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Leibniz-Handschriften zur Mathematik LH 35, 15, 5, fol. 76v

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: 0.83.

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. 77r); this page is its left half.

The machine reads it as

  1. Tabula Planetica ex Theoremate primo d Tabula initiali
  2. 005+ ∞D0 3 D5XipeZ 00Yipog SA pOBB ODZ APD X (DX , p OX CX+ pd E +p0D S (0DS+ DS(35 +0S+PO O P0DIOD+3D+ PO (O+
  3. -200D7 -2p07 - 2p015Y -2p0D0 -200D5 -2p08 -2p0D5 -2005 -2pOD
  4. (07) =(8)
  5. (000) = 95) =(00) (3) =(02) - ) -(0
  6. +b uMM abatb Valor OD hic nondum datur adeoque erit Xinilum desic in sequentibus si Valor non
  7. Namit calculatus
  8. O = atb. 2ab et D - ab. Facit 0D - ab +ab-24b - 0 qu. egle
  9. Ex praxi priore capio O = a +b- rab
  10. men Novitiu p. =Cc
  11. na c. ordine sequituo- 2p0- n 2ca
  12. ea nox sine Parentnesi sumemus pro novis suma (0) = (a) - Zab) +aub ) ad
  13. + p0 = ac 2bc - habe
  14. Suna B. Cabs - Efube
  15. OD -0 perN
  16. adtria Nomina suma (0D (abe) ad tria Nomm
  17. aementis Praxeos ac quatuor Nomina in qua praxi ipsum p. erit Nomen Novitium jam porrosequens seu
  18. O = a - 2ab +aabc
  19. D- ab -2abc.
  20. ad quatuor Comina +p 20 - p -2apa gabp - 8abc, P p0 - ap - 2ab, p + gabe, p +pd = ab p - 2abe 1
  21. e (C) =() =Zab) + aabe) Habed) -20D
  22. =E abC, P -206D = - 2 abc,
  23. per Theor. III. Theor. Il. Suma (D) = (ab). 2ubc) + 2abed) Suma (0D) = (abc) - Habet
  24. 7h. MI. Th. 11.
  25. D= ab -habe trabed
  26. ∞D -abc - 4ubedt
  27. Ih. M. Th. 1. dua - abid
  28. -20 = P - Eap + 4 ab p - 8 abe p A1babedp pC - ap Zab p + qabe p - 8abed p Ap D = ab, p- 2abi p trabid p 1p BD. abc, p. gabedo S0 -0
  29. = 0 Nomina (0) (a). hab) Fasube). sfebrd) tib cabruse) -2908 = nrabi p t Babed p - 29d- -rabe p t Baute Ep D60. pere
  30. Tecremata citantur uti in priore Prati (D) (ab). Yabe) +gabed) X. (OD abe) -Habed) + 1abede (8) fabed) -qeb d e (0V) -
  31. Sicut ob incipit ab abede ita porro P D. incipiet abcdef SOD erit abcdefus e Vabedefgh in Praxibus eo ascendesis
  32. OD = abc - 4 abed +10 abcde
  33. PRAX1S Oinvenitur D - ab- rabe t2abcd.
  34. ontinuando +pC = ap 2ab p + jabe p - Babcel, p H6abcdle P - pD = ab, p - 2 abc p + 2abed,
  35. P - abed - 4abcde. D-abedle
  36. + POD= abep- dabcdp 40 ab de tpoabidp
  37. 2pOD = 1 - rabc p +8abcd, p - 20 abcde, p - 2p dD = =2abc, p +8 abcd, p - 20 abcdle p - 2p028t =0. e
  38. (D. sabi). abe) + rabid) X -sebedes) (03). fab.). qabit) ro sabele) 20 abedet (0) (abeus). qute deseatu s
  39. 3). fabedef) per 2.
  40. IOD-abc - tabcd tuabede -20abedes
  41. eibed iidavcde) Ape =ap rade + qebip - Babcdp ti6abedep rabeles p pD- abp. Zabe p + fabid P
  42. S= abed - aabede A1o abro
  43. Aabedefp + pOD = abe p -gabed, p +abede p.- 2oateo
  44. -260D = , , - rabe p + Babe d P - 20 abe de p + qu abedesp) - 2p0D = - 2abc p + R abed, p - 20 a 1cdep +40 abrd efp - 2p0D 5 = 0 pera
