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Leibniz-Handschriften zur Mathematik LH 35, 15, 5, fol. 36r

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: 0.91.

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. 37v); this page is its right half.

The machine reads it as

  1. anter h floraa apros p. Rocharski) abifrabus caso ex Hons p. 3, D 1692
  2. Stobl. Extancre in tertudine (Gattice Dome) pferte hemdsphaerica . fenremas
  3. aequales, tali configaraive, ut his detractis, supstes curva tertudinis supfiries
  4. geometrice possit quadrari, ie abique supposita circuli quadratura.
  5. se
  6. solutro:) On Fig. 1. Circulus BEDF rpraesentet hemdalaram,
  7. centrum A iprius potum, namitri ppindus 9D, EF, duos semicir culos norma-
  8. liteo se decnstantes in polo A, et su dividentes hemisphaeram n q portiones a
  9. quales, in quarum ingulis deseritat curra AAF propritate talis, ut traje-
  10. eto libere quadrante AHM, pars MH sit aequalis arcur MF. uo supfirco
  11. em contentam quadrante At et curva AdF etse unam ea fenettis quaer
  12. sitio, ita ut his detractis reliqua supticies sumisphaica tet dupla quadrati.
  13. inscripti m iphus bate
  14. Demonitr. Fig. e repraesentat basem hemisphiora, super cujus cntinm
  15. C, potus A ppendicularitor incumbit.
  16. Fig. 1. 2.). Sumpto utcunque in circumfeuentia bateos, arcu MN indefi-
  17. nite parve, ducantur quadrantes AAM, ALN, sinus recti MP, NQ, arcu
  18. Mo HG cujus potus A, rectulae Ma oi, perallebe CF, ppend K in chordam
  19. BF, ac tandem gangantur es, C0. Gropter similia tuangula M XR, CMP
  20. et OSt, CFK, arcs MN (quint recta consdorat,, ob indefinitam parvu
  21. tatem) ert ad Ma ut CM ad MP; et Os ad Or, ut et ad Ck. Ergo rctanu-
  22. MN in M8 est aequale rrtang. CM in MX, vel CF n Oi, quod aequatur
  23. rectang. Ck in 50. Atqui notum est ex Archimede, portiunculam honae GHMN
  24. aequalem etre sinui uito arcus HM vel MF, id est M8 ducto marcum M N,
  25. et ex Euclide rectorg. Cx in so duplum etec trianguli CS0; immu hoc utique
  26. contingat, segtr ex methodo indivisidilium, tumam omnium portinacularum onae
  27. GHMN, quae complent spatium semisphaericum AB MF HA duplam ette suma
  28. omnium triangulorum C30, qui complent tiranguluv estF. 2. E. f.
  29. Alia solutio:
  30. Fiy. 3. 4.) Describatur m Octante AB hemisphaerica tusficier, curva
  31. AAB proprictato talis, ut libori trajecto quadraneo AAM pars Mst sit a qualis
  32. arcui FV, cujus sinus rectus Vk sit tertia proportionalis ad mediam partem
  33. radi CMM et sinum rectum MP; similiter describat in Oetante A) F curva
  34. AHF. Dico spatium AHRTFHA ette unam e 4. finertus quaesitis.
  35. Demonstrarem hu omitto pp spus angurtiam.

Cite

Leibniz-Handschriften zur Mathematik LH 35, 15, 5, fol. 36r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068207:0069?run=74