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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 811

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: 0.83.

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

The machine reads it as

  1. IN P L. A N Y M
  2. Demonstratio.
  3. DLanum PF ductum in alcicudinem AB, id est lC-
  4. atangula omnia FF AB, aequalia lune rectangulis
  5. FF AF _C E F B, id eA B F ducto in AF S F F ducto
  6. in EB: (Cd E F IN F R, XQUAEUT 2 A F iN FB: _C F F
  7. in FB b aequale CA KB in F A. igicuE P F ductum
  8. in alcicudinem AB, aequale AP in LB, _ KB in F A.
  9. Ouod erat demonstrandum.
  10. PROPOSIEIO CLXXIX
  11. IE BC quaevis sectio conica; +
  12. Dilliusque axis FC ad quem or- 7
  13. dinatim polica sIE A D: act aque F
  14. per L COntingenTCFHL, OCCUF- F
  15. rant illi, crectae ex A ee D linex
  16. aguidistantes axi F G.
  17. DicoB C planum ductumiin
  18. alcicudinem. AD vna cum E B
  19. ducto in se, aequari F C plano
  20. ductointe.
  21. s
  22. 3c
  23. 37CB LcctBIE
  24. 51
  25. 29C1 15
  26. Demonstratio.
  27. a 105. hB
  28. b +bid.
  29. Vcancur quoruis AC, _ per C reCtx pONAnEUE C B R parallela AD, quadca-
  30. cum AC caequale est rectangulis AD BC, A BDC; id est AD B C rectangu- c Prolo-
  31. lorna cum quadeaco A B: est aurem quadrarum AC aequale quadraris AF, F C: mem lib. 1.
  32. igieUE quadraCA A F, F. C. aequalia sunc quadrato AB, id est quadratis AF, F. B vn a ProP. 20.
  33. cum rectangulo ADB; ablato igicur communi quadrato AF, manet rectangulum
  34. AD B C vna cum quadraro F B, xequale quadraco F. C. igicur B C ductum in alciru-
  35. dinem AD, vnd cum EB in CC ducto, aequatur plano E C ducto in sc. Quod erat
  36. demonstrandum.
  37. PROPOSITIO CLZZX.
  38. VIc AB axis parabolx AC I, aequalis lateri reCtO: RaE AUTEM LUPEF AB
  39. LD qUAdEAEUM AB, E. F, X per A e F parabola de ScribAFUT AOF, ae qua-
  40. lis AC IBhabens verricem in F: FeutA VerO FB PTOdUICtA OCCUTTAEParA-
  41. bolxe ACI in l.
  42. OpOr.
  43. S ue t es . 1 e pte i e . e e e t e te ti e 1 s t u u t. et a l

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 811. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0868?run=74