Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 334

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. 27O. hu
  2. LLIF5IS
  3. PR ODOSITIO CLXKII
  4. erum circuliin H, C F vero ellipleos diamerum F. D in C.
  5. Sicoiunctam CH aGuidittare BF.
  6. Demonstratio.
  7. DOHaTUE PEF F, linea TK aequidistans B. B.
  8. iunetilque punctis FD, ex FY recta duCacVE
  9. HC, Parallela IK, occurrens FD linex in I.
  10. _ F. D in C. Duoniam TK aequidistacrangenci
  11. F, B, 2IF, F K linex incer (e aequales lune; quare
  12. e FFO, linca aequidistans PK in L, diuila quo-
  13. que est bitariam. E iam punctum C non sC com-
  14. mune lineis FC, F D, FIGI, OCCUTEaEHI C ipSFC
  15. in M: Ouoniam ergo FEM aguidictac R B adeo.
  16. que AC, vE AD ad DC, SC FIL ad LM,
  17. cur C e MI, rnum idemquelune: onde C commune lincis Fi C, F. D ae quidistanti
  18. isitur FIC, BF. Ouod crac demonstrandum.
  19. rirculum ABC cuius diametri AC, BD se ad rectos decultent in
  20. LsD, contingat in B linea BF, ducta deinde per A _ C ellip(IS AF. C
  21. continsens BF in F, occurrat circulo in F, e polita ex contactu ad cen-
  22. trum recta F D dUCanEuT AF, et e A F quidem lecans BD diame.
  23. quarCMEI in L diuisa est biFariaM: Se d _ FIO, in L bitariam est diuila; punctaigi
  24. PROPOSITIO CLLLIII
  25. ircidum AB C cuius diamcte (C, BD sese ad rectos decuNanE, COn-
  26. in II, occurrens diametro AC, in C: dein ex HIponacur HI, parallela
  27. BF occurrens cllips in l, iunganturque 16.
  28. Dico lC lineam conringere elliplm in I.
  29. Demonstratio.
  30. scingat in Brecta BF, ductaque ex E recta linca F. D, de lcribatur ellipsIs
  31. AF. C, ContingeNS F F, in P: ponarur quoque F.C contingens circulum
  32. Dnaeur La aequidulcans LD, Cu IIla O.
  33. dinacim posira ad diametrum AC, cum AC,
  34. DF diamCtEI SnE COnIugaTE: CX R vero cri-
  35. SaCUE KHI, Parallela BD, ocCurreNS FI li.
  36. nex in FI. Juoniam tam IIK, BD, quam IR.
  37. dracum HR: led requadracum L D ad qua
  38. dracum TR, sC AD C rectanoulum ad re-
  39. etangulum AR C. reigitur rectagulum ADC
  40. adrectangulum ARC. HC BD Guadrarum ad quadratum FIK. Ouare punctum H
  41. in peripheria circuli est: isitur cum ITK sic normalis _ FTC contingens, ve GC
  42. ad CR, SiC CR ad AK: est aurem TK ad diamerrum AC, ordinatim poltA; et.
  43. veattia 30 Clb linca est Cansens. Guod erat detohlitatiaum.
  44. F. D aequidistane, eric ve quadeacum F D ad
  45. quadratum TR, SC BD quadratum ad qua-
  46. D. BH1115.
  47. t . s . u es . e i s e t a e 1. u e i pe. 1u .1e t. 1 1 . 1u. 1u. . 1 p 1t e . 1 1. 16 1. u

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 334. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0391?run=74