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Ioachimi Iungii Philos. ac Medic. D. & Gymnasii Hamburgensis Rectoris Geometria Empirica, fol. 15

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. 5. Obligui aguli BAD, BAC, Si deinceps sibiposiri fuerine
  2. duobus rects limul Cupeis, ipsi simul lumpei aquales crur.
  3. 6. In omni eriansulo majorilaceri major an sulus, aequa-
  4. libuslaceribus aequales anguli; ex concra majoribus agulis
  5. majora lacera, ae qualibus ansulis aequalia larera, oppolica
  6. Eunc. Niirum si ABmaius cM quari BC; criam BC. A. Major
  7. erie, quam CAB e econcra; Si BA aequabicuriphiBC, criam
  8. Bequabicur ip(IC ABe ccontrario:
  9. 7. Si recta urcungs ducta AB, duas inrer le parallelas CD,
  10. EF incerlecetin punctis C_HI; binos quosei ansulosinter
  11. se alternosequales tacic: nimirui COFL, e CIIF, iceni DOFI,
  12. ec CitIE: ut de binosquosqi incus ec exrra invicem oppoti-
  13. cosincer le aequales reddie: nimiru exeernuCeA, interno
  14. FTIA; ITCIL CXEETRUI AGD, INCerNO AFIFS tUNI CtISM exTer-
  15. AIII EFTB, incernODCB; _ externuNI PFIB, internO CGB.
  16. 8. Oux eidem Cuneparallelae, inter se lunc parallela.
  17. 9. Si criangulilacus aliquod AB producatur per termi-
  18. num lireapicem B, in D; externus ansulus CBD; aquatur
  19. duobusinternis sibinon conciguis, sumul sumprisnimi
  20. rum ip(isCAB, e AC. B an Gulis.
  21. to Omnes anguli cujusque criansuli (plani rectilinei)
  22. simul supri, aequacur duob rectis (planis agulis rectilincis).
  23. COrolI. Creoin unotrianculo non nisi unus rectus, ohcusus ve
  24. ansulus existere potest.
  25. IT. Rectarum ex eodem puncto in eandem rectam di-
  26. ctarum brerissima estperpendicularis AD,
  27. C11. Ed1
  28. CorOII. Distantia itaque pucti A, a recta BC. est perpedicularis AD.
  29. 12, Omnes anguli (srecari sire conrexi) cujusqi plana
  30. rectilince figure limul sumpri, ae quancur bistorrectis an
  31. gulis, quoca ipla tisura eltincer rectilineas planas fguras.
  32. Vel (quodeodem recidir) omnes ansuli cujusqi plana recti-
  33. dincae fisure simul Cumpei ae quancur bis EOE, MInUS QuATUOT;
  34. rectisansulis, quoransulorum iplatisura clt.
  35. 13. Cujusq: plana rectilinea fsura, meris caris angulis
  36. cerminarae, laceribus singulis, pex singulos apices ordine
  37. productisu

Cite

Ioachimi Iungii Philos. ac Medic. D. & Gymnasii Hamburgensis Rectoris Geometria Empirica, fol. 15. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/73061350X:0023?run=74