Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Quo Continentur Claudii Ptolemaei, Porphyrii, Manuelis Bryennii Harmonica: Archimedis Arenarius, & Dimensio Circuli; Cum Eutocii Commentario: Aristarchi Samii, de Magnitudinibus & Distantiis Solis & Lunae, Liber: Pappi Alexandrini, Libri Secundi Collectaneorum, hactenus desiderati, Fragmentum ; Graece & Latine Edita, cum Notis ; Accedunt Epistolae nonnullae, rem Mathematicam spectantes; Et Opuscula quaedam Miscellanea] Quo Continentur Claudii Ptolemæi, Porphyrii, Manuelis Bryennii Harmonica: Archimedis Arenarius, & Dimensio Circuli; Cum Eutocii Commentario: Aristarchi Samii, de Magnitudinibus & Distantiis Solis & Lunæ, Liber: Pappi Alexandrini, Libri Secundi Collectaneorum, hactenus desiderati, Fragmentum ; Græce & Latine Edita, cum Notis ; Accedunt Epistolæ nonnullæ, rem Mathematicam spectantes; Et Opuscula quædam Miscellanea, fol. 52

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: 0.78.

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

The machine reads it as

  1. LL AWDII PTOLE M L I
  2. e BD rectarum potirionibus: Suppositoque
  3. cildem Canonio in sieu rectae FGHIA: nu
  4. merisque apce accommodatis; rectae nimirum
  5. AC, T2;. HR, 9; GM, 8; utrique BF 8
  6. FD, 6; iemque L. G, 4; e F. FI, 3: Conti
  7. cientur Conlonantix omnes, et Tonus. Nem-
  8. Cid D. 21.
  9. Bd adicor vnax Derros avrois NarvS Nar
  10. 47 ∞ C n6 a Deon EDapuo dercor re a pcov
  11. n edi a Y 28 Z1B, r7 ) d x 28FS, in de
  12. yu Z8F n, ExaTSpa) FBC
  13. d r325, nat
  14. nx Fn d X 1 78Y d, 2) Ed +8Y y. 2
  15. De, Diarellaron, (ur quae est in rarione se squi sencics mous rs ooupcovics, iy t siver 4
  16. terria,) ab AC _ HIR; item a GM e FD:
  17. acque ab L. G e F. HI: Dia pente vero, (ut-
  18. Dorc in latione selquialtera,) ab A C _ GM;
  19. item, ab HI e HD; acque a BF e L. G.
  20. Dia palon vero, (in ratione dupla,) ab AC
  21. e PD; item a GMI e P. G; atque a BL
  22. 3a reaecur n nara Y Seireiror Négor ouvIa
  23. edns, 2o ZCV a y ng D X, ng) 0 ZceV
  24. E pe nai Cd, nai d TEV y Na) ED. ~ dc 2)9
  25. NErrE n, ev ZC nutoNico NeyCo, 2T FcoV à Y C
  26. ne 8 ad 3,) d CM et HF: Dia palon et
  27. d rcev BG naj dC TS dE X9. IScoV Nai
  28. 214 HOS CpcOV, eo rC TCV Y n cCS Ta Y Noyco, Lod FV n p nai d E 8) 2)_ accor nai
  29. A piu 0dt dHnatC d, 3 FBCCCNn
  30. e TIF: Dia Pason l ua tellaron, (in- ratio.
  31. D) 9 Hacor ngy xarat Y dhconaorer Negov, 1 2 b 7E
  32. dia pente, (in ratione cripla,) ab AC _ L. G;
  33. itemque 2b HII _ HIF; Dil dia palon vero
  34. (in ratione quadrupla,) ab A C e F. TI: T0.
  35. nus denique, (in ratione selquioctara,) ab
  36. 3a nEVT Z i nara Y NSICN CoOV Nogiv, 0
  37. a Y = NaI Xn. nat Du nat dE 8 de dis 34
  38. Haocor, nat nara Y Ter C TON doroV Negov, 200 7
  39. HK et GM. POrrO; Sccundum hoc iptum a Y var ED nat En S S, nara t enoydoer ne
  40. Iultrumenium, li exponamus uccunque Paralle. W0on 2d 7 C BX xat n pu. Raeg dy r82 X 00
