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. 288

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: 0.81.

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The machine reads it as

  1. 28E
  2. OR P FY R
  3. neros aequales, altribuendosu alete souls deu
  4. tonis: Inaequales rero, maquic. Sb al.
  5. tem a Fundanis numeris, ca quae Comoaas
  6. spectane, demonstrabant; oltendit Ludemus (in
  7. primo Rrichmerica cractationis) dicens, (de ly
  8. Chasoriis,) haec verbatim: Ad a l
  9. Consonantiarum rationes, (iplius DIa- FCHaTOH,
  10. e Dia pente, e Dia palon,) quod Contingi
  11. est in primis novenis; (Nam 2, 3, 4, TunEnO
  12. vem.) Causam autem, cur oporceat aequales
  13. numeros aequitonis actribuere, reddit Pcolemaus.
  14. iplam per se rationis cridenciam. Deinde LiC
  15. Pergit.
  16. Dolitis principiis; in Tonis, equicono; es, in
  17. numeris, sequalitare: Deindeque in Ponis InX
  18. quitonis, et inaqualibus racionibus; ucrisque
  19. quam proxime, secundum ucriusque principium.
  20. d pro cujusque ab eo propinguitate aur lon-
  21. sinquitate, commenturandas esse inaequalium
  22. difterentias: Perspicuum inquit eAle, quod, pro
  23. Xime polt aequalicarem, ordine sequieur, in ra
  24. cionibus, per numeros conlideratis, Pario dupla
  25. in Sonis vero, Unisonum Dia Daton. Quoc
  26. isitur Dia palon, est ab aequicono proximum,
  27. teltatur Sensus; quod ratio Dupla elt aequali-
  28. tati proxima, oltendie Racio. Sola enim dupla
  29. ratio, excellum habet aequalem ei quod excedi-
  30. cur, eundemque. (Multaque hac de re à nO-
  31. bis ance dictâ Tinc.) Adeoque auribuenda cle
  32. ratio dupla ipli Dia-paton: quoniam, Vnilono.
  33. rum, unicitimum cst ec pulcherrimum Dia. p2.
  34. Ton. Cumque dupla ratio ip(I Dia paTON aUTI
  35. buitur; ipsi Dis dia pason, arcribuenda erie bis
  36. dupla. Racio aurem bis dupla est Ouadrupla.
  37. FL Similicer Si Sic, ue admilerune aliqui, Tril
  38. dia paton; aue eciam Ouater. dia. paIOn; (ut
  39. Plato, in PEehoronia Dnirersi, ulque ad Oua
  40. cer dia Pason et dia penre et conum, producens
  41. diastema; ob causas quas alibi danus;) menlu
  42. renur haec contona, ipso Dia vaton, e rationi
  43. erecrai raveeor cst co du5, en Fn 100
  44. Crn pd es, o diconaoros nogos, eygore
  45. 20, is Vepoxlo excov ionv Ce Elus aulus
  46. rE Vnpexouerc Tcor de quo Dcorcr erco
  47. riNCOSATOV X, ne HGOV ~AI9 HaSCoV ids
  48. crcd de dis D)∞ cor, dnnovon Y dis d
  49. WoNaOrOV NogoV, TBTE5t Y reteO ToNdoroV
  50. Enor etrVES erepot MeFSOIV dV ECd T X)8
  51. NaoCor, i r1 diconaoo.
  52. Arododerros 2S D iooruroS Noy, o5 d tout
  53. apibucor EdECOBCTO, 2015 100τOIS = cov dE aviocOV,
  54. 3015 aVIODZOVOIS ZaCQUEZNZEOV, a ZCOV KeIErCV
  55. ev do D007(015, 25 1002018 er de de Duois, 1oo
  56. 5yr O. Aorrov D rcov avioororcov D00n cor, 3, TCoV
  57. aviocov NEYCoV, =5015EYgV5 aB Exdreor d oincias
