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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 984

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: 0.90.

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

The machine reads it as

  1. NOVLA CXLENDRLCA
  2. Demonstratio
  3. ACa LinErBuI A _B, L. L ME quarum alcicudines F K, O F, aequales sinc A B.
  4. M diamerris semicsteulorum AGB, I. RM, qui in sciplos ductiiplas, vein
  5. Scholioro. ostentum elt, vngulas producune.
  6. IBiamecris A B, F, ML in Xque mulcs, Sed plures ac lemperplures, equales partes
  7. AI TP F. V.V V diuilis per divisionum puncta P, I; V, V ducancur normales ad
  8. diamerros GC, GC: R O, RO, _ compleantur rectanguta, C, I, OT, R V, RV.
  9. icem CIsCI, OV, OV, Cemicirculis inscripca. Rectangula (I, GII, RV, R V vna
  10. cum semicirculis suis ducta in scipla, hoc es in rectangula iltis aequalia se similia C I.
  11. CF, _ OV, OV producentintinica parallelepipeda, rngulis que ex lemicirculo-
  12. rum ductibus generantur, in scripea, quorum bases erunt rectangula CIC, R VO.
  13. hoc est quadrata IC, V. O; alcicudines vero erune xquales diamecrorum parces IL,
  14. VV. Ouia ex constr. AI suncad TB, DEL V sunc ad V MI: suneque C I, OV me-
  15. dix InEEF AP, TB, _ LV, V M, crunc quoque AI, ad CT, ve L V ad OV. de in-
  16. nercendo CF ad AI, vE OV ad LV. SCd CKCONSEF. A T TUnCAd AB, VE L V 2d
  17. LMI. erSOCxaquO CI sunc ad AB, ve OV ad ILM: ee pormucando C L (unE 2d
  18. OV, ve AB ad LMI. ergo racio quadeacorum lingulorum CF ad quadraca sinou-
  19. la OV duplicaca estracionis diamerrorum AB, F MI. Sed racio alcicudinum FI, 2d
  20. alcicudines VV, eadem est ex constructione, quae diametrorum AB, L HI. Racio
  21. isicur compolica exraciono guadracorum C. I ad quadeaca OV, et ex ratione al.
  22. ticudinum Et ad altirudines V V, hoc est ratio parallelexipedorum singulorum vn-
  23. sule AKB inscriprorum ad parallelepipeda lingula rngulae L. I M inlcripea, eri-
  24. plicaca est rationis diametrorum AB, ILM. ergo singula parallelepipeda vngulae
  25. A KB Engulis rngule P. TM proportionalia suINE. CrZO Per 12.5. elemenc. ve vnui vuou-
  26. Ix ARB adrnum rngule P. PM, sic omnia simul ad simul omnia. Requi rnum
  27. estadrnum in triplicara rarione diamcerorum, ve iam ostenum cst. Proo omnia li-
  28. mulcumpea rngula AR B, Cunc ad omnia simul Cumpea vngulae I. Y M in criplica-
  29. caracione diameerorum. Quare Ei prolequamue reliquam parcem discursus in pro-
  30. vol. 45. X 17. exprelsi, legicime concluderur, ongulam quoque 2d rngulam in eripli.
  31. cara exiltere diametrorum ratione. uod eraC demonstrandum.
  32. DAR S

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 984. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:1041?run=74