Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 142

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: 0.88.

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The machine reads it as

  1. arithmetica insnitorum.
  2. PROP. CLXXVI.
  3. Lemma.
  4. DEopolicum Atinquirere quam habeant rationem
  5. numeri Pyramidales, ad lacus cuum.
  6. Liceret _ hanc propolicionem pari procressu inrestigare, quo
  7. in prop. 17 L ulis lum: (ob Cerraco incerim difcrimine quo dif-
  8. Fere debica numeri pyramidalis dispolitio a dilpolicione nume.
  9. i Triangularis:) quod qui rolec experiri porerit. Verum cum
  10. non ila Facilo elsec lectori concipere debicum punctorum sicum
  11. in poramide (uc quae non omnia lupponenda sune in eodem
  12. plano) ee angulorum Colidorum ad ca puncta poticionem: (9-
  13. eius ridecur illad hac quae sequitur mechodo praettare. (Oux
  14. quidem, nisi mallem ucrumqu: modum octendisse, adhiberi pon
  15. uillet eriam ad proD. 171.
  16. F NumeruS egramidaliS RQUACUX AECTESATO nuMerOrUM
  17. criangularium (uc pacec ex dictis ad prop. 230. _ 132.) nem-
  18. De ab unicate ad numerum Priangularem sibi collaceralem in-
  19. clutire. (hene _e numeri Priongulares tiune aggresarione La-
  20. ceralium; e Lacerales, Monadicorum; uc de lriansulipreami-
  21. dales, Pyramidalium; d sc deinceps.)
  22. 2. Ek aurem laceris l, numerus quilibet Trianeularis
  23. 2 DET PrOD. 171.
  24. 30 Ergo, Tumpeis lateribus 1, 2, 304,
  25. C; rel (coru loc0) a, b, Codu dec; Cumma
  26. horum a = + 2, B: FB, c 2 + c, d2 + d, _C.
  27. eric duplum agcresaci Triangularium;
  28. quorum numerus erie aequalis laceri maxi-
  29. mi:) de hujus propcerea lemistis, crie nume-
  30. aC
  31. rus Pyramidalis, cujus lacus squatur lace. Num. Pyramid.
  32. rimaximi Triangularium.
  33. 4. ER ixicur numerus Pyramida lis Cemistis agereBaciduarum
  34. lerierum; cousq; ab unicate concinvacarum, donce numerus lon
  35. corum ae querur laceri numeri Pyramidalis quaelici, quod lup.
  36. Donacur l: Ouibus h praexonacur locus alcer 0 +O, CuE leri-
  37. es incellixantur ab oinchoacx, sics harum nuerus lFT. PC
  38. ucriusq.
  39. PrOP 176
  40. +
  41. +c

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 142. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0354?run=74