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. 135

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 Infinitorum.
  2. ec.) erit aporesatum rectangulorum illorum (puta
  3. V: aD = a 2: F S: bD = b2: + V3C D C2: EC.) ad 98-
  4. Sregatum horum (puca Na2 + Vb2 + vc2eC vel a + b +
  5. cec) ut unicas ad numerum intermedium, numeris
  6. diagonialibus X, 2, in Tabella PrOP, 132 IntCrDO-
  7. nendum.
  8. Seqnicur ex prxecedente. Nam scries Subsecundanorum est
  9. Serici Aqualium, _ seriei Primanorum incermedia. (ut PaCCE
  10. ex dietis prop. 64.)
  11. Scries aurem Subsecundanorum in sciptam directe pohcam
  12. (DUTaVa, Vb, NC, _C. in Va, Vb, Nc_C) eAt series Primano-
  13. rum (Duca Va=, Vb =, Vc_C vel a, b, c, _C.) cui convenic ra-
  14. eio E per proD 44, vel 64. Ec propterca, si ratio quX conre-
  15. nic Ccriei Primanorum in Cciplam invertam ductxe (intern cdia
  16. nempe rationibus : 3,) dicacur 27: Racio rationis hujus
  17. D 2d illam 2, Duca 2 ) = (,7, eric (per pi aCcd.) ca
  18. quam habet Iad nuMerUm inECE L X 2 incerponendum, in
  19. leric digonialium 1, 2, 6, 20, 70, &c. tabcIIae prop. 132. Dui
  20. numerus iritur inposterum dicarur _. EA9: Cen illis numeri incer L 8B
  21. 6 incerponendiin Cerie 1, 6, 30, 140,630, _C.
  22. PROP. CLZVIII. Corollar.
  23. T prOPterCa; Circulus ad quadratum diametri, est
  24. ut 1 ada, numerum nempe inter L e 2 interponen-
  25. dum in serre diasonalium 2, 2, 6, 20, 70, 9 c. Tabella
  26. prOp. 132.
  27. Cumenim (Per PTOD. 233, 735.) Semicireulus ad Oua
  28. dracum diamecri (ic uF L ad 2 C Cnumerum incerm edina inccP
  29. L_ 6 in Terie 1, 6, 30, 240, 630, 8c.) crie circulur (quipue
  30. Temicirculi duplus) de T ac a, (numerum incermedium incer
  31. 2_ 2 in Ccrie 1, 2, 6, 201071, _C.) per Praccd,
  32. Ex quidem eadem racio ; c2 eAt, quae incermedia ponencta
  33. CRincer Z _ 3, in serie 1. 53 15, 155_C. PrOP. 118, & 1+ L. UE
  34. _ deinccps cciam ulcerius faCCDICo
  35. P. 168.
  36. dC 1 lo

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 135. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0347?run=74