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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1213

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. QV AD R ATV HA H Y PF RBOL H.
  2. PR OP OSIT. 1,OCA XAFII.
  3. Tonsruantur aaocemata, unum quod circulari eplindro Tubseruiae
  4. arcerum; quod cylindro hyperbolico. Consructionoro veriulque
  5. hocpacto Aac. lrio alx aequales parabola constiruanvur ubalcerne po
  6. sice ad communeutaxem, in alcero vero loco parabolarum lubalcerne po-
  7. licarum anr pacabolx parallela incer se licur libro de parabola dictum
  8. cA. Cincq; illa palabolx in veroque secmace ABC, DF F, quarum axis
  9. communis M HD. Deindearibus aequidistances ponaneur CG, III, guX
  10. ab axibus distene ae quali inreruallo. RANEPEXTerCa GSI, R II ordinarim ad
  11. AXEM AD _e duCanEUE A C, D T constituences xquales angulos cumaxe
  12. AD. Denique construancur parabolae D NS, AL. C quarum verrices sInE
  13. AeD; e contingant axem in ijldeni punctis.
  14. Dicorectangula L. MIN, OM P; IEM HI essc in concinua proportione
  15. in veroque scemate.
  16. Demonstratio.
  17. DScenTum enimA L NE, ONE RN, itEM MPY, ML P, ME esse proporrionales li- numm
  18. ness. lssicur per demonstrata libro de prosressionibus propolcione s8. eciam re-
  19. ctangula L. M N, OMP, RMFI proportionalia lUNE.
  20. PROPOSITIO CXXXIV.
  21. TIdemmanentibus:
  22. Dicorectangula OMIP, BM O, KMHI esse proporcionalia.
  23. Demonstratio.
  24. DEmonucuimus proxositione 29. de quadracura circuli hanc iplam proposicio-
  25. 22.
  26. nemsled praecedeneous suoue immediatis b ostenlum eAt linCaSOM, BNI, R NI, b123. Bu-
  27. a ME, MO. M ET proportionales elle in scemacchyperbolico. Igitur per ca guxe si- ius
  28. bro de progressionibus lune demonsteacac etiam rectangula OM P, BMO, RMFY CProp. 58.
  29. proporcionalia lunE.
  30. eROPOSITIO CXZAV
  31. IIdem denuo manencibus:
  32. esse inccLeproporrionaa, veretiam Cune parallelepipeda, super rectan-
  33. gulis e L, M, L, dM, RI. Tub eadem alcicudine rectae MR.
  34. Demonstrata.
  35. Dicoparallelepipeda cua lapet oisclato LIr, l3, M,
  36. R T _ KMI, RI conttruuncur habentia communem alcicudinem MR,
  37. roniam demonstrarum iam dest L. MI, OA RMI, de rectaS R S, R F, R F PTO- APCTILI.
  38. ex L H InRS, OM in RI ec RM, in RI. lunc aucem parallelepipedacommu-
  39. Lporrionales esse. Poitur eriam rectangula proportionalia Cune quae constrnuncur huius.
  40. nem habencia alcicudinem inter le rebales. Quare cum bales perhibeantur propor:
  41. cionales, etiam parallelepipeda proporoan , Suotum illa bales lunc. Lodem
  42. modooltendicur parallelepipeaadea alestectanguaMil L,DM, LER. d
  43. RL a Comm R proporcionalia esse, constac iraque veri-
  44. hasplopdacionis.
  45. Sa t p e 1. e . e t 1 t p e p . tu t t t t i

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1213. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:1270?run=74