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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 862

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: 0.89.

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The machine reads it as

  1. 862
  2. aequales F F. F G, C D parer per propolicionem quadragelimam gulam huiusli.
  3. BEI COTPOTAOR V, PS Z, t O PY, esse inter se aequalia. quod oportuic demonsteare.
  4. PR OPOSTETO COXLIV
  5. axes consticure: lic aurem CD linca xgualicer ab axibus dictans; ad quam
  6. collocentur sicu subalterno HIK X HE MI parabolx.
  7. Dicosolidum ex ductu plani C LI in planum M N emersens, duplum
  8. esse quanticatis quae producitur ex superticierum HK, KM mucua mul-
  9. ciplicationere lulcantis; live dico C H ductum in se lubalcerne producere
  10. duplum ejus quod producie HK in HM.
  11. DV. CFVS ELRHL
  12. AcabOla A BC, D E F habean aequale lacus rectum ad axem consti-
  13. L CUTUM, CInEque (VDAIEErNE PO(IEX, QuaS SCCENE A F, B F ordinacim ad
  14. Demonstratio.
  15. Prop. 257. P) Vetis C N quae aequidistent A P, hanc rectis FII, aequales OP, e simiticer lineis
  16. LMI RanE aequales OD, libro de parabol2 a Osten sum CA R L, R FI, RG, _EKL,
  17. RMI KN esse proportionales lineas. Inscper octensum b Cs, li rectis E P, HanC Xqua-
  18. les HI, _ rectis NO, hanc equales I. MI, denuo lincas RL, IFT, ITP; _E RL, LM,
  19. MO esseproportionales, ac proinde rectangula PK L, HIL L, MI, et PFL, M OprOPOr-
  20. eionali esse; est gurem rectangulum P HI, MO quadruplum rectanguli IK L, cum
  21. linex PFT, duplG SInE RL, ex lincE M O, duplae linearum LR; igieur rectangulum
  22. FTT, LM, quod est mediumincer LK P _ P IT. NO, SCiliCCLINCCF VnUIM _ QuaLHOE,
  23. duplum est rectanguli TK L. Quoniam aurem proporcionales sunc linex OK, FTR.
  24. TR, _E RNF, RN, RP CrIE vE R G ad GFC, itA RFT ad FL, _ VE R N ad NM,
  25. ita RM ad M I: proportionalia luncigitur rectangula G FF, M N _E FII, LMCum
  26. rectangulis LIRM _E LK L: nam racio C FI, MN ad rectangulm FTL, L M com-
  27. ponicur exratione C FY ad FTI, hoc est FTK ad TK, _ EX FaTIONC M N ad L M.
  28. hoc estRM ad R I; ac proinde ve rectangulum GLTM NT ad rectanBUIUIM HKM,
  29. ita FTT, LM cectangulum ad rectangulum TR T: sed rectangolum FI LF M duplum
  30. estrectonouli LR L, ve paulo ance ostendimus; ergo eriam rectanrulum GHI NH
  31. duplum est FTKM. Ouapropcer per quadragesimam quincam truius, lolidum ex du-
  32. cu planorum C FI, MN exorrum, duplum est quancicaris que sc ex mucua luperh.
  33. cierum HIR, KMincer le mulciplicarione. Quod demonstrandum Fuit.
  34. ab
  35. eproer.
  36. Prop.

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 862. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0919?run=74