# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068007:0012 # Permalink to this reading: https://leibnizlegible.com/page/00068007:0012?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 4, 10 # Folio 6v, page id 00068007:0012 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 7r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068007&page=12 # Source image: https://digitale-sammlungen.gwlb.de/content/00068007/jpgs/default/00000012.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 109 lines, status machine # Lines: 109 recognised, mean confidence 0.84 # Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. # Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text. # Wording rule: say "the machine reads it as …", never "Leibniz wrote". # After the first blank line: the recognised lines in reading order, one per line. Octava seu ultima vicestabit sic 90 + 91 X 10d pe. 8091 = 100. 91 + 101 . 90 seu 90.91 = 100.91 + 81 90. 9 = 92.90 o. B1. 91 = 109,91 + 102. 90 _son 81. 95 = 101. 91 4 82. 90. nes 8+ 91 = 102.9 Residuns valor ea septima seu penultima Vice:) 91. 101 = 81. 91 - 82.90 Dividendus 70 + 71X +72 X +73X divisor 80 + 81 x +B2X 90+ 91X 70. B2- 9u.88 1 91. 8 Aequa 70. 82= 90. 82 + 91. 81 +92. 80 tio- 71. 82 = 91. 82 + 92. 81 + 93. 80 nes 72. 81~ 92. 82 + 93. 81 73, 82 investigatio valorum, ce 93 = 73. Ex 2e15 fit 92. 92 = 72. 92 - 73. 81 Ex I5 fit 71. 82= 91. 82 + 12. 81. 82- 73. 812+ 73. 80. 82 sen 8E. 91 = 71. 85- 72. 81. 82+ G. 8. est Exaeq.1 tt 5t ve Et ex 4, p. s, 6, 8, fit 20. B2 = 9082 + 71. 81- 72. 81. 52 +73. 8] Hatum vatorum a 33. 50818 +72. 80. 82 - 73. 50. 81. 82 Hi valores praeter altimum realrs Valores B = 23 ex praecedentibus, promotis literis transcribi possunt. Ponelio haoecest: inpruantur sinistre anguntur unitate; quia p 92. 92 = 72. 82 - 73.81 8591 = 71. 81- 72. 8182 +73. 81. 81 - 73. 80. 82 8290 = 70. 82- 71. 81. 82+12. 81. 82 -73. 81 - 72. 80. 82 +273. 80.51. 82 sexta seu antepenultima vice dividendus 60 +6IX+ 62 X +63 X2+64X divisor 70+71X + 72X +I3X Residuus So+BIXEBIX e .60, 73 = 80. 73 + 81. 7 2+82. 71+ 83. 70 51. 73= 81. 73+ 82. 72 +83.71 + 84. 7 62. 93(282. 75+ 83. 72+84. 71 63. 736183. 75+ 84 22 64. 73 = 84. 75 Ex aeg. 1. fit 84 = 64 ex aeq. 2 perbfit 63. B = 83. B + 64. 72 seu 473. 83 = 68. 63. 73. 67. 72 investigatio valorum e ex Ex aeq. 4. 758) = 61. 73 - 62. 82. 73 +62, 72. 7 = 4. 43 -63. 71. 13 +269. 71. X. 13 Tandem ex 2p. 5 8050. 23 = 80. 72+61. 73. 72 ek + 62.75. 71 etc. + 63.73. 33270 per valarem penulluu calculi praecedentis vel per 6, 3140 per 9, f10. I. seu 73380 = 60. 73( -61. 72. 733 162. 72.75 63. 12.73 + 64. 72 seu 13. 80 =60. 3 - 61 .12. 73+52. 12. 75 - 6318. 17 164. 72 84 = 64 -62.71. 132 ., 1. 7275- 364 21.72. 73 63. 20.75 +64. 71.75 Valones ergo Valores ergo 73. 83 = 63. 73 -64. 72 73. 82 = 62. 75 - 63. 72. 73 +64. 72. 72 -64. 71. 73 +63. 71.72. 13 2. 64. 71.71.13 = 62.71. 157 +6371.72.73 -64. 71. 72. 13 73.91 = 61. 73 - 62. 72.75 +63. 72.73 - 64.72 +64. 21. 73 - 63. 71. 73 +2.69. )1. 72. 73 - - 63. 70. 5 jn eadem vatorum serie, cujus vis vuboris termiri multiplicati per eandem, hoc loco 13. insunt sequenti. sed sequens aliquid preterea habet. 79.80 =60.13- 61. 72. 75+62. 7775 - 63, 75.93 464. 75 - 62. 71753 42. 63. 71. 72.73 3.64. 71. 72.73 - 63, 70. 737 +64. 712. 731 Valores hujus calculi sumuntur ex Tabula explicationum ipsarum notarum possitulio cambinalone 20; 21; 22; 28, etc per B. 21 - 11. 20;110. 2E - 12. 20; 10. 23 - 13, 20; 10. 24- 14. 20 ete. sed Motatis taatum ciphris sinstris, quae in Tabula ab initio versus magis composita semper manent eedem et nesemt nempe _1 et 2. Hic vero sunt modo 9 et 8, modo 8 et7, modo y et b, etc. q conferntur ita ut grespende at ipsi 1, et 8 ipsi 2. vel B ipsi 1, et 7 ipsi 2; et ita porro. quae adscutsimus ad Tabulam divisionum. Nam quotientes et Residuit sinatatis tantum dicto modo stendimus autem optersum autem est ibi, quomod imen sine Tabula, et calculo extemporanpa ratione possint esti . e buloe tas coincidgu ser ad rabulam, qvoluodo ex secitu. me Etus esihysa asdnitor seu BVu Dividetdus 30 + 8IX + B2 X Inghesiduns sevu Divisor 8ru Reliduus sic fit in datis Nempe exterie valorum praecedentium tantur alorssequentis demed uttimo si dextrae cidirae Nodu st omnes combinatione cone– incutes ex A6 non adest 6l. 21.tB la baci io +calculo i alores implicit Seu calulo ntracto 95. 100 = 80. 91 - 81. 90,91 +82. 90 Et cob 100 quaeruntur 100, et 102