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Leibniz-Handschriften zur Philosophie LH 4, 1, 4b, fol. 1v

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

One image of two folio pages side by side, registered by the library under both labels (also fol. 15r); this page is its left half.

The machine reads it as

  1. 1on48
  2. 21
  3. 18
  4. 54 +50 = 9
  5. log +120 - 144 +21, 135
  6. Gromon ) 372 = 6 +2,
  7. Gromon
  8. H Horum antum dffeventins
  9. deficiemus, prictis 1, 1.
  10. 1
  11. 10
  12. 31Z21
  13. Aqui linea tnossi adsinprmulat
  14. nec, characteles in itiso qua
  15. elisi et dubii erant neque his
  16. omon cum numeris converit
  17. E ut viprioribus +)
  18. 2+A, o )
  19. 45 + 90 - 30 4 2, 215
  20. F+F= R
  21. 19 +16 - 29-
  22. 36+3642
  23. 60+6456 +51
  24. 6+ 5 - 23713, 1
  25. 36+20= 46+13, 24
  26. 59+ 13, 103
  27. 90 - gut 17 172
  28. 20 10,
  29. 21 32 40 10, 24
  30. 00
  31. 50 160 80 10, 2b
  32. 7 15 27 167
  33. 21
  34. 60
  35. 42 135
  36. 70 290 184. 16 287
  37. y
  38. 55
  39. 18 764
  40. u
  41. d
  42. 18130-18
  43. 30+56 -2
  44. Gmomon n 6+ 4 -14+5, 1
  45. 64 = 32
  46. 1074 13
  47. omnium coitimo formabuntur solida per snomones superadditos uno semper
  48. angulo vacuo existente, ac deinde totau friguram resolvi posse in trrangula Uno esanle
  49. agnoscitur omnium polygonatium pondera rateri ex ultoplicatione Sirgonatium per
  50. numeres 213(4)5. 6 eit. et ex producto si rollantur 1. R) 3)4 radues erc. Ut Tetra-
  51. ponalis pondus fit ex LZ+ L2 per 2. fit 2 AB+ 2 2 inde siblata 12 fit 13.
  52. itempeo t3 ex producto Tollendo Z fit pondus peutago patium eti
  53. quinque corpora regularius sugalunter, ut per se spectantunr formantur per additamentum
  54. gnomonis ut superficies peraniformatae
  55. fetractionates
  56. FLR + A, 0
  57. octredionales Eicoscedion Tubici
  58. F-
  59. A+A, 0
  60. F A A, 0 FRAO
  61. dedecedion.
  62. EM
  63. 4- 4 + 1, 1 15 20+6, 1 3-371, 1 9 - 1)
  64. q 1 = 8+ 1, 6 4r -to 15, 12 1206+118 25 -36+ 10, 2.
  65. 6 = 0 +0, 10 24 - 124 1, 19 90-604648 27 -9 41, 27 108-54+10, 84
  66. 10-040, 20 40 - 16+1, 44 150 -80 (6, 124 48 - 12+1,64 198 -72 410, 220
  67. dita etiam po lygonale regulanter fieri deben R. A, 0) R- A, o (R. R, v) A- A, 0
  68. quode figuris istas ut
  69. mensurabiles tunc unitares omnes intelli-
  70. zerentur esse ejusdem rationis a figurae ipsae
  71. -0y
  72. 2- 0, 3
  73. 420 30
  74. 2 = 17
  75. 4- 1, 4
  76. 3-31
  77. -3, 15
  78. - 1, 18 212 2 12 16-3, 28
  79. nempe in Triangulas unitates triungulares pentagona metiantur per unitatem
  80. pentagonam ete tunc etdem esset proportio plam radiem, quo est quadiati ad suam
  81. radicem, et socidi quae est cnti,ut si radix sit 3. planum eri 9 solidum 27 etc. Vin
  82. quod etiam ualet in ciumo et sphaera aliisque omnibus
  83. si enim uns
  84. arculirirum ferentia sit triplo major altera sejusdem area contrnebis
  85. novies, unde animadveltis has progoestiones nostrae matheseo
  86. Y. 3. YG erc non esse alligatis figuri cmetstquadrati cubissed
  87. corporis quod consta hexagonis et 4 Triangulis latera, sunt 18 anguli 12, facies g.
  88. inptur tujus Gromoa constat hexcrgorix et tribus triangulx faciebus minus sex radicibus, Y2 angulis
  89. qued conste et triangulis et 6 quadratis facies sunt , 1anguli
  90. dices rs et sujus gnomon constato friangulis et 4 quadrabis faciebus
  91. igradiciou, +sargulis
  92. corporis quod constates triangulis et quadratis faciebus lalera sunt 36.
  93. anguli 24 et facies 14. eujus gnomon conpat 6 tiangulis, et 4
  94. quadratis facrebus - 14 radicibus + 5 angulis
  95. Corporis quod constat 8t hexagorix et 6quadratis faciebus, latera sunt 36
  96. anguli 24 et faiies 14 hujus gnomon habet 6 hexagonas et 5 quadratas facres
  97. minus 23 radices, + 13 angulos.
  98. corporis quod consut hebriungbis 6 quadaris facebus e, 6triangulit
  99. ctangulis faciebus latera 36. anguli 29. facies 19. hujus a habe Gnomen hace
  100. vorogonas et 7 trimugnenres facies minus radires eo, gans angulos,0.
  101. orporis quod contat 18, vadratis et 8 friangalis latera sund, laterlat
  102. C7 tianus ilis faciebus - 37 radicibus lus 16 aorgulis
  103. x
  104. Corpus ex 2o triangulis et, 2 pentagonis latera 60 anguli 20. Et tuinis grdna
  105. haber as erimoguea et 10 pentaronas facies, mnujus radices 98 per, 20 anguis
  106. generiliter per illas diversas mensurae species designari
  107. =
  108. 32 270 418

Cite

Leibniz-Handschriften zur Philosophie LH 4, 1, 4b, fol. 1v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068695:0002?run=74