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De Locis Solidis Secunda Divinatio Geometrica, fol. 154

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. VINCENTH VIVTANT DE LOCN SOLNI
  2. OGF ad VB L. Led permurando, quadratum O Y aequale C LCCa
  3. ctangulo V B I aequale elt, ee his addico communi quadrato L. B, crunt
  4. 254
  5. 10 OOF, re paulo superius ostendimus, ergo, de quadratum O L. re
  6. quacrata OL, LB, suc vnicum OB aequale rectangulo V B T cum qua-
  7. dtaOLB, sive rnico quadrato L. P, ideoque ramus OB ad Hyperbolam
  8. A B aequalis semiordinatae P. P inteF OpPOsITaS AF, C V; atque eAt ramUS
  9. OB maior semper sua amplicudine LB, (eoquod OB recto angulo sit op.
  10. Dolita, L. B vero acuO) ergo _ L T maior est L. B, hoc est punctum Y
  11. Cadic intra dacam Hyperbolam AB, e sic de singulis ramis, de semiordi
  12. natis: Ouare huiusmodi oppolitarum Sectionum Convexa AT, C V toI2
  13. Tunc intra datas AB, CV ad veranque parcem occursuum iplarum nempe
  14. ad A. C, in quibus se tancuum concingun, SIINEquCSAY, RC V Limites
  15. propolicae Ordinacionis. Ound demonstrandum Crat.
  16. rollisuut sa, eude t us ricatum Sectionum paria in cadem
  17. inira reliquum in duobus tancum punctis iplum contingens, quale in lu.
  18. Periori ABura est PaF OPPOLICArI SAF, ROV, tansenS Par OppOlICa-
  19. rum AB, CD, in punccis tantum A, C, aeque ipta conactUM
  20. PUNCTA recta linea iunsantur cui aecuidistanter ordinatae sInE quoI-
  21. CAINGHC FCCX VErUNque OpPOSIcatM par SCCaNTeS, rectanoula Tub inx-
  22. qualissimis harum ordina arum parcibus incegraneibus, sune incer se ve
  23. quadraia segmentorum communis diametri coniugatae inter iplas ordina
  24. tas, _ Ordinatam per concactus interceptorum. In praedictis enim Oppo
  25. sicarum Seccionum paribus demonstrarum est rectangulum OGF, ad
  26. VBT esse re quadracum OL ad OL.
  27. MOML
  28. coniugata diamero celtera habentia, ee quarum diametri tranluerta
  29. inrer le aequidistent, fuerine simul adscripta, ita ve par ruum cadat totum

Cite

De Locis Solidis Secunda Divinatio Geometrica, fol. 154. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/898203430:0182?run=74