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De Locis Solidis Secunda Divinatio Geometrica, fol. 115

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. 11
  2. ADDEHDA LIBRO I
  3. Ad pa5. Gl. Pos n L1s. 37. adde quae
  4. numbut setotia.
  5. CHOL HV
  6. ls
  7. sulo lub mecia arichmerica, e media harmonica inter Catucus
  8. sicque idem rectangulum sub exrremis daris aequale quadrato mecia
  9. seometrica inter caldem datas; erit etiam quadrarum medix seo-
  10. metricx incer exrremas dacas aequale rectangulo sub media arict.
  11. metica, ee media harmoniea incer caldem.:
  12. Eu. Ouum sic rectangulum tub exrremis daris aeguan rectan.
  13. dbOL 1VA
  14. BB; eric duplum rectanguli lub extremis AB, BC, aequale dupla
  15. rectansuli sub media arichmerica BD, in mediam harmonicaru BF;
  16. hoc est, erit aequale unico rectangulo sub lumma exrremarum AB.
  17. BC (quae est dupla medix arichmnerica BD) in iplam mediam hur-
  18. monicam BF..
  19. Tidem. Ooum rectangulum sab extremis daris AB, BC tic xqu2.
  20. le rectangulo sub media arichmerica BD in mediam harmonicam
  21. CH OLIVM, III.
  22. Anllem. C caplum rectanguli lub exrremis datis masnitu.
  23. sub Cumma dacarum in meclam honicam incer datas; hie carim
  24. habemus demonstrarionem sequeneis Canonis, per quem expedice
  25. repeTiri queEnumerus, qui sic medius haeniomieus incer auos quol.
  26. cumque dacos. Oui calis est, nimirum.
  27. Duplum prodiels cacoram Bonictorum dividatur per Cummam ip.
  28. lorum, ee quoriens erit quaelitus medius harmonicus; nemperatio in-
  29. ter daros primum, ex cerrium erie eadem ac rario diferentix inFCF
  30. primum dacum, ee medium inventum ad differentiam incer medium
  31. inventum, ec cerrium dacum, ut apparet proximo exemplo.
  32. Propolitum siC inter numerOs datoS 17, ee 5 invenire medium
  33. harmonicum.
  34. ipsi dari 17, ec s mulcipliceneur simul, _ Het 85, qui duplico.
  35. tur, et hec 170, qui dividatur per dacorum lummam, quae elt 22,
  36. de quociens est7, qui demum erie medius quaesicus inter datos
  37. 17, _ 5
  38. dinibus sic aequale, uti nuper oltensum est, unico rectangulo
  39. Nam

Cite

De Locis Solidis Secunda Divinatio Geometrica, fol. 115. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/898203430:0307?run=74