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. 351

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: 0.89.

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The machine reads it as

  1. De Recula Aurea.
  2. quarcum, cum decundo in cerrium, s utrobique idem pro
  3. ducum emergat, indicio cA rem probe peractam cAe. (Puta
  4. Ei proposicis 3. 5:: 9. Q. prodeac quartuis = 15. Facto cx
  5. amine, reperietur 3 n 15 (=- 45) = - 5 n 9. adcogue 3. 5:3
  6. 9. 25. Proporcionaleselle, acque opcracionem recte institu
  7. Cam.) Nam (i, quacuor cerminorum, Factum ex mediis aequerur
  8. facto ab excremis, lunc illi guatuor termini proporcionaless
  9. Cujus Demonstracio luperius aliguories adducta cH.
  10. Vel sc. Si terminus quarcus, modo invencus, jam Hat primmue,
  11. acq: operacio inverle insticuacur: Nempe uc qui quarius erac ad
  12. cerciu, ita qui sccundus erat, ad quaesicus Factaq; opcracione pro-
  13. deac qui tuerar primus, recte procestic operacio; sin minus. ali-
  14. cubierracum est. Puca, AI uE PriUS, exPOFICIS 3. 53:9. Q, de
  15. prodeacguartus 9 =- 45. adcogue 3. 5 :: 9. 45. Examen
  16. instiruo invercendo proportionem 45. 9:: 5. . CNam 1
  17. quancicaces sinc proporcionaler, erune e inverle provortiona
  18. les; ut fupra ostensum eAt. )Ec quoniam, c Facta operacione, pro-
  19. dic quaelicus ( = -3. C qui prius tuerac rerminus primus,
  20. jam auem quartus,) parec operacionem recte peractam esse.
  21. Sed aliis hujulmodi muleis modis insticui potcst hoc examen:
  22. Nec tamen canri est uc: plures recenseam.
  23. Aeque hactenus de Aurea Regula quae dicitur Directa, dietum
  24. eAto. De Reeula inversa dicetur C’ apite leguente.
  25. BAP. 37.
  26. AD. XZ a =L1.
  27. Se Aurea Repula reciproca. Luidem a Directa, discrimen. Praxis. e
  28. Demonstratio. Quaestiones per hanc reculam solvendae. De operationum
  29. compendiis eprobationibus. Reductio hujus adreeulam Dire
  30. Et am.
  31. Recula an
  32. Vrea quae dlcitue sccenta inverta, live Reciproca, et ubi: rea Tnversa-
  33. LLexposiris tribus quantitaribus quaerituriguaria reciproce proporiio-
  34. nalis.
  35. Gnomode a
  36. Distert aucem a Regula Directa, quam Prxccdence capile eetus
  37. L X
  38. poluimnssert.

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. 351. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/826603459:0397?run=74