Leibniz Legible

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De Locis Solidis Secunda Divinatio Geometrica, fol. 97

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. VARIAR. DISPOSITIONVM LIMIT. TIB. III..
  2. L. F. M N A YI.
  3. PR O1.
  4. Atam AB sic dividere in C, ut rectansuu sud Eota AB
  5. in sui sermentum BC, ad quadratum reliqui seementi
  6. AC sit in quavis ratione data E. D, adt D A.
  7. IBsae daEX E. D, D A POnAnEE
  8. in dircecum sic in E A, uE haeC
  9. I A cum daca A B quemeum.
  10. que conscicuane angulum l. AB;
  11. ac Luper rOTZ F A, EC PATECM AV
  12. describantur semicirculi A l l,
  13. A CFD ad CamdeM PAPECM; aEquC
  14. Lopra diameerum A li CrIsATUE
  15. ex puncto D in majori Cemicie
  16. culo perpendicularis DP; ac cen
  17. erum E Cemicirculi minorisjun-
  18. Satur cum puncto P per rectam II F, quae arcum A CFD sCCCF
  19. in CF.
  20. FE quoniam intra FTF. reperitur centrum majoris circuli, exicLLF,
  21. quae est omnium maxima, major ipsa IIF, cui ab IIF. Pami potc-
  22. ric EII aequalis. Junsatur modo recta lB, cui ex D asatur aequidi-
  23. HanS DC, quae dacam aB lecet in C. Dico, rectansulum lub da-
  24. ta a B in ejus legmencum BC. ad quadrarum reliqui AC else in ra-
  25. tione data D 2d D A.
  26. sunsarur recta lC. Jam, quoniam in criangulis FHID, IIICE,
  27. duo laccta IFI, IID aequantur duobus IFI, II CE alcerun alteri, ec
  28. angulus 2d HI cM communis: reliqua laCeTA D I, CEI CrunE aqua-
  29. lia, et reliqui anguli ad D; C2, aequales crunc; sed angulus adDre-
  30. etus est, ex constructione; ergo et ille ad C rectus est; adeoquo tam
  31. DE, quam lC cansie Cemicirculum A CFD ad punetaD, C; 2c ideo
  32. rectaneulum AID, eguatur quadrato perpendicularis D F, vel re-
  33. ctangulo V. D A; sed rectangulum E D A ad quadracum D A eAt, ue
  34. laFUS H, D ad D A: ergorectangulum quoque AID ipAF D A equa-
  35. Ic, 2d idem quadracum D A est, ut linea F D ad D A. Sed rectan-
  36. Sulum AID ad quadratum D A est; ue rectangulum ABC ad qu2-
  37. deatum C. A, ob lacerum omnium proporcionalicarem Factam ab ae qui-
  38. distancibus IB, DC; ergo eciam rectangulun sub dara AB in sui
  39. seomentum BC ad quadrarum segmenti reliqui C. A est, ut linca
  40. E. D ad D A, sive in ratione daca. Quoderac laciendum.

Cite

De Locis Solidis Secunda Divinatio Geometrica, fol. 97. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/898203430:0289?run=74