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Ioachimi Iungii Philos. ac Medic. D. & Gymnasii Hamburgensis Rectoris Geometria Empirica, fol. 20

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.

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

The machine reads it as

  1. 27. Daeorum duorum triansulorum super aequali
  2. Deshrasibus aequealtorum, alcerum alteri consruenter
  3. EFaMCMLLLALC.
  4. Cal. I. Daris duobus contiguiseriangulis ABC _ ABD,
  5. sIc ABD congruencer ip(i ABC. Transmurandum. DUCatUF
  6. BE. Parallelasps Ca (sirebilececur AD in E, ducacurqueBF)
  7. dillecerur criangulum BAD secundum iplam BE, rurtusque
  8. concinnetur (componacur) ira, uc E. A ordinare congruacin
  9. ED. Id quod inde oritur eriansulum, criangulo ABC. EOTuM
  10. rocierie congruum.
  11. C aC. 2. Daris coincidencibus criangulis BAC, DAB, (Ir
  12. DAE criangulum eransmurandum. Bilectâ DC. in P, ducatuF
  13. AF, _ lececur eriangulum D AE secundum AF. PorrOrrian
  14. culu FAE Sectum secundum ip(am FC, COnGrUenTEFEraNS-
  15. Formetur ipsi BAFrriangulo per cal. I. Denique DAFirrian-
  16. Bulum sccundum sectionem FFLicidem per cal.I. congruen-
  17. cerrranstormecur eriangulo FACi; Factumqi exirquod qua
  18. XIEUT.
  19. CaI. 3. Daris incer se hiantibus crian sulisBAC, DAF, HE.
  20. DAEcranmucandum. Ex DB, interrallODE. relCCETUEDP,
  21. icerum gi extiBeodem incerralloresecerur FC, donccC (vel
  22. ulcerius relectionis punctum) cadarrel in iplum C, vel in-
  23. ter C. Q B, C anstormeturque ADE triansutum congruencer
  24. ipsi rriangulOAFD, _E AFDipR ACF. Denig; ulcimum ACF.
  25. ip(i ABC. Factum q: erir quodimperarur.
  26. NOca L. Commodiores bre vior est transmurario, sitrianeula
  27. oversus eandem plagam nutent.
  28. Noca 2. Si intra parallelas rectas AB, CD, interceptae recta LF,
  29. ex puncto unius parallelarum Cr, parallela ducendasit; sumatur PFI
  30. aequalis ipsFC. ducta CCF parallela erit ipst C. F perth. 14.
  31. 22. Datorum duorum superxqualibus balibus AB,
  32. ED. aequealtorum parallelogranmorum, alterum
  33. EFCHI, alECri ABCD COngruentExETanCmuTaTE.
  34. Producancur oppotux balestiF, Coth, pex Fe H, uepZ
  35. ralle

Cite

Ioachimi Iungii Philos. ac Medic. D. & Gymnasii Hamburgensis Rectoris Geometria Empirica, fol. 20. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/73061350X:0028?run=74