  45. D) - (ab) - fabe) arabed) X - abeulet) t icdesue 9)) -sabe) -quoed) L iabide) Zeabides) + 3 alide (5) Labed) - fabede) o sabides) 2qu
  46. abede P H1rabides, p) tu sabioetqus)
  47. ad quinquae Nomm:
  48. res alid p balides p (3) alies (3D8) -abcdes
  49. abet abe au inub
  50. gabed prabed) - Sabus
  51. 50 8 oy
  52. ad sex Nomina:
  53. aito iad iectia
  54. rbaiies ed 50 d
  55. +abede- qude Hbabed.
  56. 9D. D Srabice
  57. ad VII. Nomina
  58. inuie
  59. Eoabidip qabide
  60. si oabdis tsgabidet
  61. Pro Scopo quidem nostro sufficit, in systemate haberi simplices modo Planetas sed quia
  62. culanda e
  63. am
  64. Nihil quidem dificultatis jam restat pro altiori continuatione
  65. Sed multa restant pro majori facilitate
  66. Cantecedentia
  67. Nam primo in unoquoque systemate repetuntur omnia systemata
  68. uti ipsa Collatio systematum patefacit, nec dubitandum ert idem porro futum
  69. Verbi gr. Systema octo Nominum repetet totum systema VHI Nominum.
  70. Nam Systema ad 8. Nomina valet pro omnibus Casibus
  71. Ergo etiam pro eo Casu ubi Octavum Nomen =0.
  72. Hujus vero Casus idem effectus est cum systemate Nominum additorum
  73. Quare si in Octavo systemate aliqua expungantur quae circa hunc Casum
  74. nihil facient, redire debet ipsum systenca. Nominum a sic in aliis
  75. secundo Quod in Novo systemate accedit, hoc solum est ultimum mebus
  76. Priora membra omnia redeunt ut in priore systemate proxime minai
  77. Ex Tabula igitur Planetica expungi possunt reliqua, et tantum ea retinea
  78. quae faciunt pro ultimo membro inveniendo
  79. Nam hactenu omnia membra pleno calculo invenimus etiam ea
  80. quae ex repetito priore systemate haberi poterant, labore valde superfluo
  81. Reformata, Tabula Planetica pro ultimo membro novi Systematis inveniendo
  82. 55055 (800) 8D180 18
  83. 0D5)85 (90Y, 5I 0D
  84. 201542. 20585 -20D89-2083 -20WX -26DX -20∞Y =CX -20288-2035I. 2009= 209 -20∞ - 20,(0. 207-
  85. =(4) (55) (850. ( 50) 180) - (80D) (7D)0) (8)) (00 -59) (02) (8) 105) -(D)
  86. usus hujus Tabulae:
  87. Primo Per quemlibet Planetam intelligatur saltem ultimum membrum ejus
  88. Planetae praxi proxima inventum
  89. Secundo, summa quae ultimum inventum praebet ad omnem Planetam
  90. litera apponatur, ut verbi gr. pro abc in novo inveto ponas abed
  91. pro abcde ponatur abcdef
  92. Id est quamprimu priori more valorem in Parenthesin includemus
  93. literam unan ei apponemus
  94. -200355- 2p008 -26010
  95. ad duo Nomina
  96. (904) (088)- (88
  97. ad triathomina
  98. Quae hic in Parenthesi invemcunturi
  99. es 0(0) - 0- 20)01 f 20D NV, 1
  100. 5)C (. 21) = 1 (0 9) _, :, 1 -20
  101. O =(a] 2 ab) + ( abC) D = d0- 2abc +habed
  102. g CCAXI5 O - a. 2ab. qabc. - Babet
  103. sm aaiu
  104. D abide -b abcdes.
  105. abcdp- 4abe de p roabidet p.
  106. 38 = qus pe

Cite

Leibniz-Handschriften zur Mathematik LH 35, 15, 5, fol. 76v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068207:0152?run=74