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Ioachimi Iungii Philos. ac Medic. D. & Gymnasii Hamburgensis Rectoris Geometria Empirica, fol. 17

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: 0.88.

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

The machine reads it as

  1. pi
  2. 26. Bina quadrara e Catheris AC, BC. crianguli rectaneir-
  3. lisnimirum C. AD, C.BL limul Cumpca, aeguancur quadrato
  4. tixporenuta, nimirum ipli AFCB. Si enimapiceangulire
  5. etiC, in hiyporenulam AB. perpendicularis CFEdemitracue,
  6. ex procucatur, donec quadracum trpocenula secer in bina
  7. oblonsarcetangula AFIHCC FICB; urrumq: corum equa
  8. Dicur quadraro contermina cacheci: nimirum AFIIErectan.
  9. bulum, quadrato CAD, d rectangulum FIBCII, quadraco
  10. CBB. Duin ec conrertendo, si quo in triangulouniusla-
  11. ceris quadracum aquerur quadraris reliquorum duorum;
  12. eriansulum iltud eric rectangulum.
  13. a
  14. BLEAATA
  15. 23. Dato triansulo ABC aequoaltum e aequale p2.
  16. rallelosrammum, in dato anguIo Z ConAtruCrE.
  17. Unus apicum erianguli daci (prolibitu) eligacur rercex
  18. criansuli, nimirum B. Ducatur per verricem B recta paral-
  19. lela bali AC, qua sicDBF, e bilecetur balis AC in F; (ad al.
  20. cerucrubaleosterminum, nimirum A, uererricem) tiacan-
  21. Sulus FAC congruus daro angulo Z, ita ur ducta AClcceE
  22. rectam DE in TI. A recta DE extermino II velccCTUrHII, X
  23. qualis ipEI AF, ita uc puncta Fec I cadanein candem plagam
  24. rectae AEL; ducta F) complebie parallelogrammum quaesi
  25. FEM AFITI.
  26. XI. Si construendum sit rectangulum paralleloerammum; una ope-
  27. race bisectiofit, es rectus auculus construitur.
  28. C OrOII. Licet ergo tria parallelogramma inter se tum aequianeula,
  29. tum aequalia construere.
  30. 24. Datotriangulo ABC, supra latUS ejuS AC, qualI
  31. supraterminatam datam balin, in dato angulo X, p2.
  32. rallelosrammum aequale construere. Sire, datotrian
  33. sulo ABC, aquale Parallelogrammum in daro angulo
  34. Lconstruere, quod lacus unum, nimirum AC, cum.
  35. triansulo communchabeat.
  36. AC2.

Cite

Ioachimi Iungii Philos. ac Medic. D. & Gymnasii Hamburgensis Rectoris Geometria Empirica, fol. 17. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/73061350X:0025?run=74