Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Qua Continentur, Oratio Inauguralis. Mathesis Universalis; sive, Arithmeticum opus Integrum, tum Numerosam Arithmeticam tum Speciosam complectens. Adversus Meibomii, de Proportionibus Dialogum, Tractatus Elencticus, fol. 143

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. C: RP, 20.
  2. De Mulliplicatione.
  3. lea fgurae finalis absciltione linea Separatrice, num esus decu-
  4. plominuicur; decrula nempe fieura qualibet in locum proxime
  5. interiore, uc quae prius decades Teniticabat, jam honificer unica
  6. res, _ sic de reliquis. Puca, Anumero 35 adjiciatur ciphra, Fet
  7. 350 decuplo major; sin ab eodem 35 abscindatur linc a scpara-
  8. erice fgura ulcima, exit 35 decupio minor. Fc Smilicer jur
  9. dicandum eric ubi duxe, cres, auc plures adjiciuntur ciphrae, aue
  10. cocidem ab Ccindantur loci decimales; DCMIDE nuMErIS cemIU
  11. plo, millecuplo, sca adjectione nugetur, vel ablacione minuie
  12. cur. Adcog; in exlemplopropolico cum 365(25 Tic cencuplo
  13. minor quam 36525, eric etiam 365(25 x 35 cencuplo minor
  14. quam 36525X35; cumq; eciam 35 tir decuplo minor quam
  15. 35, Crit 365(25X 35 decuplominor quam 365(25 X35, adeo-
  16. que decies. centuplo, hoc cA millecuplo, minor quam 36525 X
  17. 85. Cum igicur AC 1278375 = 36525X 25, ablcindende
  18. Cunc linc a Cexaratrice cres ulcimae feura uc numerus tiat mil-
  19. lecuplo minor, nempe 1278,375 =-365(25 + 3(5; ade09; f-
  20. pura 8 quae prius signiticabac eoc millia, jam signiticat non nit
  21. cocidem Unitaces, e sic de reliquis.
  22. Acq; haec eriam sufficiane de partibus decimalibus mulcipli-
  23. candis.
  24. Tandem e hanc libet (cx Oupheredo) regulam generalem
  25. factis locos, live in numeris incceris, sive eciam partibus deci numeri factos
  26. malibus, dirisat. Cum (uos cuigi loco indices altignavimus,
  27. ita nempe ut Clnicatis locus indicem habeat o (ut quinequ al
  28. Ecendic neq. descendic) loci aurem lupra illum asscendences
  29. primus, sccundus, certius, _c. indices habeane aftirmaciros,
  30. 2, 293, _c. _ contra loci deCcendences primus, secundus, ter-
  31. tius, _C. indices habeant negatIrOS = L, L 2, = 3, _C. In.
  32. dex cujusque Parricularis Pacti in multiplicatione, aequatur indicibus u
  33. eriusque Pactoris simul sumpris. Exlempligratia, si mulciplicandus
  34. st numerus 32I in 5Pa. Mulciplico primum a in F (quo
  35. rum indices 2 8 1) e CaCtus CA 4 (= FX 4) ponendus
  36. loco certio descendence, cujus indes cA = 3, 2 qualis duobus
  37. in 8_ mo x. TUm 4 X 2 (quorum indices 2 80) FactuS est 8,
  38. loco secundo delcendenre ponendus, cujus index = 2 = 2 +0.
  39. Tum 4X 3 (quorum indices 2 e F x) Faecus cA +2, ponendus
  40. (nempe quoad ulcimam iplius Fcuram 2) loco descendence pri
  41. ne

Cite

Qua Continentur, Oratio Inauguralis. Mathesis Universalis; sive, Arithmeticum opus Integrum, tum Numerosam Arithmeticam tum Speciosam complectens. Adversus Meibomii, de Proportionibus Dialogum, Tractatus Elencticus, fol. 143. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/826603459:0189?run=74