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Ioachimi Iungii Philos. ac Medic. D. & Gymnasii Hamburgensis Rectoris Geometria Empirica, fol. 18

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. 1t: .
  2. e
  3. Alcerum reliquorum (praeter AC)lacerum. V. 0. ABBe.
  4. secerur in D; perD ducarur DB, Parallela ips AC; hacan-
  5. gulusC AF aequalis angulo daro X, ica ur At iplam DB sccCE
  6. InC. Relecetur ex DF recta CtB aequalis ipsi AC, ita uE
  7. puneta FI. Ccadanein eandem plagam rectae AC. Denique
  8. dueta rectaCFI, eric parallelogramum desideratum ACIIC.
  9. C OrOII. Licet itaque sex paralleloeramma inter se tum aequiangula,
  10. cum aequalia construere; sinimirum uni eidemque trianguloterna secun-
  11. dum proxinse praecedens problema, terna secundum hoc problema aequa-
  12. lia construantur; in uno eodemque ancuto.
  13. 25. Dato criangulo BAC aliudtriangulum aequale
  14. construere, quodunum angulum, unitriansulidarian-
  15. rulo, V. 8 ipsBAC, aequalem habcac, ee adjacensisti
  16. angulolatus alterum aquale rectae datae X.
  17. Alacerum, designatoansulo Ba C. adjacentium alterueros
  18. r. Z. AB, vel terminaco, vel ulera lacus anguloB AC oppolin
  19. cum, nimirum BC producto; re sccecur ipl Laequalis recta
  20. AD. Ducacur recta CD, ciq paralleta per Bagacur, nimirio
  21. BE, quae lacus AC (sire cerminatum sire productum) secerin
  22. E, ec jungacur DE; cric erian gulum DAF id quod quaeritur.
  23. 16. Dato parallelogrammo ABCD, criangulum
  24. iplxquale, X a quealtum construere, cujus ansulusee.
  25. gualissicangulo datoL.
  26. EX AB larere, producto perB, relecerur BF aequalisipsI
  27. BAs angulus aucem E AFxqualis construarur ansulo daco
  28. Zita uc ducta AF iplam DC, ubi opus elt, productam (ccce
  29. in G. Ducta GF, erit AC. F criangulum quod quaeritur.
  30. 17. Dato Paralleloorammo ABCD, super laterce.
  31. us AB, uc bal, triangulum ipsi aequase construere, cu.
  32. jus ansulorum unusx quetur an sulo dato L.
  33. Fx latere AD per D productos relecerur DB, aequalis ipl
  34. DA. Per E ducaturreCta FF, parallela ipM AB. tacq; anguluS
  35. B. LCaqualisdaco anruloX, itaur ducta AC iplam PF sCCCE
  36. in FI. Ducta BFI crierriansulum AfIB, id quod quaeritur.
  37. 28. I 27

Cite

Ioachimi Iungii Philos. ac Medic. D. & Gymnasii Hamburgensis Rectoris Geometria Empirica, fol. 18. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/73061350X:0026?run=74