49. rectangilum, aequale est rectangulis CDB, ACD B; denique rectangulum,
  50. CAD, aequale est rectangnlo ACD, vna cum quadrato AC; igitur rectangula
  51. BCA, DBC, ADB, C AD, aqualia lunc rectanigulo (ub AB, _ COmpolICA ex
  52. ACDB, rna cum rectangulo lub. CD, ex compolica ex AC D B. Ound crat de-
  53. monstraudu.
  54. PROPOSATIO La
  55. ectangulum, aqualeherectangulo BF. C.
  56. Lclatu D cat icumsdeC B Aelumin L. Mulaerc, Vt AL.L
  57. Con
  58. e ui ei pii u et pr iu p u e u u it i te pti t t . 1 p u 1e pr u. t 11

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 40. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0097?run=74