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Leibniz-Handschriften zur Mathematik LH 35, 15, 3, fol. 13v

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: 0.78.

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

One image of two folio pages side by side, registered by the library under both labels (also fol. 12r); this page is its left half.

The machine reads it as

  1. Cuod autam jam in parliculari demonctrari de porti cula ne gd necestano aequats por
  2. e
  3. finita NR hoc idem de omnibus particulia indifinite porvaae lurvae oupi demonctrats decom
  4. segune onei Necestorio ao eodem limna erit quam ONeI hoc E (aim ONFD
  5. erit evoluta e hypothesin ougi euoluto eit recigroca e conctructionem Ciae afgtri BEB
  6. Cudivar
  7. s
  8. Si, rodiis solie SH incidant in quamcunus cunvan i AFE sine rit
  9. Geometrica, Mactanico aut libera mnus ducto; sic reflartum
  10. es ut horum intersectionae eimnam efficiant BRE; Diro gd iodius in
  11. cidens 8H d reflexus HR dimul mmphe oguantes cimvre portioni RE
  12. guae intercigits inter punctum danigontia Red punctum 2 contactus
  13. Dem:
  14. Solis enim Rudis incidentaae sit (qui porallali concigiunts ab omnibus Mathamodicium)
  15. t
  16. de dj
  17. et refcex. HR efficiun anguloi aegualas SH ed LHR (grout ex diophicis notum) nondi
  18. enur autem reflactoxorum intersectionas efficiunt (jupta: 6axio:) Cuavam BRE qua
  19. ubiu tangits a reflexiae rndjs; HRF in R; hinc ideo enuva hac (juxto 2: proposi) evolum
  20. ta arit enuivae AHE in qua (juxta vaxio) RHdHR aeguants cura portioni AE, Et
  21. d.
  22. Conrolarium
  23. c
  24. hinc integra Cuava BAE ex reflexorum rodionum intersectionibus determinata aequo
  25. sii eut (jupta a ax.) rectio est o A.
  26. e
  27. Propositio ata Rroblani
  28. Exhibet Mathodum Generalem qua rationa Dato lumua Crecua
  29. HGFE modo natina ejus aegnatione aligua posiit expium (sive limva
  30. vumr portionae ingradiants velubi in Mechanicie vic dictia siva non)
  31. omnia ejus uncta respiciente, hinc semus determinari poscit avcoluta
  32. XIE
  33. cd
  34. mo:Solutio
  35. sint duae incidentas quae cunus rectae DF deqs reflexi FI DGi in certo puncto concimient
  36. 1data iloque aeqnatione quae liuvae HGFE naturam exrinrit a dictantia et meval
  37. sano semo cum punctum i determinatum aegnatio invenits quoe indeterminatus AB
  38. c
  39. BI d dictantiam CD includeti; in itoqus in hoc aegnatione CD aegualia ponals nihilo et
  40. omnas termini ideo e eandem multiplicati arferants obtinebits aequatio in qua
  41. rectanum ASV BI relatio adiivicam exglicabiis hoc e lojus determinabits omnium in
  42. terfactionem l qua vic a duobus reglexie, in definite porvo nitrr vallo dictantibus fiunt
  43. A consequan Cuuivae KIE natuma data scu detenminata ait E. duvendardem:
  44. Corro Prov. ota Probl: larium
  45. hinc data cunva Geometrica HGFC inveniets quoque luova Geometica
  46. po evoluta KIC quae ad proinde tam integra quam quo ad omne
  47. portas erit Mensumabilie f3d + axio:
  48. Propos. sta: Proble:
  49. e
  50. AiKco
  51. e
  52. Dato qua drante circuli smmiia evolutam OHG seu curnam ota
  53. determinure quae in Sgeclia Spharicie rs conoburentibus fon
  54. m ab intersectionibus reflaexonum rodiorum holis
  55. Solutio

Cite

Leibniz-Handschriften zur Mathematik LH 35, 15, 3, fol. 13v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068205:0044?run=74