Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

De Locis Solidis Secunda Divinatio Geometrica, fol. 59

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. YARIAR: DISPOSTLIONVM LIMII. LB.
  2. Tuneris ctenim diagonalibus, seu ra-
  3. dijo AB, AFI, quorumlibet horum qua
  4. deata bis lumpta aequantur aegreearis
  5. quadracorum lacerum omnium (quum
  6. quadratum AF xquale sE duobuS AF.
  7. FF, _E ider A F duobus AD, DF
  8. _C.) Sed ipsa quadeata AF, A FT sUNE
  9. aequalia, ergo de asgresata quadrato-
  10. rum lacerum eorundem rectangulorum
  11. Lune aequalia. Ouod erat dcc.
  12. Elinc Locus, quem atcineune aguli expositorum rectangulorum commu-
  13. ni angulo oppolici, est Locus planus qualis proposicus tuerat.
  14. R O. F L.
  15. PLiCItUE ex hac Locum, quem accinsune, anguli triangulorum rectangu
  16. lorum, qualia sunE AFF, ATHI; aequales bales habencium, et quo-
  17. rUI LaTCTA AI, AF sibi mutuo congruane, acque ad idem punctum a sine
  18. compolica, quorumque omnium asgresata quadratorum laterum sInE X
  19. qualia, esse ad quadeantis Circuli peripheriam.
  20. C
  21. l
  22. Ollisitur praeterea in parallelosrammis rectangulis, quorum agere-
  23. eata quacratorum laterum sinc aequalia, maximum esse quadracum.
  24. quale concipiatur eNe AD F F. quod quadranti A B C insCrIpEUM, IMaZI
  25. inum est singulorum inseriptibilium, quippe quod recta peripheria con-
  26. tinsens ad L, VE pUTA LM, bifariam secetur in F, de parallelogrammum
  27. ADE, hoc est quadratum A F. sic rectangulorum maximum ipsi criangu.
  28. 10 inseripcibilium, adeoque mulco maius quocunque rectangulo cidem, qua-
  29. dcapi mleripcibili.
  30. 2 +
  31. Olligitur demum in triangulis rectangulis super aequales batess de
  32. Gu autaca Gue Laceru aequalia sine, videlicer A
  33. FF; ATH, maximum esse aequICTUTe AF F, quum eadem sic ratio intet
  34. dimicias al es la.

Cite

De Locis Solidis Secunda Divinatio Geometrica, fol. 59. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/898203430:0251?run=74