Leibniz Legible

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[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica, fol. 168

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: 0.88.

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The machine reads it as

  1. DE LOGARLTHMIS. Cap.
  2. Logarichmorum autem usum quod actinet. Duorum quorumvis, (aut etiam
  3. plurium,) Numerorum Locarithini simul additi, constituunt Losarithmum, qui
  4. Losar.
  5. 2, 39794
  6. L 2,00000
  7. 3739794
  8. Logac.
  9. E, 3979
  10. 1, 87500
  11. 3927300
  12. Num.
  13. 23
  14. X100
  15. 2500
  16. Num.
  17. 2
  18. X7
  19. 1875
  20. numero ex assumptorum numerorum continua mulii-
  21. plicatione facto convenit. A. deoque invenco facti
  22. Loparichmo, habetur ipse numerus tactus, ex Ca
  23. none. Puta si numeri 25, Logarichmo 1, 39794
  24. adjiciatur numeri 200, Logarichmus 2; horum a8
  25. SregaTM 2 + F, 39749 = 3, 39794, eAt Logarich.
  26. muS numeri 25X 10O ==2500. Pariter, EI numeri
  27. 25, Losarichmo 2, 39704, adjiciatur numeri 75
  28. Losarictimus F, 87506; horum a8gregatum 3, 27300
  29. est Logarichmus cui in canone convenic numerus
  30. 2875. Fodem modo; in continue proportionalibus
  31. 2, 2, 4, ec. cum ad inreniendum locum sexasesi-
  32. mum quarcum, numerus F, concinue mulciplicandus est in 2 lexagies et cer; (1
  33. nuMerI F LOBarichmo 0, 00009, adjiciacur numeri 2, Logarictimus 0, 30103,
  34. sexagies _ ter, (hoc CH, 63XO, 30203) prodibit 18, 96489; cui juxta Capo-
  35. nem LOTATIChMICUM CONVENIEE MUMCTUS 9223300000000000000, Circiter; vel
  36. Taltem 9223400000000000000; vel pocius inter ucrunque: neque enim in tam
  37. vastis numeris expectandum est ut Canon Logarictimieus majori avecbis. rem
  38. En Divi- Drocat.
  39. LOGar.
  40. 2900000
  41. 2, 69897
  42. 0,30103
  43. 2,69897
  44. -0, 6989
  45. 2900000
  46. Logar.
  47. 4779C5F
  48. 29 3979
  49. 1, 87506
  50. 2,5185Y
  51. LOgar.
  52. 0,69897
  53. +0,69897
  54. ETum.
  55. 100 (2
  56. 50
  57. 50 (20
  58. Num.
  59. 75) 0rer. (3:
  60. +0,60897
  61. 2900697
  62. Num.
  63. 225
  64. Similiter; Si ex numeri Dividendi Zoearithmo
  65. auseratur Loearichmus Divisoris, prodibit Locarith
  66. mus duorientis. Si autem plures continue Faciendae
  67. Sinc diritiones; ex propolici numeri diridendi L0-
  68. Barichimo, auterendi Tune Logarichmi omnium con-
  69. tinve dividencium. Duca, Si Cx numeri 100, L082-
  70. richmo 2,00000, auteratur numeri 50 Logarichmus
  71. 2, 69897; manebit 0, 30203 Losarichmus Ouorien-
  72. eis 2. Si ex numeri 50 Logarichmo 1, 59897 aute-
  73. Y3LUE 0, 60867 Loparirmus numeri 5, mancbit r.
  74. Logarichmus numeri 20. Tiem SI Cx numeri 67875
  75. Losarichmo a7925F auterantur cum 1, 39794 L0
  76. Garichraus numeri 25; cum X, 87506 Logarichmus
  77. numeri 75, (ex canone depromendi;) manebit
  78. 2,5285F Loserichimus numeri 33, duabus dirisio-
  79. nibus per 25 e 25 continue tactis provenientis. EL
  80. timiicer alihi.
  81. Aeque hinc similicer sequitur; st numeri cujus-
  82. vis Focarithmus dupletur, tripletur, quadrupletur,
  83. ∞C. provemet Loearithmus duadrati, Cubi, BI
  84. quadrari, exc. expositae ractiois. Puta numeri 5
  85. Logarichmus 0, 60897 cxiplatUS, REMPC 290969F
  86. 3X0, 60807-0, 69897+0,698970,69897
  87. est Locarichimus numeri 225 = 5X 5X5.
  88. Rad FE, vice verta; Si numeri cujusois Learichmus suerit bisariam, crisariam,
  89. cum ex quadrisariam, ec. divisus; prodibit Loearichmus radieis quadraticae, cubicae, bi-
  90. tractione. quadraticae, 55. Puta 3) 2,0069+ (0, 69807, erit logarictimus numeri 5 = V3 T25.
  91. Fractio. QuOTieS aUtEm OcCurrI numerus minor per majorem dividendus unde oritur nu-
  92. num L0-
  93. sarichomi. LO82r.
  94. 6730103
  95. --0. 47712.
  96. -0, 17609
  97. NuM.
  98. 2 (3
  99. merus tractus, qui unitate minor elt; prodibit 19.
  100. sarithmus Negatirus sire Ablacicius, quippe minor
  101. quam 0,00000 Loharichmus unitatis. Puta 3) 2 (
  102. numerus, logarichmum Dostulabit = 0, 17609. qui
  103. nempe provenit subducto logarichmo numeri 3, ex
  104. locarithmo numeri 2.
  105. Oui plura petie de Logarichmici Canonis sire Constructione sive VTu, auchores
  106. adeat supra lauctatos, Nepperum, Brisgium, Gellibrandum, aliolque qui de hoc
  107. negorio ex protesso scriplerun. Susticiar nobis, operarionum Logarchmicarum
  108. originem ee lonrem indicealte.
  109. rithmo-
  110. rum usit
  111. in Multi-
  112. T
  113. plcatio-
  114. hohe.
  115. In Pote-
  116. Cenest.
  117. stabum
  118. Prime

Cite

[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica, fol. 168. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0188?run=74