Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 2, 1, fol. 215r

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 as fol. 212v (00067993:0426), where its text is given.

The machine reads it as

  1. suopuo
  2. =SuIV) EBNISIENY .CIESHBUIPILV D CiESIES qBS,V CiSUISPUSSuEN
  3. MeIAjEUV Ur E ry3dGIP V3HOd SBM LT CMNII EIy CunVsNSSE CMIMe
  4. rod eabnog vuur vanmaxva ungod uonodX BeSipor
  5. SIGeVI PBS INSgCySCBHLIEUE HSLIEI SESresqSIV vOU y
  6. 10
  7. unus sens chresab BM3ICSyPE+ S 1713S NB SCBrESqBSIV SoUOIEABZ P
  8. DBUCHMI HOU XSIEHGSSIY 1B3H: SOSESIMA DE CXSLITBCIOSE
  9. r cun3 CnnIsuSS XsneiPp raboyE msiono eod eab cerodiuo
  10. sngnuspuosues srams rab pos COrevipso SaBIE OBExS mOU
  11. =7 WITBEI LIMSHE Day WBIOBB) Bquab X PBS CLIMSISBTUT CGMPASAIS
  12. Jopnr nanposd suiysSuo unconenburdonddu muisiurqureuie
  13. cemprojes 3d: uivistouoe) SSOX sis uteretisse Wvoino
  14. ss Lab Bisa ieo: Uud3H,DY O3OA UIIVE
  15. -nsvuo3 13d pa Cumpmores sod pa sduu curosydnspea b, Bypur 390d
  16. (LIMHBCLIEI DE XHUISISGIEIMSAIS PBA CFIISLLEIP CMEAPEAb DE MMSAI
  17. SUONES E ApUBd XAB) CEINSI LGIESHIIBSS SAICEIE CLMBEAPEAB S
  18. =EABRMTHHSSICIDUOyIBAVOS SaICINESIVOSEMI F CyS LMPUSIS): AuS
  19. oropisop prab Copichhsod sues uou soyuur ospin enon b pos
  20. niuegoosos Cydjoxur
  21. BrpOyBSA SEPBLIEBNV LIIEIS SHHSIESCOSIES SouMOBS) CSBGGOXI SCWOUL
  22. ciopues Lydy semoy ens Byens suyd3o( csnurs Sanvor cenuea
  23. spempn3 su chus ysosod cnconuo Bens L unvisd sprabrar
  24. IIEIISEDLHIOPUENLIBHOS CMMLGUE ET LINIOIIIMU mnges OISISON
  25. GIITCSHEIENA XPTAE CsEHESHES inIBuI BOABCHUSGIGXS ESEIET PIGNICS3IIII
  26. eopesd enodur ynsuonen burdondde pousalay ainis
  27. 00000000000000000000 P0 CIMMNSILCIP DE
  28. .3∞ 9t 8E2E61685E59265+ t L. E IM LEIIU3I3GILH3II 3yo
  29. AIPHSVOMBCSGUBIVOIOS SAGAIOBN TBCLIXELH PSGESHIHSHEEIBEA SSAXLIS
  30. =OrgMMDSOLd IUN) IEMPOHISHSUEHI. L PE ZE WEAB WSSOUIC ~ L
  31. TELIEAB NB) ETDE EWIEAb LIBIOLELLSIUMHBEIEID DE RHUSASGUINSAIS
  32. Des 133III3) 3yD:Sduonea Burdosdde IBUSGHXS BAGESEPES SOpMDHISOAE
  33. exsur Soss iPusgryX CpOumpou ssdisscunssi soui x sndis
  34. =ur I3 solet CEIVOAB CSUIDGIIS)CLIMSII X SUISGIRSGUT OHSHIS euOSS
  35. Sd uopiab sopoio y y aniespede peao siuoires eseospeab o
  36. ciniies vou ea b c13IOd IBGCy PsEAMSSE DTATIOBS OrBuO
  37. DEPOP 3aBIE CSIIISBUFL (PBSIA 50183183 SOVZILCSM: Suye
  38. 3a 3d0id csuornsjuos od convaburoe nngey cumsa 3dond
  39. =nopVAB. cPSBS_ PA SIESHSSEPR. BILIMSIM EUISESUI UuON
  40. Proporciones currilineorum ad Rectilinea investigare GCometE
  41. semper lunc conaci, ec camen nunc quoque, etiam post Algebran
  42. adhibicam, nondum ea res Pacis in porestate est, secundum
  43. vieem tractenus publicatas; neqre enim haec problemas
  44. qua–
  45. tiones Algebraicasrerocari poltune: e ulum tamen pulcherrimum
  46. habene, inprimis in Mechanica ad pura Geometrix terminos reducen-
  47. da quod norune, qui calia profundius inspexère, pauci quidem, sed
  48. maxime eximii Machemaricorum. Primus Archimedes,
  49. constac, invenit, quae sic racio inter conum, sphaeram ec extindrum
  50. ejusdem alcicudinis dc basis, nempe qualis est numerorum
  51. exlinder sic eripius Co celelqaet pharae; unde IpharAN
