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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 349

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: 0.87.

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

The machine reads it as

  1. E L L. IP 5TS
  2. tiabeneis latera quor xe quales perebancur sectores. quoniam auce pereban sellores
  3. aequales lex, erir AF lacus hexagoni. ponacur ergo P. P C normalis ad A Cdiunsancur
  4. icE vE F F ad F Citacriangulu L. De ad criansulu GD F: ergo vecirculus ad elliplin
  5. ica cAlector F. D. A. ad scctorem DA: led loctor LD A es parscerria lemicie
  6. culi, cum linea AP. ic lacus hexasoni; ergo e sector CD A cerria pars semiellip-
  7. sCOSCrIT. Cum aucem EB ips AHI aquidistCE, CFUNE SCGMCNCA AG, BH: adcoqi
  8. _ sectores ED A, P D HI aequales inter se: hoc elE (exTa parS CMipseOS EOTIUS. AaNE L 57. BHE
  9. modolesmenco BHI aequalia lesmenca LIP, TK iunsancurque DHI, DL, DK ins.
  10. sectoresisicur D BFI. D TTI, D TK aequaneur adeoque linguli sinc sexrapars ellip.
  11. (co5. ex simul sumpri lemiclliplim consticuune B C R, reliquam isicur lemiellipsm
  12. B AK seca vedinila est BC K, ericque cora olliplis in sex x quales sectores divita.
  13. Duodtacere oporcebat.
  14. PROPOSITIO CZCLA.
  15. Scocirculo ABC Cus cenerum F. inscripeum porssonum quod-
  16. Sus regulare AB C D: ductaque diamerer FC secer lacus quoduis
  17. AD bitariam in II: IE alrem _ P R L ellipleos diameter quae cunque IL.
  18. divisa in M siCuE FC CA diuila in HI, agacurq. per M ordinarim linca
  19. NO ad diamerrum IL.
  20. Dicorectam N O, esernum e laceribus polygoni regularis inscriben-
  21. dielliplicoclacetum, quoc est polygonum circulo ABC inscriprum.
  22. Polrsonum aurem ellipticum regulare roco, cuius singula larera ab(cin-
  23. dunc elliprica segmentaa qualia.
  24. Demonstratio.
  25. n
  26. que E D, CD, BD, CB. a aequidister A HI: dico Factu eNe quod petitur. re cir-
  27. culus ad clliplin ica est leomoncu FF A ad legmencu C F A id elt vE F C+ ad F B: CAq:
  28. VCatuT EK O linea O P auFerenS sesmentum a qualC SeGI eHEO NY F O , ex
  29. P recta PK quesesmencum auferac xe quale Segmenco NL O, dein ex R II.
  30. nea KO auterens legmenrum equale legCHEO NLO, eric O punctumidem
  31. cum puncto N. Junctis enim in circulo AB C punctis R A, E B, R C, S D dueancue
  32. in cllipsi Semidiameeri, R R, R NI, R O, RP. Ouoniam diamerri F G, TF CuHEinHI
  33. _ MI. Proporcionalicet dinilas se AD, NVO linex per II _ MI; acte ordinarim ad
  34. diameeros F C: TL. erit B VESeCFOT A F D ad circulum A B C, SIC NR O scctor ad b iso. M
  35. ellipsIM TR P: SUINEAUEEM CAM A E D, DF C. C F B, BF A SCCtOTCS, qUaM CNR O, ins
  36. ORP, PRK, K R O sectores incer sC aequales, (quIA NO, OP, P R, K O sCg
  37. ta luncaequalia) igieur re sectores quacuor circulares ad tuum circulum sc cllipeiet
  38. Sectoresquatuor ad suam ellipsm: Sed tori circulo x quantur sectores cirluates, st
  39. cur e ellipsi (unc aequales sectores elliprici. quare punctum 1 idem est citi punle
  40. N; _ RNO P polygonum est regulare roc larerum fadt en polssouum circulo in-
  41. Ccrixcum. Ouoderat.
  42. X
  43. hat-

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 349. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0406?run=74