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Leibniz-Handschriften zur Mathematik LH 35, 12, 2, fol. 155r

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: 0.80.

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. 156v); this page is its right half.

The machine reads it as

  1. Figurae similes sunt ut quadrata plimetrorum, sunt enim, ut qua–
  2. drata homologorum labum.
  3. age AGE
  4. se
  5. H
  6. ab = 2ac
  7. = 2C
  8. AGEF) BGE(E 5 RGE _EHF VAG Bage
  9. CHFS DHF(2
  10. ( BGE (3EDHF
  11. Ergoquage - c33 Ergo age Bbge
  12. Obge _ dhf
  13. H bge
  14. ae
  15. H ahf (L2)+
  16. 1d3f (360) 31 3en
  17. Scht, ofif Ergo Radices seupehrimeti age -2
  18. cupponatur ess Ari angulia Homocoptolon cum paracila age, esse 4.
  19. chf E43.
  20. supponatur ergo Trianguli efh homoeoptoti cum semipara bola age. ambitus esse
  21. 3 Rg
  22. cab = abd.
  23. asc
  24. cb bd
  25. ae = ed
  26. punctum ocaisus
  27. gravitatis
  28. erit semiparabolae ambitus 2. a quo si auferantur cognita
  29. nobis: ae, + eg. residuum erit sempar parabolica a4
  30. a0. et ce
  31. moce t
  32. fignue.
  33. B abC = a Gd
  34. e centra gratiies
  35. Brevis: AGE 4
  36. CHF CHBHC
  37. Bc3F
  38. Dager
  39. Bd5s
  40. Bage
  41. BChF
  42. 4bge
  43. obge
  44. H
  45. age eon-L
  46. bgc
  47. CHF DDagB, DHF hage Bbge eage
  48. 1
  49. E. OchF
  50. abge
  51. atum ab lisecat P. t et c ilidem et dq atidem t duunt rectae exanguls in dimiam labisoppositi
  52. Chrevigi scimus quomodor sit AGE ad BGE. datis enim AG. Gi er i
  53. 4d3f
  54. vel B(, E bg 59. quadrari possunt parabolae. Sunt autem eae semiparabole,
  55. similes.
  56. al) AGE 2c3 eHF) auo
  57. 1n) BGE B+Sf DHF.
  58. AGE + Dch]
  59. BGE +B dhf
  60. AGC + D C3f
  61. Eage
  62. BC3F
  63. vage
  64. GE 0, V age
  65. ge BGE B
  66. AchF Hage
  67. BGE+ (D5] Edhf D BbgC
  68. _bge (2GC +D chf Bd sit
  69. CHF _ Of chf
  70. figuranta.
  71. tbge.
  72. Vage (EHE DHF
  73. bge.
  74. AG5
  75. Dtge
  76. CHF Hage Btge
  77. a
  78. AG5
  79. BGE
  80. Bf E1dhf
  81. AGE = BG
  82. CHF DHF
  83. semi purabolamat. Dmai E spmai. BBimam C BGE
  84. se minor
  85. Tmin. spitim o ni crage toge
  86. Ambilus. Pma. = Aut Y ma
  87. in omni tiligao rectangtosia
  88. amoitus dulatur
  89. nate Evertitur
  90. CHF ~ 1
  91. El age AChf Dbge Daye _dhs Page
  92. BG2
  93. DHF
  94. labis ectaram subtendentium seu laterum producetur summa figurae. Hoc verum reperimus
  95. in oun Triangulis; in Polygonis, in cinculo quadrante circuli. Idem et
  96. in Semparabola. Adeo ut hoc de B. quoque verum sit. Idem verum estion Ellipse
  97. ed in seminiato haereo
  98. erportionalis inter gemumis diamctio cllissis
  99. planae,
  100. cHF vage eut ebgC
  101. Bage H bge Aage BChf LogC H33f
  102. M
  103. Ostendendum est hoc loco
  104. uet est fgura ad figuram
  105. ita esse quadcata peri
  106. metrorum
  107. dissimilem quidem homoseneam

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 2, fol. 155r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068195:0309?run=74