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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 237r

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: 0.77.

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. 236v); this page is its right half.

The machine reads it as

  1. ia r
  2. adt prax (ax
  3. positor ax constante Ergo
  4. sado p
  5. 1
  6. Radius ACBY. AX FX.
  7. KE
  8. XEHγ. Fpd
  9. A
  10. DE dy. FEF da
  11. Arcys CEHa. (5LAngensarcue CE
  12. tangen arcuscoplementi p D
  13. +1 CTF, E5, tangens acys CE.
  14. DZBB E0 tangerarcus cyptti EB.
  15. spsecans AS+, AY
  16. 66 psecens conpl. A6VH AV.
  17. ACL Honresci tangens semiaru
  18. BN H A tangens semiarer copletnti
  19. CMpi m.
  20. C(nH p.
  21. Nonacalculum instituems fautem
  22. per Trigonometriam indivisibiliu
  23. ubi prae monueriam, esse L
  24. LEp CL. UCM CX
  25. BM= Bk
  26. SA( ATBAF S. quia Ia A3G,
  27. simiia et unum habeut latus idem AC, es sl.
  28. Ergo erdem modo 860 L + AB AOV 6V
  29. un calculum per Trigonometriam indiosibilm
  30. instituemus. Ergo
  31. se
  32. Nine Tiangulorum similium latera proportionalia ordinemus: 52s + A et 60 B+ C.
  33. Ax V + or
  34. dy X Y
  35. ta Y. S. 60
  36. YX )
  37. n
  38. l
  39. e ry
  40. +
  41. I SAS+
  42. AB Cor dinata cyroidis
  43. 00 nA6
  44. ∞- S.X X
  45. s + + B, 500 7b +
  46. rx es-
  47. Y+ X B
  48. appercanda ad axem
  49. seu ad ax.
  50. AXX Xdx B y dy. Ergo x quia crescentibus G st q V- y scribendum Y-y. quia uno ipso
  51. A3Ep X. crescente decrescet y. inde aliquando pro X. substiluemus 1-Z. ponendo Z CX quod et semper
  52. et sax pss x. BY
  53. Ergo apiis ex
  54. alias in tali casus observandum, ut cum opus faciam, utiamque indeterminatam simul
  55. crescere. d
  56. haneus ad basin seu tingena cobabnt
  57. yda e ∞X
  58. Eodemque modo Exda ariturry
  59. ex y Ergo rax H da y. Ergo dmonentm curvae ex axi h
  60. da ur. ∞
  61. dx +. Ergo s
  62. ida H)
  63. du. B. Ergo Sovdu 6 (B da
  64. dahor
  65. nom. curvae ex tusi sevax + syd
  66. Pax (7 + da. Ergo ) Sax 1 A da
  67. Hyperb.
  68. tanqu e curvao insister H sclu
  69. dy- x Asyd
  70. se Saxr (xda seoda syda (B du
  71. axt
  72. Hypert. tang. qul curo insissens
  73. . Ergo OV a. Ergo (ov ax B ra. Eodem modo S sdqe Bra 1 sita- xda
  74. tu n
  75. dx F
  76. VL X
  77. Secn compl
  78. ad axem
  79. socans ad bosin ( Seca H+ dus sed nihil
  80. Ady Y) ra - YX) hinc novi.
  81. Ex his jam facile inveniemus quadraturum conchoidis seu Tangntes adaxim, seu tangentes
  82. da
  83. complementi ad basin
  84. dx dy. da. ex
  85. Eodem modo
  86. y
  87. Nam
  88. Sa A Ergo Restat novissima comparatio inter
  89. S. 0 ++B. Nimirum dx
  90. +
  91. S. Ergo da Bst dx +) bdx
  92. da IIF+ B
  93. 37
  94. Sa da H S ux SB du + S+ ay seu amddus , rdx
  95. Est aitem sd ax a Novi adhuc instituendi culculi hoc modo:
  96. ex B da. Ergo Sax a H Z et S+ dus
  97. quaeritur er
  98. 14
  99. ced
  100. d
  101. sey
  102. sux B YX
  103. F saq B Y X
  104. ib 6 da. et habebimus da , SAdys, YX. Est autem da2
  105. e mandtasten . et
  106. a
  107. Taer-X
  108. videquae ostrips.
  109. figum
  110. s

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 237r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0469?run=74