Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 91

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.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. L RC F.
  2. XI:
  3. R. FZ; erie spatium A D L. K aequale rectangulo Cx R, B DB.
  4. Nam (IE P) EI == R, e compleatur rectangulum BDHI; cum
  5. aumPTA M N indefinite ParVZ CUrVX A B parricula dueantur NC 2d
  6. BD; SEMEX, HOS ad AD parallelX. FAque HO. MO::
  7. TE. FM:: R. EZ. OndCNOXFZ ==MO XR, hoc eA FC
  8. XFZ = FSx BX. ergocum omnia rectangula F C. X FZ minime
  9. differant a SPaTIOADLR; Se omnia toridem rectangula ES X F X
  10. componant rectansulum DHI LB, Cacis liquer Propolitum.
  11. ZX. Tildem positis, sIE Curra P Y O talis, ut sumpea in sumpea
  12. recta MI X ordinata F. X (respectirae) ip(i FZ aquetur, exit Cumma
  13. quadratorum ex FZ (ad rectam A D compurata) par ci quod HC ex
  14. ipCa R in spatium DB QB ducta.
  15. Fst enim BO. ES :: AO. MO:: RX FZ, FZG:: RXFY.
  16. FZ 9. ad eoque F C X FZ G = FSXR X B Y.
  17. LXI. Simili ratione summa Cuborum ex FZ aequatur ei quod Hc Cx R
  18. in summam quadrarorum ex rectis F. Y ad B D applicatis neque non (I.
  19. mili quoad reliquas poteltates tenore.
  20. ZXII. Sit curra quaeris DOR, in qua designarum punctum D;
  21. e subrensa recta DR; Sit item curra A F calis, ut a D projecta qu’a
  22. vis recta D M F (quae curvas secer punctis M, F) duetisque DS ad
  23. DMInormali, _ MS Curram DO R tangente (concurrentibus uriq;
  24. puncto 5) dataque quadam R, SItD S. 2 R:: DM9. DF q; erit
  25. sparium AD F X qualC Ex R, DR.
  26. Nam subtensa D K indefinire secta concipiatur punctis PO, _C.
  27. Per gu centro C descripri tran (eanE aECUS P M, O RN; curram
  28. DOK secanceS plnCtiS M, HI; per quae ducantur rectae DMF,
  29. DNO; SINEVerOD Tad DR; _ DS ad D M perpendiculares;
  30. quibus Occurrant ranSenteS R T, M S. demum centro D per P duca-
  31. tur arcus F X; _ per P arcus I Y. Tam, ob sectionem indetinitam,
  32. estrriangulum R P M triangulo K D T Cimile. ac ided MP. PR::
  33. TD. DR. ITEM CADP. P M :: DB. EX. Peu propter altigna-
  34. eam Causam, DK. MP :: DF. PX. FR itaGUE MPX DR. PK X
  35. MP:: TDXDE. DRX E X. HOC CA DR. PR:: TDKDE9.
  36. DR X EX XDE. AC IndE DR G XEXZDF = PRX ID X
  37. DF g. (a) FCantCMDT. 2R :: DR9. D E9; SeNDPXDFG (a) HyP
  38. == 2 R X D R g. CrGOCADRGK F Z XDF == PR X ZR XDR9.
  39. Quare F X X D F == 2 R X P R; hOC CA, 2 sCCTOFD F X =L 2R XP R.
  40. unde sectOE D E X == R X P R. Simili plano discursu sectOF D F Y
  41. rQuatuX
  42. F18. 1280

Cite

[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 91. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797435492:0319?run=74