  41. IOGrAIIUI, UE ABCD; ( sive quadratum sit,
  42. raevor, ear end coeda ∞D XM nNOgEapCOV O TONCS
  43. sive aliud uicunque paralleloerammum;) acque io5 x à BY d. nas voyscopd ras pd à β nat y d
  44. intelligamus AB e CD, ad Chordarum APO.
  45. Dlalmara seu Finitores (quibus chordarum lon
  46. situdines utrinque terminantur:) et AC BD
  47. ad extremos lonos iptius Dia paton: Deinde.
  48. (procracta, ipsi CD, aequali DF,) secemuS
  49. nara sa dero lanuara rur xoed cor 5 de a Y
  50. nat B d varo. Csv arps5 Pdog(e5 8 3Ia nascor
  51. Endra, coChDEKBaNerS Tn Y d iol d + d E, na
  52. tarepecopdo, arri rcev navoricor, 2 Y d conobe ay
  53. (pro canoniis) CD lacus, pro rationibus cui- 2o15 oiretois FCv aicov Nego1S, D 8 E x is
  54. que generum propriis; polico, vertus F, ex neegs drondéuor nat X)à Fur quouicor ex
  55. iremo acuciori; perque hujus sectiones sic La. Pavris roucor l reircopdu Tas Xopd a5 My85
  56. ctasus tendamus chordas ipsi A C. parallelas, aL. re rH a Y, nat ioDToSS a MNaS (C, FSF8 3Vo
  57. que inter se aequitonas: acque, hoc demum
  58. tacto, commune tucurum chordis subductorium,
  59. eildem Tubjiciamus, in sicu rectae quae puncta
  60. edis, nomor Eoopdpor aycorca rcov Xoed cov
  61. 140obancopd = avS, vaTa T F d
  62. A F. conjungit; ut A F P: ConticiemuS itC Sons Ta a E oquéra Déov, cis à GE. Moin-
  63. rum chordarum longicudines, in eisdem ratio. oopd mnW Fa punten Fer Xopdcr, ev rois au
  64. nibus; quae itaque recipient rationum examen is, Ngis 1d5 DdeXc FCivEneodcon
  65. 3015
  66. gR rlud 8. ABCV. ruo adit. r OIVO. decA p. s ABVO. decs ny. + V. ap. u G1O. dc. X CY =
  67. K. Vn oed5 ro Yn. ABO: coeos ro y. V. coeis r v. Z BO. decA C. a A. deest, n
  68. D C BE ~ db 8ic
  69. ase habat, lC n TerE_ duore dozor od Z _ Y. B BCKV. deest saltem C OX n 85. 66 IO. d On.
  70. d GT. rn.
  71. e AB. aupor5. C. oinioss, d similicer aliquoties. fCR VO. Wvond --- 8 V. avrois. B AB. dirorcir i CV io
  72. Eam.. L KO. avris. VCKVO. rtuo revil a grioav. m OI. maira.
  73. ute
  74. roi5
  75. bi
  76. 1 r
  77. cone
  78. potcoe
  79. e

Cite

[Quo Continentur Claudii Ptolemaei, Porphyrii, Manuelis Bryennii Harmonica: Archimedis Arenarius, & Dimensio Circuli; Cum Eutocii Commentario: Aristarchi Samii, de Magnitudinibus & Distantiis Solis & Lunae, Liber: Pappi Alexandrini, Libri Secundi Collectaneorum, hactenus desiderati, Fragmentum ; Graece & Latine Edita, cum Notis ; Accedunt Epistolae nonnullae, rem Mathematicam spectantes; Et Opuscula quaedam Miscellanea] Quo Continentur Claudii Ptolemæi, Porphyrii, Manuelis Bryennii Harmonica: Archimedis Arenarius, & Dimensio Circuli; Cum Eutocii Commentario: Aristarchi Samii, de Magnitudinibus & Distantiis Solis & Lunæ, Liber: Pappi Alexandrini, Libri Secundi Collectaneorum, hactenus desiderati, Fragmentum ; Græce & Latine Edita, cum Notis ; Accedunt Epistolæ nonnullæ, rem Mathematicam spectantes; Et Opuscula quædam Miscellanea, fol. 52. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/867984570:0080?run=74