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Ioachimi Iungii Philos. ac Medic. D. & Gymnasii Hamburgensis Rectoris Geometria Empirica, fol. 26

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. 26.
  2. 3. Oura quaelibet rectilinea figura in rectanculum, imd etiam in
  3. quadracum per sequens probl. 37. ejusque corollarium, transmutari potest;
  4. commocta cujusis rectilinei mentura, (eaqe 2 el accurata vel proxima)
  5. erit quadratuni communis mensura (accuratae vel proximae) laterum
  6. ejusdem rectilinei.
  7. 28. Siquadrora e commenturalibus carherorum trian
  8. gulirectanguli, numerum quadracum componanc; liypo-
  9. cenua cachecis erie commenturabilis: Sin minus; incom-
  10. erenturabilis..
  11. 29 Si quadrara e commenluralibus hyporenn(x e ca-
  12. checis quadrato numero difteranserunedicta larera relique
  13. cathero commenurabilis: Sin minus incommensurabiliq.
  14. 30. Si cresrecta commensurabiles a ttumaneur, ita ur qua-
  15. dracum ecom menluralimaximae; aquerur quadraris com-
  16. menturalium reliquarum; Priangulum ex altumcislaceri-
  17. bus constructum, erit rectangutum.
  18. 37. Diagonius quadraci duplum porestlaceris; ideogila
  19. cerincommenturabilis elt.
  20. 32. Alcicudo crianguli ordinaci rriplum pocest lemilare
  21. rissideogi lareri elt incommenlurabilis.
  22. 35. Segmenta rectx cerminicae secundum problema 2g
  23. Eacta, cum incer se, cum cotiincommenturabilia unc.
  24. L e L d L t E.
  25. 34. Dacorectilineo hypertrisono)equale rectilineur
  26. Daucioribuslaceribus comprehentum, construere.
  27. Sicdarum rectilineum ABOB, rel ABCDE, vel.ABCDCF,
  28. vel pluribus adhuc circum Ceriprum laceribus, ex eoq; rese-
  29. cecureriangulum ABCiper cujus apicem B, diasonio ACa
  30. oppolitum ducarur ip (i. AC parallel2BX, quae unum exdari
  31. reccilinci laceribus, relecto criansulo prorimé adjacencib;
  32. nimirum DC, percerminum diagonu C. velD. ubi opus, ests
  33. productum, (eceF in ZL DUCREUE AZ, ericqs (triangulum ACL
  34. trianculo ACB super communibase AC aquealtum, es proinde aequa
  35. leres daro rectilineo constructum x qualc rectilineumsuno
  36. dice

Cite

Ioachimi Iungii Philos. ac Medic. D. & Gymnasii Hamburgensis Rectoris Geometria Empirica, fol. 26. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/73061350X:0034?run=74