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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1007

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: 0.88.

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

The machine reads it as

  1. YN CVLA CYLINDRIC
  2. etOSIIIO EXIX
  3. Aca SErngula AC D, a cylindre l decustata, habens alcicudi-
  4. nem diamerro baleos aequalem, a qua abscissum sic sermencum
  5. GBC D, Plano peraxemesameuntc. LX puniclo altem aacca
  6. Dico scomencum rnglate CB.C a Guae eie pamiat culus balis
  7. estrectangulum ADH, L alcicudo Cemidiamerer CD.
  8. sic B Fnormalis ad diamerrum AD
  9. Demonstratio.
  10. Atat Fuclld. Prop. 10. 12. eric Pals solidi cxlindro conseripri, criam contcripea vsau
  11. cuius excessus lupra ongulam erie pars excessus quo solidum crlindro cmput
  12. supetac csdrum. llare cum excessus Colidi conscripei oylindeo lupra cylindeum
  13. Sc dacominor, erit a Forciori excellus Colidi rngulx conscripei supra vngulam daco
  14. minor, ac proinde criam minor excelsu quo prramis ponitur superare ongulam. Fr-
  15. 50 solidum rnsula conscriprum minus elt prramide. Duod repuonac 67. hurus. Non
  16. isicur prramis maior est vrsula. Quarc cum neque minorem eMe probarum sic lu-
  17. pra, xequalis crit. Ouod tuic demonstrandum.
  18. Analosia cum sphaera.
  19. DkMa hic clucee inter sphaeram ee ungulam similirudo. DCMOMMFAIIE AECHIL
  20. melles propol. 38. libriprimi de Iphxra e cxlind. Termento sphaa luatenet
  21. Cc conum cuius balis est alscalis superticici seomenci, alcirudo lemidiamerer sphe
  22. ex lemilicer de nos iam demonsranimus seomencum decullacum ab vnoula pla-
  23. no per Cflindri exem cranscunce xequale esse prramidi cuius balis est rectangulum
  24. ADF. (quodper 46. huiuts aquarur superticiei rngularis sesmenci D C. B) alcicudo
  25. aucem aqualis Cemidiaetro (FD.
  26. Dcamis enim illa nec maior estnec minor
  27. Ccgmencorngulari. Ecenim, Cheri porest
  28. primominor, per 6. huius inscribipocest le-
  29. omenco rngulari C B C D Colidum, quoi de
  30. heiac a Seomento quanticare minori data, 2-
  31. deoque cciam minori quam prramis ponatu
  32. deficere a sermeneo C:B C D. Colidum igicus
  33. inseripcum leomenco BC D, maius cric pr-
  34. ramide cuius balis est rectangulum ADF, _
  35. alticudo GD. Ouon lepuenac peacedenti.
  36. OBCD
  37. Non igicur prramis minor cst segmenco
  38. Ponatur deinde, si Reri pocest, prramis es
  39. se maior segmenco GBC. D. Cylindro cuius
  40. Pars estonsula, conscribatur (olidum superans
  41. exlindrum quanticare data minori, quod pra-
  42. ROPOSITIO LXZ.
  43. Xprxecedemi Theoremate alitet demontrabImUS PFOPOLITIOM. 24.
  44. Scuiushaec cstaserrio. Omnis rngula a cylindro recto abscissa, alciru
  45. dinem habens parem diamccre vatos (I) aguacur pscamidi cuius
  46. balis es quadratum diamct (D) alricudo aurem semidiamerer (OD.)
  47. L et 2
  48. Demor
  49. u e at i 1 s tte es t e s a t ete st t pet qute te t te e t tit et u e e e e te e e et e e st e e t e e e e e e s et . te. 1

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1007. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:1064?run=74