Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[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. 150

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: 0.82.

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

The machine reads it as

  1. EL ADDTI PTOL F MI A. Y
  2. menos, eum tiru partium 180; Hypare meton,
  3. cum licu parcium 120; Here diercuomenon,
  4. cum litu parrium 00; Nece hyperbolaon, cum
  5. Licu parcium 60; Ouique tonum diazeueticum
  6. continent duo loni stances, cum sicu unde Hc
  7. hicium dictarum diltantiarum, sive eo l0c0
  8. CiaP. 15.
  9. In 51od ECdV P X proipcor n de FCdr peo cev
  10. n, rn 5a0 FCdV B H peoipcov H dE Vn It
  11. qdo supponitur sicus Solis, aliutre Rellarum escores Ddoygos, En oder n dexn rar cienpE
  12. crratiearum, a quo disjunsuntur, in vtralque , nTOI CV Cd TOTCO Vociny n =5a
  13. eneuli parces, diltantiarum mentura.
  14. sorati et habe at udtet y dE ryt
  15. TCoV rEeBonajor; tn 5404 FCOV E uoipcet
  16. oi dE o Ia OV DEIEXEVTES 2OVOV LoV
  17. ors 2os iNiov n a o VOS TCoV CNacoCN
  18. asipcor, e oi daevrruor. d nonsor, ra rcor Sldsdsecot pete d.
  19. ei AP. XV
  20. Duomodo, per numeros, suman. TIcos ar nauhavono, 29 e a et
  21. tur, suorum cujusque motuum
  22. rationes.
  23. IS ita se habentibus: Tetragoni distan.
  24. L cix numerus, 90, Tumptus incermedius
  25. inter parces 120, (numerum distantix Tri
  26. SOni,) et parces 60, (Hexagoni,) bina facier
  27. racionum incerralla; selquialterius, ee selqui
  28. cerrix: ad similicudinem, in FTarmonia, dua-
  29. rum primarum Consonantiarum; Dia pente, et
  30. Dia cectaron. Ouemadmodum autem, in Mu-
  31. lica, hae duae primx Consonantix, Dia pente
  32. e Dia reclaron, compotirx, Faciune Dia pason
  33. Onilonum: Similiter, hic, dictarum duarum ra
  34. cionum intervalla, compotica, se squialterius ni-
  35. mirum ee selquitertia, Facient rarionem du-
  36. plam, Dia palon Unitono congruentem. Fil
  37. dem autem comparatus, torius Circuli nume-
  38. rus, parcium 360, Faciet quidem, ad 90, xa-
  39. cionem quadruplam; congruentem, in Musica,
  40. pertecto Systemari DiFdia Pason. Sed ec alio
  41. item modo, ex iptis Zodiaci lignis, siquis id
  42. animadvertat, similem inveniac analogiam:
  43. Ouippe, partes 120, quatuor lignorum incer-
  44. rallum concinent; 00, trium; et 60, duorum:
  45. EX quibus ternarius (medio loco politus) ta-
  46. Etus ad quaternarium terminus Lubleguens, xa
  47. tionem etticit selquitertiam; atque, ad bina.
  48. rium antecedens, rationem effieit sesquialte
  49. ram; (ex quibus ucrilque componitur racio
  50. dupla, nimirum quaternarii ad binarium;) cui
  51. icidem comparatus L2 Signorum numerus, (10.
  52. u, (d tV onelcor nunoccer
  53. 20701.
  54. Ourcor) SrCS exerTCV o D rxCaYCOIIHS
  55. 2)aSaocOS ae, DuoS, 3 = , pEOOS Xy
  56. DBcis TCOV T PH uorecor 3 2817CorZ 7) 45 aoECO5.
  57. CC Ent rcev Z, D S et aycors, noinod duo N
  58. Squa 9. Norcor, B re juuionis, n 8 Sreirs nab
  59. ouotern (a Fcv D apuortas dVO NGCTCOY OVLDCOVICO
  60. TE A)a HeVE, CC ~ Na TEOSapCOV. SOECdE
  61. exi d psorns, avr ai duo necr ovpDcoriat
  62. n re D) à erre CC n 2)a TapcoV, ouvn dedvat
  63. o1SOT ∞ D)9 naocor ouo DcovoV 8TC, n, evrav)a
  64. ra Fcer cipnudicor dio noycor Dasuala ouvri-
  65. Depdua, 28re iuronis dunadn i 28 Sareirs,
  66. noinoor Y dhonaoro nogiv, 2 20 24 Xaocov
  67. d ouoDcerco areNogor Fm DEpo O 3 FBTOIS, n
  68. OTCr S ONS WVHNS FE psipcoV a euoS, no1od
  69. coegs Y Z, Y rerE a coNaorer NogoV, 7 reo dis 29
  70. XaScoVE D BOINS TENCS oVSqa ava Nogor
  71. Kat nab Érepor 2V, e aTC C TCV FS(C-
  72. Haus dcdenamuoeor, epot ls ay is quoiar
  73. avaNoriar SIONONCr at qd PR porea TENSa
  74. pcor dcodenauBeiCOV en C XSO2 2IaSqua ai dE
  75. E. Terdr at de E, duo cor o Y necd
  76. ueoos, es idio Y d ccobroS ZodvoS,
  77. notei Y enire1roV Negor Woe5 de Y B coeino
  78. 205 3wo O, noiei Y ipuronior nezor et con a
  79. rius nimirum ambitus circularis,) taciet qui. Doripcor o dconaoros suyuera neges, 28 d
  80. dem numerus hic ad 2, racionem quacruplam;
  81. prout exisir, in Mulica, Syctema pertectum
  82. Dif dia Paton. Fandem rero, quando tigu
  83. ras mulcangulas, nimirum criangulas, quadran.
  84. Pnus oed5 F B. ois e DEpo O X 0 xcov 1β
  85. Ecodicor aeuoS, D oAnS XVHNnS coeudS, nonod
  86. n avriS, nEOS Y Y, Y TETEa CONaorOV Nogov, na
  87. ra rlus opanouilio a2g 8diar 2od dis 219. n a-
  88. sulas, e sexangulas, jam considerarimus; sior eri rod ris pSOInS Tenets ovs
  89. Eei ge pleo nohoycorcor curnadnede, recrcrcor dynadi. in rereaycorcor, i iEarcorcor quarcor
  90. eirero
  91. AB. nd. g F. ai 3. r V. raor. C AP. 45. a V. Z. mendole. BG1O. rois. 5 V. d’ini. CF deest in
  92. a RVF. - rar. e C1O. deest X.
  93. fF. 8. S CF. x h. h Cil. dee privos. i ABY. deest noret un coeoro
  94. rop. C F. ourgurus. L 3IC O. reliquis deelt8

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. 150. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/867984570:0178?run=74