Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis, fol. 493

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: 0.84.

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

The machine reads it as

  1. Cap. II.
  2. L AA L2D LLL +OEOF AF.
  3. Roma orma
  4. MMFOd
  5. QFOM
  6. La
  7. XMOa
  8. Fm20
  9. FaOM
  10. Oaem
  11. J aMO OaMI
  12. I aOF
  13. amOr.
  14. Ex quibus, hrabentur Lacinx roces Seprem uriles; nimirum Roma, ramo, oram.
  15. morau maro, armo, amor. Religuxe Forma sune inutiles; urpore nullas roces extri.
  16. bences notae ligniticationis in illa Lingua.
  17. 9. Si vero una plurelre licerarum pluries OCCurraNE; nICrUS Anagrammatum,
  18. seu Alternacionum, sic exhibitus; Diridendus erit per Numerum, Numerolve,
  19. quos poltulant illae Repecitiones. Nimirum, si eadem Litera bis occurrat; divi-
  20. dendus erir numerus ille per 2: EIter, Per O: SI quater, per 24: ec sic pOrro, Sc-
  21. cundum variecates quarum capax est ille Expolitorum numerus. Nam, (I a b xC-
  22. putentur proeodem: tum, ubi (caeteris manentibus) ab et b a reputandae cAene
  23. BInX rarietares, nunc crunt unica; adeoque, Casuum numerus, dimidius exit ejus
  24. qui secus eller. Similiter (caeterismanentibus) abc ubique Sex exhiberene ra-
  25. rictates, prour ea locos inter se commutarent: Sin pro eodem habeantur, degene-
  26. ranc Bxe Sex rarietates in Unicam; unde varietatum omnium numerus tc SeXE
  27. plo minor. Pariterque li a bc d diverta sine; rarietates extribebune 24; qua, A
  28. Pro eodem habeantur, degenerane in Unicam. Ec, E plures litera lie repetita
  29. compareant, congrua pro lingulis achibenda erit Dirilio.
  30. Eixempli gratia. Vox M F DS F S, Cex literis scribitur. Oux si eRene omnes in-
  31. per Le diverla, AITErNaLIONCS FOTENE Z2O == FX2 X Z X 4 X5 X 6. Sed propter lireram e
  32. bis occurrentem, diridendus erit ille numerus per 2. (Nam (I, LOCOCC, DONaNTUT
  33. En, TUM M ESSnS CCmnS SES CrUNE dux FOFIX, qua jam COICIdUNE In UnaI
  34. messes; ee sic ubique.) Tterumque, propter liceram s ter occurrentem, dividet.
  35. dus POrro erit per 6. (Nam si eres illa ellent diversa, exhiberene, caereris manan
  36. ribus, tex calus, qui jam coincidune omnes in 555.) Ft quoniam ucrumque hic
  37. concinsic, dividendus exit 72O, LuI Per 2, TUm Per 6. Erunique rarierates di
  38. 2C
  39. verlae 216 = 60.
  40. mecsss emesss
  41. M CSCSS
  42. Me5 5e5
  43. meSSSC
  44. M SCCSS
  45. Mseses
  46. ISCSSC
  47. MSSCCS
  48. MSSeSe
  49. CmSCSS
  50. CMSSCS
  51. CMSSSC
  52. CCmSSS
  53. CCSMSS
  54. CCSSMS
  55. CC5SSM
  56. CSmess
  57. MSSSCC CSMSES
  58. CddSC1
  59. SMeSCS
  60. SMeSSC
  61. SMSCCS
  62. SMSeSC
  63. SMSSCC
  64. SCmeSs
  65. dCC15d
  66. SCC5HIS
  67. SCC5Sm
  68. Sesmes
  69. SCSMSC
  70. SeSCMS
  71. SeSeSm
  72. SCSSMC
  73. SCSSCM
  74. 111ed
  75. SSCM CS
  76. SSCmSC
  77. SSCCHIS
  78. SScesm
  79. 555ICC
  80. SSSCMC
  81. SSMCSC SSSCCM
  82. Ex quibus omnibus, praeter ixsum messes, nullum comparet utile Anagramma.
  83. Similiter octenderur, Literas a BbCcc d d d d variationes admittere
  84. EX2 XZXAXSX6X 7XBXOXYO = 3628800
  85. 2X6X24 = 288
  86. = +2600. Ltabbcc d a rariattores
  87. +r2u 3uqu 5 u6V, = 504 = 630. EL acabbecs, L22 3 uqu s 16 27, 18 = 40320 - 560. Si.
  88. 2X272 =8
  89. militerque in aliis.
  90. Cx246 = 72.
  91. 22. Conversa hujus, usui item exie: Cum id quod consideratum tuie ue unum
  92. idemque pluries repeticum, poltea diltinguendum reneric. Ouippe cum, nume-
  93. rus auce invencus, ita mulciplicandus erit ue numerus rerum lic diltinguendarum
  94. Dostulat.
  95. Sic vox messes modo considerata; ubi sss contiderantur ut eadem licera tet
  96. posita, e ce ut eadem bis polita, numerus rarietatum inde prorenit 60: Si 555
  97. 24
  98. 1
  99. dictin.
  100. a
  101. m0
  102. Mera
  103. a0LM
  104. aOMF
  105. xOaM Oram
  106. Omra
  107. 1IOaF
  108. Mard
  109. et tit
  110. OM aF
  111. CdMSSC
  112. eSCMSS
  113. CSCSIS
  114. CoC5SM
  115. CSSMCS
  116. CSSMSC
  117. CSSCMS
  118. eSSCSI
  119. C5oSuC
  120. Sncess
  121. SCMSeS
  122. SSMSCC
  123. SSCSMC
  124. SCMSSC
  125. SseSCM

Cite

[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis, fol. 493. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851708439:0517?run=74