Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

De Locis Solidis Secunda Divinatio Geometrica, fol. 74

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: 0.88.

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

The machine reads it as

  1. INCENTHI VIVTAMI DE LOCIS SOLIDIS
  2. diameter FB, qua produera normali PP Occurrat in P, quod in terria.
  3. Figura penatur, vel cadese CAa CIrCulum, vel inEra; acque ex F, ad
  4. veranque Parrem eais, Oinetur secta INF Sectiones oppolitas se.
  5. cans in L, N. DIOCLMI L.L Requalem esse legmento diametri FB,
  6. E ordinatI PIN, LCMHCHCO FHI aequalem esse.
  7. 21. Primi rectangulum A agua Guctito BI, ob Ayperbolam a aquilaterann
  8. vel quadrato sibi oppolitx C F in parallelogrammo D F, vel rectanculo
  9. YIFB, Ob sCCanteM FHI, _ tansentem F F, sed diserencixe laterUM AD,
  10. DC, _ HF, FB, nempe AC, HLB sunc aequales C nam sune ciuldem
  11. Metro ab A verSUS CeNErUM C reCta AL dupla, quae biseCCtIE In MI, ita
  12. ve veraque iplarum MIL., M A ipsi perpendiculari C F aequalis SIC; de Cen
  13. tro MI, LemiaxibuS verO ML, M A, Hant per vertices L, A. Sectiones op.
  14. Dositx aequilatera L. I, A N, _ per cenrum C ducta sic quaelibet
  15. Pet L. N ordinentur ad Sectionum axC S L. seCL L . qua s
  16. E F aequidistabune, abrendeneque ex axibus aequalia sesmenta L D, AO.
  17. Jam, in prima Reura, Qua puncta C, L, L in VnUIM COCHHE, est
  18. Circum diametri) erso de latus C. D, lue sibi oppositum F P, laceri FB
  19. vel OCD. sine rectangulo NII e las ll egue CHt laceri LB, ve nu
  20. per octendimus, et80 de lalus LI lateri LiH aequale eric.
  21. In reneus rero treuris. quum sic ML aequalis ipiCt, ex construction
  22. ne, dempea communi M F in secunda; de in cerria Roura addita, vel
  23. dempta communi CL, remanet in veraque F. L. aequalis GM, Sed in se-
  24. Cunda L. MI aQUatuE M A. ex constructione, _ F L RGUATIE CAMI, ex HU
  25. per octensis, ergo reliqua FM, reliquae C A, seu O C aequalis erit, e
  26. deIPEA COIMUNI MIC, FCIAneE F C aequalis MC, sive aegualis FL. In
  27. certia vero Roura est AM aequalis CF ex constructione, de addita commu-
  28. ni GM, erit radius C A, Sue radius G C aequalis ipAI MIE, de dempta
  29. communi CF remanet F C aequalis MC, siuc aequalis l. P.
  30. Praeterca, in secunda, d terria fioura est quadratum CF aequale quadra
  31. eis simul CB, F F, vel Chis cum aequalibus permutatis) quadratis simul
  32. M L, D I, vel quadrato MI T. cum rectangulo AD L ipsi quadrato DL
  33. aequate, ob Hyperbolam xquilateram, sed quadratum M L. cum rectan
  34. sulo
  35. aequale est: sed rectangulum FL D ae OHCHum esE reCtanouto ADC,
  36. On1bo

Cite

De Locis Solidis Secunda Divinatio Geometrica, fol. 74. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/898203430:0266?run=74