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Ioachimi Iungii Philos. ac Medic. D. & Gymnasii Hamburgensis Rectoris Geometria Empirica, fol. 29

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. du
  2. 2. si . a
  3. Cautio. Siverrexnon datur, led eligitur, commodius ett,
  4. ursumacur punctum perimerris designacx basi AB non ni
  5. his propinquum. Dud dictancius cnum fueric a ba(i AB, C0.
  6. eriansulumcontruerur alcusi es conera quo propius il
  7. duc cohoc deprestius, ec obliquius:
  8. Noca obiter, per constructionem: Bujus problematis in veniri duo
  9. eriangula, aequalia duobus vel trianeulis, vel quadrilateris: itemtri
  10. ansulumes quadrilaterum criansuloes quadrilatero
  11. 37. Ad dacam terminatam rectam P. Fs en dato an
  12. sulo D; Parallelogrammum dato rectilinco ABC X
  13. guale applicare.
  14. Modus. I. Dissecetur dacum tirpererigonune diaxoniis:
  15. in merarrianoula A, B, C. ec dacaeterminaca etapplicetur
  16. Paralleloerammum Eti CFL, aequalerriansulo a angulum
  17. EtiC eequalem habensanguloD. Porrorerminata recte (FI
  18. applicerur parallelogrammum HICIII aequalerriansuloB;
  19. angulum FICK aequalem habens angulo datoD. Deniq; re
  20. etae terminare IK applicetur Paralclogrammum IHL. N, X-
  21. qualecriangulo C; angulum. IHF. aequalemr lrabens ansulo
  22. D. COmponetur exomnibus constructis parallelogramnis
  23. Parallelogrammum FFL MI; quod problemarilaristaeiet.
  24. 2 Mod. Construacur daco hypererisono ABC perpro-
  25. xime an cecodentia problemaro unum aequale criangulum
  26. L: Cliaequole paralleloorammum ad dacum cerminaram.
  27. F indaco ansuloD axplicerur, quod (cK; critqi id, quod.
  28. quETITUT..
  29. C OroII. L. Dato enicunque rectilineo rectansulum aquale construere.
  30. 2. Duibusque duobus triangulis communicrasonio adjacentibus, t
  31. nun paralleloerammum aequa le eàdem oper à déscribere
  32. 3- Dacum rectilincum mensur a quadrara metiri. Hoc aucem fit
  33. applicatione ad terminatum diminurimensur assimpta mensurabi
  34. lem. Duod si alterum latus pro vementis rectonguli assumpia mensura
  35. non metiatur, rectaneulum oblongum supersuum, sul suverstuo hyper-
  36. metri lateris, es cemmensurahili latere comprehensum, ad rectanen
  37. sum ordinatius applisando reduritur. idque. vel per 18. probl. S. l. velper
  38. dheor. 15. (. 20.
  39. 38. Datis:

Cite

Ioachimi Iungii Philos. ac Medic. D. & Gymnasii Hamburgensis Rectoris Geometria Empirica, fol. 29. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/73061350X:0037?run=74