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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 621

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: 0.83.

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

The machine reads it as

  1. Derbo.
  2. I: pe
  3. nE p
  4. dito
  5. Bolam
  6. erian.
  7. OH
  8. dina.
  9. iuII
  10. niam
  11. de
  12. icu
  13. situr
  14. aEu
  15. nou
  16. acum
  17. HIX P E R BOL A.
  18. AAE ad YE, id eA IF ad dE, vE LB ad cB, id est B C ad B Y. est aureim etiam
  19. 622
  20. vE FT ad TR, AC B C+ ad CF, GuIa LR. CHL in l a L. bissectae luNC, ex COn-
  21. permucando OVl ad N=C ve OEI ad NBC. id cl HLLM 20BL, per
  22. anee demonstraras similicer ostendemus, si residuis segmencis OT, II icem N X,
  23. XC criangula insecibancur maxima; criangula Cegmentis OT, T PMMcMpCa CHC d
  24. rrianoula leomentis NX, X C inseripca, vE F MII criangulum est ad crianpulu
  25. 116. D
  26. BL C. Ouod crm heri possiehine cermino, constat a lesmeneum LFO esse ad (e- progressions.
  27. smencum eXNV, ve PMI criangulum ad criangulum BP C: addicis igleur crian- bus.
  28. sulis NVCFI, ORI quae proporcionalia octenla limeeriangulis BI. C. LM L. Palel
  29. semitrperbolam NX CII esse ad semihyperbolam OTIFI, re BL. C crianou-
  30. lumad erianiguluim F. M l: quod propolicum fuic.
  31. P. RO POSITIO CLXXV
  32. perbola dd eandem applicacae diamerrum e communi gaudCHTeS
  33. ranluecca, Candem inter se habentrationem, quam ordinatim poli-
  34. Demonstratio.
  35. lc. AB diamecer cransuersa communis hy
  36. perbolis BED, BF F: posiraque ordinarim
  37. ad B C diamerrum, linea F D C, bisecCTUEBC
  38. in II s_ HIOF ducacur aequidictans F DC,
  39. iungancurque puncta BD, BB, F FG FB, GD.
  40. EB: ve AELB rectangulum ad rectangulum
  41. ACB, EcbHIC quadracum ad quadracum DC.
  42. _ F HI quadearum ad quadracum F C; igieur de
  43. H C linea eltad D C lineam, ve FII ad F C,
  44. _VED CAd BC, siC FF C ad TTF: lCd VEDC
  45. 3d B C, sC HIK elt ad IHI, recte igicur HIC
  46. F TI proporcionales (UnE FIK, TII: quare ve
  47. EIG ad FTF, lic OK residuum ad residuum
  48. FI: CRauceM VE GK ad FI, sIC BCR crian-
  49. sulum ad eriangulum BF (, ad eoque e BO D
  50. 2d BFF, criangulum isitur BGD ad BFF,
  51. criangulum est vr CHI ad F HI, id cl vED C ac
  52. F C: Similicer R relidux BII, HIC biseceneur,
  53. ee a sectionum punctis ordinacim ponantur lineae, hancque triangula ve prius, olten-
  54. decur criangula reliduis segmentis BCD inscripea, cAc ad criangula scomeneis B F
  55. FP inscripca, ve DC linca est ad lineam F.C: quod cum semper heri ponie; ly
  56. perbola BDC est ad hyperbolam BFC ve BDC, criangulum ad criangulum
  57. BF.C. idcuDC linca ad lineam F. C, hyperbolae igicur ad eandem applicace dia
  58. merrum, ec. Ouod erac demonstrandum.
  59. Sructione; ioicur d B~ al pE, ve Hd ad dR, id elt B= ad A O , H F L al LS.
  60. e BO 2d OX, Ve FS al 3L, eMCF SA SF, HC OBL ertanoulum est 24
  61. criansulum PTO, e HeB dd X. HC BC criangulum est ad criangulum
  62. NXC, criangulum ieu BC 1XC CarLOIadOII ctasulum; de
  63. ex candem habences alcicudinem.
  64. Varum hyperbolarum concauarum ebe alteu.
  65. PROEBSITIOCEZXVI.
  66. IE lE H 1
  67. Constru-
  68. u e e s p e e pe e 1 1 l f a 1 e

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 621. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0678?run=74