  58. DEXHS n∞) 3 D Cygurn (D i 28 roppco, g-
  59. METGHFEOV ZaS Feor aviscorchaDoes vavepev, Dn
  60. or, o7 D 1oon O CYZOTATCI ZETK), ev pro Ne-
  61. 2015 = 2015 DecopSperoIS deQuois, o d ndsS. et
  62. de DBoyroi5, X 3)4 X cor ouo Dcvor- On pdi V
  63. ~ 2)∞ Xascor EYgo5 78100 _, qapropet n acdn-
  64. ors on de x donasr ergos Dioernos, dcirvo-
  65. si o neros. Nor 6 qd ò dconas O NoyO, ri
  66. VdEeox 1ol Ex+ red r Epexoduco, C Ed au-
  67. rus HoMd dE CC iuir ∞ Et r8TS éipn ceGrEPOV.
  68. Suse diodorcor rn 3) 4. H ascdv e2t n) F ouo Dco
  69. VCOV EVEOTMLESTATV Z CC nam ISOV ∞ DI∞ XaSCOV. YZ
  70. de dtnaois rn 3)a ascor dirododerros rn dis
  71. dhae aocor dirovepsp + dis donasuer dis ded
  72. EoN40O) NO7 O, E5IV o FETB~ CN a O ei de CC
  73. re15 d NaOCOV ESI, CdS ZIVES X apEd EZarro n naI
  74. Ter CaNIS, cos HNCTCOV, EY FH VvXOYova τ8 X av-
  75. 205, eXet r8 terCans dha nascor nai dhe nev-
  76. 72 naI 2018, WeYCV ~ diasqo di a5 ev
  77. SMOIS Deredidou ainas, ETSOIT ou nat ra
  78. ra ra OPCVa, EE dia XascoV Nat ∞ di-
  79. Tonaoo
  80. iooruros de a concos ZS ioss deuss dirodoreor
  81. Dnor, 2015 100701015 06cg(015 165 dE 163;
  82. av10DFoVOIS O2 gd, 3)9 ZcV ob WNC, 18. nat c
  83. Tas ouuPcoraS nd civa, 3H Not LV C
  84. rio necorco d api BS isoCa RV et
  85. HODarPCiCOV, TOVH XaTa NEGWr En dE 60V tut
  86. tcOV OOpDCoVICOV N6Y85, Z8 TE X(9 Z~ apCOV, H9)
  87. nGCoroIS LapX 3015 civca B V,Y dgnctat
  88. s D)a nErre, 3 8 _)a Xarcov, on oopbEBAHEV, Et
  89. ErrEo Aiar ) o HTONCuO, 3 deiv 285 1085
  90. deXS DeroVECN 2015 100FoVOIS, dinctduos
  91. avrodi S noys craertar FEs de encir.
  92. CL prONSDoV roruw erros rn apxn, 3 C Xa5 Cy
  93. numero.) Aiqualitatis vero, simpliciter, nu-
  94. a Camque huic principio consentaneum sit, FN-
  95. ee positas sonorum maequitonorunt differen-
  96. rias, pro earum ad aequalitaten propin-
  97. a quitate, invicem comparandas, esst. LLnC
  98. statim manifestum est, Ni qualituli huic
  99. ec proxime suecedere ratimem duplam; (ut
  100. quae excesum habet, illi quod Exceditur.
  101. c aequalem eundemque:) Ontfonorum vero.
  102. ce aptissima simplicitaris e omnium pul.
  103. a cherrimum esse, Dia. pason: Ldeoque huic
  104. a coneruere rationem Duplam; ipsique Dis
  105. dia pason (verbi eratia) vis- dupam, b0c
  106. est, quadruplam; sigua sant ana
  107. e quae à Dia pason incerrano e dupla ia
  108. eerione mensurentur.
  109. Accribura aequalitatis ratione, quae in nume.
  110. ris aequalibus compicitus, aqutonIS; e IX
  111. qualibus, inaeguitons: Comeuaa CtIl
  112. neas ZCV avioororcor DBoncor 2)aD-
  113. e45, H C95 Ta5 Woous eygoryt 4
  114. Y ero erieriav, repOnO eruiezsav. e sic aliquories. 2 MIF.. ris sed D. rois. a MF. DeeA rois - - ev 3 4) 17715.
  115. NF.

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. 288. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/867984570:0316?run=74