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Leibniz-Handschriften zur Mathematik LH 35, 2, 1, fol. 108v

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: 0.73.

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. 107r); this page is its left half.

The machine reads it as

  1. TL, AT ax BZ
  2. aqp 1. nilin AFCA
  3. ALF 1. 2
  4. qu’a gaX 1 ax 4.
  5. sivtb
  6. ni 49ae B
  7. x 2aX + 9XB y hyc pat fa set p L. Brax fax
  8. e tp 1ax +4 1
  9. ax + X F BB, et ax
  10. nera da a + a x a fax
  11. iseu AT 3 AB
  12. sn enculo Ellipsi et Hyperbolu A4 es
  13. . Eyo AE Ad. a ta2
  14. 3 +b, ut ctutus rectum est ad BC
  15. rax +a Z eq aex
  16. Z cur arto
  17. raz + 4 pq. et Xp 292
  18. a) + 2Z
  19. ca +a r H2
  20. 193 a hopari et et
  21. 2 + 32 + +. Z + gu 2 etL sX. senspatium A ATCA eris
  22. AFCA 2 4, ; 2.
  23. 2 o etc.
  24. si puntur nqu
  25. spatio diviso per q. et
  26. esito aquero. bic. A7,2 + 2+ Ee
  27. BB 4. 7 X. ejus quad q f 2gX + s. addatur ad BC p rax + a
  28. et sputium N tinnus DBep 4 + X, y A AF, 4 a x et puto gendialiter F L aequ. Al. AY
  29. ax ytive 44 1 8B
  30. 7+no ilic pulpua
  31. =AL + AF Hy,
  32. eroputa
  33. 9+ et Triangulum CL TB qATX
  34. arfecaterea trimu Ergo homus Ct AB CYA CL p H
  35. seu DELA , s Y A T.A
  36. 9 +x + 4
  37. eA En 14 ax H GAY CTAB AN AT, a
  38. cui trapezium AB DA CTDH 4 AE, Cq
  39. nam in
  40. + AL + A7
  41. 1 + 47 + ga x + ax
  42. et pro q u prandoci ontactit fia r2, 4 un ( a (f jat B 2d. et
  43. AZ fci 7L,, 947
  44. Tuimnus. C7A, A7
  45. A
  46. DA componendum est hapeziui BAC7 modo qui Elliesi et Hyperbolae sit communis
  47. ut sallem signis differant Imogam video non id agi ut hapez jam eodet componuti
  48. imodo sed ut sector D ADCA cope Tilinei DAC.
  49. Triangulo BAL in _ Ellipsi addem subtrahe in Hyperbola adde Triangulum DLY habelis hianus. DAY
  50. EAL. DAT. DCF. DAC. LCF == LAC. L CTAC. _ CTA. EBC. ABC
  51. EATR EAL 4G1Y ECT+ BAL -DA7 - CTL. Elips Derp + 68L + EA r 7C7
  52. vel explicando Ear fet: EC+ ( 89 + BD F EIF, crL 1 EL Y + orL
  53. EAC CND EBC + ABC,. DBC L ABC. d LACp FY AC + CL Y Ergo p, TAC + cL Y
  54. G proens Excerpamus has quantulates E17 EIt + EIF SCTC BLF CTI. Erex, Eoc_ + aBC
  55. _ (2 LAC ⊓ YAC A CLF.
  56. ergo Eat- Eruti
  57. nys qurar
  58. ) DC+ ELY -CEL clris EaC rLY + exC
  59. rir. 4+ 1. H
  60. P: seu sector ADEAH EAL + ATCA = cYL =
  61. IBALL nilim ATCA = C Y Z calips.
  62. quytit, GaX . ex pro ponendo valrem, fer . +, quar 4 ga X 9 at
  63. 4 +X 3 C
  64. ed t iguant 141 9
  65. DALe BA, AL., ne A L 3
  66. L 2Y. et EA L + 4)
  67. qux progredimur in Hyperbota seu per quia AD minor quam g.
  68. pro ABH t an Hyp. seu gax quaecndum seri muina majoive quam q. sed pates esse necessano
  69. miorem, quia q1) d et AD ri gar. ergo eAt mimi quam q Hinc jam uta
  70. X1 Dix 192.
  71. Zrinnu E AL = (m Elliis) YCFL
  72. 1+x 1
  73. AZB 2 ALp 23 at majis quomi se duo Ellgsi quamdio nuonm altao quad antem
  74. grax +qex + gaxr 24 ax + 19at
  75. encm esur, Afx fici
  76. dmidium
  77. t a Hyperbota + significat +. et + fignificat -. in Ellipsi contra
  78. qu B nagrtar
  79. tiet YLB a4X. et CTL, 9age
  80. EAL + _ CFLB
  81. A7 a
  82. hantar
  83. andi st anten Eat Bsq et. in A p 4. cn. H N 4 er et 2
  84. et quia
  85. er EAte
  86. t1
  87. agtar
  88. in Hyperbola: sector ABC Ap
  89. Trinus DAL + Tilin. ATCA 4 Friumus. CTL. S
  90. fdca uis
  91. 2y f gan , quax frga X g ax 1 92
  92. dat trapezum GATC, EAt H CYL hrgo Lseet ABCAB PX EBL + C7L ⊓
  93. et erit 8aL + CxL + trihi p 42 + rulim. ) a sector p) 32 + 2 + e sectori. dividatur sector
  94. ag
  95. per q. Erit: Sector 2 + Z +
  96. 3, + Z etc. ponendo aq H 2.
  97. Habemus ergo seationis cniglibes centrum habentis quadraturam generalem
  98. ABNX Y EFN3
  99. cue modum elegantem lati
  100. rectum independenter baliis
  101. di tangentes eu organice

Cite

Leibniz-Handschriften zur Mathematik LH 35, 2, 1, fol. 108v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 39). https://leibnizlegible.com/page/00067993:0216?run=39