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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 855

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. eRC
  2. PL ANV M
  3. PROPOSTTIO CCXXXII
  4. TIrculum AB C SeceEper centrum acta recta B D, cui AAFUIRCUEX-
  5. souidistans AF. OpOrret aurem parei cynu habenci basim Ce-
  6. Sudencum AFF, et alcicudinem BD aliudxquale exthibere, qudd
  7. SEal aceca fucadoaua Pacclula la Lechulcem.
  8. Constructio e demonstratto
  9. EctiS AF AanEaequalestinca F, C. H, inparallelis F V, SecancibuS AF; ad
  10. LSCeneur. Denique quoniam oltondimus Meas NOe I. M vircuales ello paca
  11. rectos angulos; rectis quoque s I ponancur aquales P, C L, linca; Rmilicer li-
  12. neis AV, aequales sacuaneur V, C+O, veicriam rectis F V, Xgnales V, CM, col-
  13. Bolas, reducantur hx ad Formales aC veras RR, P1. e SS, F Y, prouc luperius
  14. explicacum est, ostenden dum igirur superticiem TK, ductam in SP, qua amba
  15. Tunc parabolicis lineis conclula, exhibere magnicudinem quancicaci parem illi, qua
  16. resulcar exbasilegmenti AF F, d alcicudine BD. quod sc constabit. agaEUF X Y.
  17. aequidistans AC, sedper circulicenerum: iungantur quoque Z A _t X P, vri criam
  18. AF _E FF, criangulum A X F. cam rationem habec ad AF F, criangulum, quam
  19. habec linea XZ ad F G, perpendicularem ad A F, sed crium criangulum A Z F.
  20. ad A F F, criangulum habecrarionem compolitam exracione AX ad AB, X CXFa.
  21. _ exratiONC ZF ad FL: lea ctau am AX F ad rectangulum AFF
  22. tione X E ad F E, igicur racio X Z ad F C, composica est ex ratione A X ad AF
  23. habecraltonem compolitam ex ratione A L ad AF, d exrarione X F ad F Fi igi-
  24. cur eriam racio rectanguli A L C ad rectangulum ALF, eadem est cum rarione
  25. X Z ad FO: rectangulo aurem A X F aequale est rectaneutum ZY, XZ; igitur
  26. propolicionem quadraselimam quincam huius, luperticies s P, quam octendimus
  27. ZX Y, cectangulum ad rectangulum AFF, eam habet rarionem quam linea XZ
  28. ad F C, lincam; ergo rectangulo FC, XY vel BD, xqualecA rectangulo AF F
  29. sedlincae AF aequalestunc ex constructiono rectis CN, _ linea FK, xquales sun
  30. ex eodem capire rectis GL. Rectae vero GNY, e CL aequales sunt quoque lincis
  31. SP, FKi igitur rectangulum S P, YR, aqualc est rectangulo F G, BD. quare per
  32. palablis incerceptam, duecd li planci L R. (Gloa idem elt cum Se, linverracues
  33. exhibeb corpusaale adimi luper bali legmenci ALiF, constirure habelt
  34. alcuamem aqualem MaMCErOCICUIBD. Suod erac extibendum
  35. 4944
  36. Corot.
  37. aees seo o 122Sa e te no oEoreea e e

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 855. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0912?run=74