Leibniz Legible

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De Locis Solidis Secunda Divinatio Geometrica, fol. 31

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. OADIATARVM POTENEIVM LIUT. LI. II.
  2. Ouoniam enim quadratum CD duplum
  3. est quadrari C A C ex constructione) vel
  4. rectanguli A C B, idem quadratum C Y
  5. duobus rectangulis A C B aequale exic. FC
  6. quum quadratum C. D ad E F sIC 2 VErC-
  7. ctangulium ACB 3d AF B, vel ve duo
  8. Tiul A C B ad duo simuI AF B, sique
  9. permutando quadearum C D aequale
  10. oltensum duobus rectansulis ACB, exie
  11. de quadratum EF aequale duobus simul AFB, sed disterentia inter quadra-
  12. tun data AB, C quadeata simul partium AC, CB aequatur duplo rectanguli
  13. ACB, ergo ipla ditterentia, et quadraro C D aequalis eric. Similiter dif-
  14. Ferentia incer Quadratum AB, _E QuadTaEA SIMUI PaTEiIM A E, E B XGUATIE
  15. duplo rectanguli AF. B, ergo eadem disserentia, de quadrato P. F. xqualis
  16. exit. Ouare ordinatae CD, F F, de alix huiulmodi porsune praedictas dit-
  17. terencias; ac propcerea concauum deleriprae Flliplis est Locus propOlI
  18. Ordinationis. Ouod etat eec.
  19. P R OPOSITIO ZZMNVU.
  20. Ocus Ordinatarum potentium differentiam inter qua
  21. a dratum datae, (5 summam quadratorum additae, (9
  22. superaddita, est ad concauum Ayperbolae, cuius cen-
  23. erum sit punctum bisecans datam; anis addita, (5
  24. vertex occursus datae cum addita, semiaxis transuer-
  25. sus dimidium datae, semirectum vero ipsa data.
  26. PTT data AB, de superaddita quaelibet A C, adeoque addita BC; ee
  27. 1 secra A B bitariam in D, CuM CenErO D, Seminxe trantuersO D B,
  28. lemirecto rero aequali ipsI AB Rac FIy perbola BF. DicO HanC CNC Locum
  29. propolum: Nimirum ordinatam C L porte disterentiam inter quadratum
  30. datae AB, _ summam quadratorum A C, C B superadditae, de addica.
  31. Nam quadeatum A C cum quadrato
  32. C B. aequatur duobus rectangulis AC B
  33. cum quadrato AB, Per 7. SCC. FlCM. ex
  34. 30 difterentia inter quadracum A B, de
  35. duo Siul quadrata A C, CB aGUatUE
  36. duobus simul rectangulis AC B, sed duo
  37. AC B aequalia lunE quadratO C F C guIIm
  38. Policus sic cransuersus axis, AB subduplus
  39. THO reCtO, dC Propterea recrangulum.
  40. ACB dimidium quadrati C F) ergo de quadratum C F aequiualet praedi-
  41. eta difterencix inter quadratum darx AB, de quadrata simul additxe, e
  42. Superaddisae B C, A C: & hoc de quacunque alia simili ordinata dc.
  43. Mmate
  44. Eoi priai

Cite

De Locis Solidis Secunda Divinatio Geometrica, fol. 31. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/898203430:0223?run=74