Leibniz Legible

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De Locis Solidis Secunda Divinatio Geometrica, fol. 11

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: 0.90.

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

The machine reads it as

  1. VEL LIMIT, ORDINATIONVM COMIC. LIB, L.
  2. PR OPO5ILIO M
  3. fuerint duae Flyperbolae per aidersos vertices simul ad
  4. Scripiae, quarum transversa latera eundem supremum
  5. terminum babeant, recta autem latera sint aequalia inter
  6. se. Rectancula sub inteerantibus partibus ordinatarum
  7. sunt inter se et quadrata sermentorum communis diame-
  8. tri (ad quam ordinatae applicantur) inter ordinatas, (5)
  9. praedictum terminum interceptorum.
  10. NNIMEFyperbOla ABC, D E F per divertosvertices B, L. simul adscrivta
  11. D ad communem diametrum BF. M, X exteriOriS ABC, sit tranlversIU
  12. lacus C B, incerioris rero sit C. F. _ Carum recta lacera BFF, F L ordinarim
  13. applicata, aequalia (InE
  14. inter sc. Dico, (1ad didu
  15. MetrUm P M ordinatxe
  16. TIIE QUOECUNqUC AC,
  17. VHyperbolas, de dia
  18. metrum secantes altera
  19. in A, D, F, C, MI, alterL
  20. vero in C R, T, V, Si
  21. rectansulum A D C ad
  22. ORV esse ve quadratum
  23. GM ad 65.
  24. Tunsatur regulatrices,
  25. CF, CF ee quantumlibet producantur ordinatis occirrences in O, K, X in
  26. X,Z; PF. veroverinque producatur rsque ad FIyperbolam AB C in N, L, 8
  27. ad regulatricem CHI in Y, iungaturque FI B, quae (ob aequalitatem, de aequi-
  28. dictanciam rectorum lacerum BHI. F. L) ipli B F aequidictabics sicque OP ei
  29. dem BF parallela.
  30. Tam, quun sIE GE ad F Y vE HT adt IV, ericrectangulum sub C F in LY
  31. aequale rectaonlo (ub FY, in FIT, vel in BE, hoc est quadrato: lemiordinate KN
  32. in Hyperbola ABC (ob resulatricem C7 Y) sive rectangulo NEL.
  33. Trem quu sIE CTM adMK ve PO ad OK erie rectangulum sUb C M in O
  34. R aequale rectangulo suB MK in O P, Sed hOC, per Lemma prCCedeHS, X qua
  35. cur ditterentix rectangulorum BM IE, F M O, hoc est ditterentia quadrato.
  36. rum semiordinaEACIm AMI, DM ipsis rectanoulis aequalium, verum que veri-
  37. que (ob regulatrices CK, CO) quae quadratorum difterentiz est rectandu-
  38. Ium ADC, ergo e rectangulum sub GM in O K aequale eAt rectansulo A
  39. DCi eademque ratione octendetur rectansulum sub C7S in XZ aequale re-
  40. ctangulo ORV: rectangula igitII NE L, ADC, ORV Puncincer seveip
  41. Sis aequalia reccanonl2 sub C F in PY, sUD GM in OK, sub CS in XZ; Ced
  42. lateTA GFE, OM, GS proportionalia sune laceribus I Y, O K, X Z, ideo
  43. que exiis rectansula Tunt in ratione laterum duplicata, hoc est ve quan
  44. drata

Cite

De Locis Solidis Secunda Divinatio Geometrica, fol. 11. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/898203430:0039?run=74