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[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 44

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: 0.92.

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

The machine reads it as

  1. 618. 61.
  2. L F C T. V.
  3. simplicibus triplicatas substiendo rationes, est. y O. OBC YP
  4. PB. _ his aequà les rationes adjungendo est ()N. v. + r(. OBC
  5. PA. Y P i YP. PB; hoc est GN. OBL PN. P. B. compo-
  6. nendoque BN. OBE BN. PB. ergo OH - D PB. unde rursIIS
  7. liguet rectam X O iplis AB; Z P interjacere: L, F. D.
  8. ZVII. Consimili prorsus argumentatione constabit obliguio-
  9. rum incidencium retractos ultra punctum Z iplam R. N interse-
  10. CaTC.
  11. ZV ITI. Ouinimo rursus exertiis apparet nonnili binos refractos
  12. in eodem puncto convenire.
  13. ZIX. Addo cum ipsO RN concurrentes retractos circa punctum
  14. L conglomerari, praeserrim illos, qui ad partes F (obdiquius) inci-
  15. dentes perrinene.
  16. Nam accipiantur, exempli causa, sibi pares NS, ST; _ SIE BP
  17. quarta proportionalis in ratione ZB ad BN; SB quarta provorrionalis
  18. in ratione YB ad BS; _ BR itidem quarta talis in ratione Y B ad
  19. BT; _ a punctis P, O R crecta perpendiculares ipsam H R. L
  20. secent in Z, Z, CV. patet (emox octensis) omnium spario VIS
  21. incidentium retractos cum N R concurrere intra L Z; nec non omnes
  22. ipsi S T incidentium refractos intra XV cum eodem conrenire, POr-
  23. ro rectae BP, Ba, BR se habent invicem ut Cubi rectarum BH.
  24. BS, BT, (vel sunt in ipsarum BHI, BS, B T ratione triplicata: nam
  25. BF. TB:: BN cab. BY cab. e TB. BG:: Y Bcub. BScub.
  26. adeoque exx quo B P. B :: B N cub. BS cub. d consimili ratione
  27. BF. BR:: B AICuB. B Pcub.) unde faciie monstrabitur esse PO
  28. multo minorem quam OR; XelZ X quam X V (verbis parco multis
  29. in re Paris manitesta). Quare dicti retracti circa punetum Z. spissius
  30. ipsum NR decustabunt.
  31. 32. X. Ex his demim conficitur: omnibus bene LHIIIaus, Cus
  32. (0) centrum habenti in refracto NK uspiam constituro, puncti A
  33. imaginem ad ipsum conditione predicum toties incinuata punctum L
  34. contistere. Sit enim C D puxillx (in plano AB C jacens) Diameter.
  35. axi Opcico RN perpendicularis; ec per ejus extrema C, D transeane
  36. retracti IM LK ipli R N occurrentes punctis X, V. ex octensIS, patet
  37. omnium inera spatium M _ incidentium radiorum re ractos intrater-
  38. inos Z. X principulem retractum incersecare; neque non omnes ad
  39. spatium

Cite

[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 44. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797435492:0076?run=74