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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1127

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.

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The machine reads it as

  1. QV ADRAFYRA CIRCYEI
  2. eROPOSITIO XLV.
  3. DOnantur super A B duo quadrata ABC, B AD, quibusinscripex due
  4. R semiparabola AC C, BITD Situ Cubalterno circa communem axem
  5. AB, e super A B diamerro Temicirculus describatur AF B.
  6. Dico corpus quod producir parabola AC C dueta in parabola BHID,
  7. aequari Lemicy lindro cuius balis est semicirculus A E. B, alrirudo AB.
  8. DEmonstrationem dedimus libro de ductuplani in planum propolicione 143. illic
  9. enim octensum est parabolas subalcerne policas, quarum communis axis est X
  10. qualislaceri recto axeos producere solidum aeguale semicrlindro cuius basis eAtse-
  11. nicirculus axe eanquam diamerro descriptus, alticudo vero iple axis; sed parabola-
  12. rum AOC, BFFD quadracis inscripearum axis AB x quatur laceri recto aXc05,
  13. aquod ordinarim pOSEa A D Sc aqualis ipR A. B. ergo solidum quod produCIEUE CK a 9. Parab.
  14. ductumuruo parabolarum ACC, BITD aequacur Cemicrlindro super semicirculo
  15. AF B in alcicudinc AB.
  16. Verum cum hoc cheoremasieonum ex primariis huius operis, proximeque in AuaF
  17. in circuli quadracuram: sic aurem demonstracio propolic. 1 a3. libri ductuum allaca
  18. Forcasse srictior quam ve omnibus Pacistaciae: pleniorem huius vericaris demonstra.
  19. cionem exhibebo propolicionibus aliquor sequencibus.
  20. P R O POSITIO XLVI.
  21. VIE AB axis parab olarum subalEerNE POLITATUM AKB, ABMI, _ axebi-
  22. lectoinE, itemque AF, B F. bilectis C _ D, per diuitionum puncta
  23. C, E, D ducantur recta ad axem normales, compleancurque rectangul a
  24. tam C P, P. Q in scripea parabola AHB, quam C I, F. L. circum (cripea Pa-
  25. rabolae ABM.
  26. Dico Colida que OriunEUE ex TPHT In CENM; d exHOK in
  27. FNOD, limul Cumpea maiorem molem exhibere quam Colida que hunE
  28. ex ductu plani MNL in F C FP, e plani NOL in PE. D Q, simul
  29. CumPEa.
  30. Demor

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1127. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:1184?run=74