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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 343

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. erit
  2. DTr
  3. EL L LPSL
  4. 5
  5. 343
  6. ve DC cltad ON: sunc aurem anguli DCS, ON T rectisigitur criangula DCS.
  7. ONT sunc similia, angulique DSC, OFN aequales: quare ex anguli DSL
  8. OT P illorum dupli suncxequales _ DSF, OT P sectores sunc similes, adeoque e
  9. SEGMENEA DBF, O L P sunc limilia. igicur ve sesmencuO F P ad circulum L,OM, li0
  10. lesmencum DB F ad circulum D B A: sed eciam ve scomencum OL. P ad circu-
  11. lum LOM, SIC ScEmencum a O FR ad elliplm. quare ve segmencum DBF. a+
  12. cirgulum AD B, SC O I. R segmencum est ad ellipsm FL G, hoc est ex ContrU- ius
  13. ctione segmencum TC,K ad elliplim FP Ci, e permucando cA sermeneum DBP
  14. adscomentum IOK, vecirculus ADB ad ellipum FP. C. Duod crac primum.
  15. Sic iam Cermencum DBF ad scomencum TCK, ve circulus AD B ad ellipsm
  16. E LR: dico B S, C F lincas in C _ FI, proporcionaliter esse divilas. POn AnEuF CA-
  17. demomnia quae prius: Ouoniam est legmentum D B F ad segmentum FGK, id est
  18. OIR recirculus AD B ad ellipsim F L. R, ex permucando DBF. sermeneum ad
  19. 2. ha
  20. circulum ADB, VESESMENEM O L R ad cllipsim F L. R; siC auremB et OY PB shil.
  21. seomentum ad circulum OLMI, ve OL R seomencum ad cllipsim F P R, cric vese
  22. ementum OL P ad circulum P. OM, SiCD BF segmencum ad circulum ADB.
  23. Duare _ sectores DS F, OT P sune similes d anguli DSF, OT P adeoque _
  24. illorum dimidii DSC, OTN xequales: sunc aurem et anguli D CS, ON T recti;
  25. ixicur criansula DCS, ONY similia: _ ve DS ad O I, id est BS ad L I, SC
  26. SC ad NT. quare BS. L T in C ee N proporrionalicer lune divilx. Scd cum per
  27. constructionem segmenta OL R, IOK sinexequalia, erie ve L Y in N, SiccC F cs2. bniuni
  28. dinila in H. isitur ve BC ad C S, sic OTI ad H Y. Ouoderac demonstrandum.
  29. PR OPOSTTIO CEXZEVIII.
  30. Sio ABC ellipleos sexmentum quodeunque ABC, sumacur
  31. aurem incirculo D F F. Scgmentum DF F, quod ica se habeat ad
  32. luum circulum, ve AB C segmencum ad ellipsim suam: dein- ABC.
  33. DE F segmentis triangula inscribantur maxima ABC, D P F, divililq
  34. AB, D F. lincis bitariam in LI et L, agantur per H, et L, diametri C 1,
  35. KM.
  36. Denon
  37. Do illasin H e. Propraet esc lcctas.

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 343. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0400?run=74