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[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 93

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: 0.87.

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

The machine reads it as

  1. ERIMOIDTA MATETEMATLCA.
  2. lum aequalem angulo B AD, sccundum FZ FX capiat angutum X-
  3. qualem angulo CB D, ac tertium FVY capiac angulum aqualEM ERINOS.
  4. angulo ACH. Describi aurem debene segmenta ad Cas parteS i1-
  5. RCaFUM FG, FFL, F P, UE lITeTATUM FSC F idem AC ordo circula-
  6. risquilicerarum B A D B, ucque lIECEX F T HI F eodem ordine cum
  7. literis C B D C, dc licera FV PF eodem cum liceris AC F. A in Or-
  8. bemredeant. Compleantur segmenta in circulos intesros, sicque L
  9. cenerum circuli primi FSC, et 9 centrum secundi. FY FI. Junsatur
  10. et utrinque producatur P Q ec in ca capiatur R in ca ratione ad
  11. Q quam habet BC ad AB. Capintur autem Q R ad caS PartCS
  12. puncti a uc licerarum P, 8. R idem sc ordo acque licerarum
  13. A.B, C: centroque se e interrallo R F describatur circuluS quarEUS
  14. FNc secanS circulum tertium FV I in c. PungatUE PC ICCANS
  15. circulum primum in a ec secundum in b. Agantur a G, bFY, CL, dc
  16. Figurae abc FC FT TAimilis consticuatur Pigura ABC fCBi: Rritque
  17. Prapexium fehi illud ipsum quod constituere oportebat.
  18. Secent enim circuli duo primi FSG, FTFY se mutuo in R.
  19. TUInSAnEuE P K, QR, RR, a KL, bK, cK, _ produCatuE G F 2d L.
  20. Anculi ad circumferentias Fa K, FbR, FCK sunE Semisses an-
  21. Sulorum FP K, FGK, FRR ad cenera, adeoque angulorum
  22. illorum dimidiis L. P K, L QK, L. R R aequales. F. A ergo FigurZ
  23. QRK Figurx abc R aequiangula e limilis, e propterea ab cst
  24. ad bC UE F ad Q R, id ett, ut AB ad BC. Angulis insiper Fa C
  25. LbTZ, FCL XQUANEuE fA5, fBB, fCI per constructionem. Fr-
  26. 80 Figura abc FO FCL Figura similis ABC fehi compleri potest
  27. Duo facto Traperium fehi consticuetur simile Prapezio LG II P.
  28. de angulis suis f, 5, B, y Tanset rect aS ABC, AD, BD, CF
  29. C. P.
  30. Corol. Hinc recta duei potest cujus partes, rectis quatuOr pOsi-
  31. tione datis dato ordine interjectae, datam habebune provortionem
  32. ad invicem. Augeantur anguli F G FY, G FYP U(qUO COS VErCCtX FC,
  33. GFL, FFT in directum jaceane, e in hoc calu construendo Proble.
  34. mas ducetur recta fxhi cujus partes fe, sh, hin rectis quatuor D0.
  35. sitione datis AB ec AD, AD e B D, BD ec C F interjecta, c.
  36. runc ad invicem uc lineae PG, C FI, FF P, eundemque SerrabunE or-
  37. dinem incer (c. Idem vero sic Eic expedicius.
  38. PrOcu-
  39. L LBEK.
  40. AHMIIMBHIIIIHII

Cite

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 93. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0127?run=74