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Leibniz-Handschriften zur Mathematik LH 35, 2, 1, fol. 212v

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: 0.75.

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

The same scan is also registered as fol. 215r; its text is given once, here.

The machine reads it as

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  11. sngnuspuosues srams rab pos COrevipso SaBIE OBExS mOU
  12. =7 WITBEI LIMSHE Day WBIOBB) Bquab X PBS CLIMSISBTUT CGMPASAIS
  13. Jopnr nanposd suiysSuo unconenburdonddu muisiurqureuie
  14. cemprojes 3d: uivistouoe) SSOX sis uteretisse Wvoino
  15. ss Lab Bisa ieo: Uud3H,DY O3OA UIIVE
  16. -nsvuo3 13d pa Cumpmores sod pa sduu curosydnspea b, Bypur 390d
  17. (LIMHBCLIEI DE XHUISISGIEIMSAIS PBA CFIISLLEIP CMEAPEAb DE MMSAI
  18. SUONES E ApUBd XAB) CEINSI LGIESHIIBSS SAICEIE CLMBEAPEAB S
  19. =EABRMTHHSSICIDUOyIBAVOS SaICINESIVOSEMI F CyS LMPUSIS): AuS
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  21. niuegoosos Cydjoxur
  22. BrpOyBSA SEPBLIEBNV LIIEIS SHHSIESCOSIES SouMOBS) CSBGGOXI SCWOUL
  23. ciopues Lydy semoy ens Byens suyd3o( csnurs Sanvor cenuea
  24. spempn3 su chus ysosod cnconuo Bens L unvisd sprabrar
  25. IIEIISEDLHIOPUENLIBHOS CMMLGUE ET LINIOIIIMU mnges OISISON
  26. GIITCSHEIENA XPTAE CsEHESHES inIBuI BOABCHUSGIGXS ESEIET PIGNICS3IIII
  27. eopesd enodur ynsuonen burdondde pousalay ainis
  28. 00000000000000000000 P0 CIMMNSILCIP DE
  29. .3∞ 9t 8E2E61685E59265+ t L. E IM LEIIU3I3GILH3II 3yo
  30. AIPHSVOMBCSGUBIVOIOS SAGAIOBN TBCLIXELH PSGESHIHSHEEIBEA SSAXLIS
  31. =OrgMMDSOLd IUN) IEMPOHISHSUEHI. L PE ZE WEAB WSSOUIC ~ L
  32. TELIEAB NB) ETDE EWIEAb LIBIOLELLSIUMHBEIEID DE RHUSASGUINSAIS
  33. Des 133III3) 3yD:Sduonea Burdosdde IBUSGHXS BAGESEPES SOpMDHISOAE
  34. exsur Soss iPusgryX CpOumpou ssdisscunssi soui x sndis
  35. =ur VD soleuI MEIIOAB CSUIBGIISGLLIMSIB X SUISGLISGUT OpHDHS euOSS
  36. Sd uopiab sopoio y y aniespede peao siuoires eseospeab o
  37. ciniies vou ea b c13IOd IBGCy PsEAMSSE DTATIOBS OrBuO
  38. DEPOP 3aBIE CSIIISBUFL (PBSIA 50183183 SOVZILCSM: Suye
  39. 3a 3d0id csuornsjuos od convaburoe nngey cumsa 3dond
  40. =npVEB. cPSBS_ PA SIESHSSEPR. BILIMSIM EUISESUI UuON
  41. Proporciones currilineorum ad Rectilinea investigare GCometE
  42. semper lunc conaci, ec camen nunc quoque, etiam post Algebran
  43. adhibicam, nondum ea res Pacis in porestate est, secundum
  44. vieem tractenus publicatas; neqre enim haec problemas
  45. qua–
  46. tiones Algebraicasrerocari poltune: e ulum tamen pulcherrimum
  47. habene, inprimis in Mechanica ad pura Geometrix terminos reducen-
  48. da quod norune, qui calia profundius inspexère, pauci quidem, sed
  49. maxime eximii Machemaricorum. Primus Archimedes,
  50. constac, invenit, quae sic racio inter conum, sphaeram ec extindrum
  51. ejusdem alcicudinis dc basis, nempe qualis est numerorum
  52. exlinder sic cripius Cou celelqaet pharae; unde IpharAN
  53. u
  54. orum etiam sepulero suo MCBBMIC: SaCIM invenIE quadtaCUTaI
  55. Parabolae. Nostro seculo lepettus est MIOCUS Metten SL HBuTAS CUE
  56. vilmeas innumerabiles, inpris saliao ortala BC, ISchetale
  57. sunem racione urcunque mulciplicaca auc submulciplicaca, directâ aue
  58. reciproca absciltarum AB vel DC; eric enim sBura ABC A ad rectan-
  59. sulum circumseripcum ABCD, ucunitas ad numerum racionis mul
  60. ciplicationem exprimentem, unitace auctum. Exempli graciâ, quia in
  61. 132, 3. _c. ordinacae BC, TunE ut eorum quadcata 1,4, 9, dec. Peu in du-
  62. plicaca ratione numerorum, tunc numerus racionis mulciplicationem
  63. minus.
  64. lin
  65. Da BCB, ul L ad 2 F. I. Seu VEt ad 3: LIVC, HBUTA CHE LesCa PalS rectan-
  66. suli. Si AB vetCDmaneane numeri naturales, de BC hanc cubi, 1,8,
  67. 27, _c. (nempe in Laraboloide cubica) Forec racio ordinatarum cript-
  68. cara rarionis abseiltarum: Ergo sgura ad rectangulum, uc L ad 3 fl
  69. live 4. ted pats qualta- Sin DC sine qradcata, BC cubi, live ratio iplo
  70. rum BC, racionis iplarum DC criplicata subduplicata, eric fxura (para–
  71. boloides cubico subquadmica) ABC A ad rectangulum, ABCD, ut 1 ad
  72. Z Fiseu duas quincas rectanguli constituet. In reciprocis, numero
  73. racionis muscipticationem exprimenti praetixicur senum =, sive
  74. exprimens eric 2: ergo eric sipura ABC A ad rectangulum circumferi
  75. Sed circulus nondum hactenus cogiporuic sub hujusmodileses.
  76. quamvis ab omnirecro memoria à Geometris exercitus. Nondum
  77. enim inremes pocueerus exprimens racionem Circuli A, ad qua-
  78. dratum circumesBc BL Figur. 2, 9rod e qractatum diamecri
  79. DE. Recinveniri poruic ratio circumterencia ad diametrum, quae
  80. HOI
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  84. -1310d sulus sup3113 X = 113 13qV unseipes b suls v = qV rCoie
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  109. BIACI CLIMISI SE
  110. EnO) Z IIDES ELLILINS RITIUT IBIX
  111. 3 oulo co Ee +. 1e t . 2 1. L + Z sdlvou opiodromnomies con dvys B

Cite

Leibniz-Handschriften zur Mathematik LH 35, 2, 1, fol. 212v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 44). https://leibnizlegible.com/page/00067993:0426?run=44