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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1191

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: 0.85.

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The machine reads it as

  1. ALDRALVKA CIKCFEI
  2. Constructio Ficurae vnuer als pio sequentibus propositionibus.
  3. IE AB axis parabOIX C A B. Cu equidister diamerer P P Bitariam divila in C.
  4. Sumprisque C CF, CH aqualibus; dini(que GF, FIF in guacuorparces aquales,
  5. ponantur per puncta divisionum Adinacim ad axem, ex perticiantur parallelogeam-
  6. ina BK, L,MI; iceM IN, R O, LL, MO: ex rectangula R, S, F, V, iceme X, ∞Y.
  7. XZnc. Denique ponatur figura patabolica LKE M subalerne in By d a. limilicer
  8. Tubalcer ConsicuaEUE F. C ( N, In P C2 p. Pandem figura parabolica TIF xv
  9. subalcerne ponatur in HFne, vei er Rgura HI FcX subalrerne consticuatur in HL F aB,
  10. de incelligantur parallelogramma rique pertecta.
  11. Constructio Ficurarum particularium.
  12. TT clarius in sequencibus procedamus, cransferaneur rectangula qux in (chemate
  13. onivertali sunc incer parabolam C A, diamerrum B C F, _ parabolas subalcerne
  14. Policas in schema parriculare primum, ee corpora orca ex ductu rectanguli M in (C, I.
  15. inse, K in se, Tin le, irem corpora orca ex ductu rectansulorum R, S, Y, V lingulo-
  16. rum in Ccipla, vocenrur corpora M, L, R, P, icem corpora R, S,T, V. Icem cOrpOTA
  17. qua nalcentur ex ductu rectanguli M in a rectangulum, rectanguli L. in d, rectangu-
  18. li K iny, rectanguli LIn B, VOCENEUT COrPOTAM N, L. S,K V, LB linc addico, vei d COr-
  19. Poragux exturgent ex ductu recransuli R in e, S in O, T IM H, V INM, VOCENEUE COE.
  20. Por2Re, 50, I X, V y.
  21. In SecundUM VETO SCHEMA FeLCFANEUF RCCFangUIAMO, L. P, RO, IN, icem eZ.
  22. Z, x Zi n c ac reccansulo quidem M O in schemacerniverlali, licae quale reccangu-
  23. Jum 9, in secundo schemace particulari: reccangulis vero L P, R O, IN in vmuer
  24. Tali, aequalia sine recrangula, P, O, N in secundo parriculari; icem recrangula X, Y.
  25. Zoaqualia rectangulis eX, 0 Y, dc. Denique reccangulis n, Ed, vγ, pB; DR, DS.
  26. bT, aV in ruiuertali, aqualia ponancur in parciculari lchemace , E, V, 1; 6, P, V. a-
  27. AC corpora quidem que nalcentur ex dueru reccanouli in le, O inle, Pinle, N in
  28. Sc, irem ex duccu reccanguli Z in (C; Z in (C, Z in lC, WIN LC, VOCENEUF COTPOTA O. P
  29. OH, eC. Irem ea quxe exlursent ex duccu O in v, ex P in 5, O inr, N in pu, _C. Vo-
  30. oencur sinc addico corpora ∞, PE, Ov N p; = B, XD. L. Y, coa.
  31. PRCtSFL1O
  32. L
  33. Llis poliris:
  34. Dico quod proportio qua cA incerrationes corporum Mn ad R e
  35. X XB, ad Da, candem ese cumm proportione quae est incer rationes cor-
  36. porum Ld, 2d50, ∞ YP ad PE
  37. Demonstratio.
  38. cranguli ZadO hoc estrarionerca Mdd k, d ex cactne recranguli d ad pajus
  39. HOC CsBN ade, F ademisitur es raTH CMIPOTIS M N ad RG, Lrario corporis Z B D Percand
  40. se cum latione quae est incer corpera L’pu P3. Hamcurlus tacto corporis Ld ad50.
  41. componca est ex ratione recranta L alS. d reccanguli d2d0; LaII ducem cOrpO
  42. ris YP ad PZ. ex iildem compolies cponicur enim ex ractene recranguli Yad
  43. P, chocestrectanguli L. act sealsoherecranguli ad rectats Hoc C CTerm
  44. recrangulidad0. Cua rtobique rationes exdem sinc, cric proporcio quxe est
  45. inter ratiOneS COrpOrUM MIN, 2d R e, X Xd ad O , eadem cum proportione quae
  46. est incer rationes corporum L. d, ad 58, e 2 ad PE. Quoderat demonsrandum.
  47. per 104.
  48. Tamratio corporis MN ad R P, composica est exratione recranguli MI ad R, et
  49. recranoulin ade. Icemrario corporis Z8 ad O compolica est ex ratione re-
  50. 2d 0 0. Fodem discurlu pacee racionem quae cst incer corpora L de 50, candem es-
  51. MMMM 2
  52. rigura

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1191. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:1248?run=74