  52. u
  53. Parabolae. Nostro seculo repertus elt MIOCNS ETIEMCL HGUTAS CUE
  54. vilneas innumerabiles, ps Graliao orainala BC, M Seeale I
  55. sunem racione urcunque mulciplicaca auc submulciplicaca, directâ aue
  56. reciproca absciltarum AB vel DC; eric enim sBura ABC A ad rectan-
  57. sulum circumseripcum ABCD, ucunitas ad numerum racionis mul
  58. ciplicationem exprimentem, unitace auctum. Exempli graciâ, quia in
  59. 132, 3. _c. ordinacae BC, TunE ut eorum quadcata 1,4, 9, dec. Peu in du-
  60. plicaca ratione numerorum, tunc numerus racionis mulciplicationem
  61. minus.
  62. lin
  63. orum eriam sepulero suo Met sulue: lacm Ivenr quabtaluram
  64. Da BCB, ul L ad 2 F. I. Seu VEt ad 3: LIVC, HBUTA CHE LesCa PalS rectan-
  65. suli. Si AB vetCDmaneane numeri naturales, de BC hanc cubi, 1,8,
  66. 27, _c. (nempe in Laraboloide cubica) Forec racio ordinatarum cript-
  67. cara rarionis abseiltarum: Ergo sgura ad rectangulum, uc L ad 3 fl
  68. live 4. ted pats qualta- Sin DC sine qradcata, BC cuby, live ratio iplo
  69. rum BC, racionis iplarum DC criplicata subduplicata, eric fxura (para–
  70. boloides cubico subquadmica) ABC A ad rectangulum, ABCD, ut 1 ad
  71. Z Fiseu duas quincas rectanguli constituet. In reciprocis, numero
  72. racionis muscipticationem exprimenti praetixicur senum =, sive
  73. exprimens eric 2: ergo eric sipura ABC A ad rectangulum circumferi
  74. Sed circulus nondum hactenus cogiporuic sub hujusmodileses.
  75. quamvis ab omnirecro memoria à Geometris exercitus. Nondum
  76. enim inremes pocueerus exprimens racionem Circuli A, ad qua-
  77. dratum circumesBc BL Figur. 2, 9rod e qractatum diamecri
  78. DE. Recinveniri poruic ratio circumterencia ad diametrum, quae
  79. HOL
  80. .ox C2E. Bx F Q MI CreMBencoS (MIEUIG 3A1y) QV PP ZV saydi SOnEN
  81. nugnae S0, xabDE1 29) omod (F iniespea b u PrV erdisjurerum
  82. -od scilus) oua xjoqud(. 3 EB,F.F F F 139DQV y endinos in en
  83. -1310d sulus sup3113 X = 113 13qV unseipes b suls v = qV rCoie
  84. runsp JV orgod dun L.QV suyci esdup JV iy in Zs De:bsa D eerenu
  85. -HuOD em ejOqHdLFY AneuOd X CSIHSIES IEgISp mmerpeab
  86. 30y esAi: 13GV 1y cV 3peAB~ Lodu) ZV WIEI) qe LEn) UNTFZ
  87. dabundeab eseuipio qus oinSuevot Poab Cunrespeab day ercis
  88. u joqudAFY Oida enIOd C9 XoHda sulu F1DO esdiP ex InS.
  89. XjoqudsFSugemOUI9yEQVAV smondity SganSIZ vS
  90. ODaV unrespeab sul)
  91. F1745 20qudLx
  92. eruoiod E AneABZ
  93. (0pa3 413
  94. 3
  95. 005
  96. ec
  97. F. 807. C24. 08. 8t.
  98. .
  99. 6bC. 22E. 85E. 66C. . 68, 28. 5C. st. 5
  100. oneBEBGEEEEDBESSCHCESELSOL EtC 6608 599Y 5 t 2 1 d E
  101. 66EOOE CLEBSE SCZ VE256I89L Etr oet 6608 E9 3t 5E 12 51 BE0
  102. 10b 19E+2E682952522961 691 612 122001 1819619E529161
  103. 1. 8
  104. :DASSIIgNS SHNSO LIETIOMREGLBIOI DSEId CMI
  105. 3guy V oqu nxvab X esBdO LSPeS CME LEIE
  106. OAD. LSIDMISEIETO LUINSEAPEA B ONGOAESINSIISILLIBS HIIS ETITN RIME
  107. Gurrio) suto c3∞ CB E, F E: oduu ConwecaBDNS SOULUIB) ajes
  108. BIACI CLIMISI SE
  109. EnO) Z IIDES ELLILINS RITIUT IBIX
  110. 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. 215r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 44). https://leibnizlegible.com/page/00067993:0431?run=44