# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068198:0182 # Permalink to this reading: https://leibnizlegible.com/page/00068198:0182?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b # Folio 91v, page id 00068198:0182 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068198&page=182 # Source image: https://digitale-sammlungen.gwlb.de/content/00068198/jpgs/default/00000182.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 94 lines, status machine # Lines: 94 recognised, mean confidence 0.59 # 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. Eoc Z2 11a + a VE1. 11. -4. 12. 250)) ua + a L(11. 1 - 4. 12. 260) 2502. 150 2. 160 d un na = a ((u. 1 - 4. 17. 250) ua ta Lrm - 4. 2. 270 2. 150 2. 170 ut contrahamus facilius calculum 11. 11 - 4. 12. 250 aequemus quadrata 41. 4Y et fiet . 4. 12. 250 = 11. 11- 41. 41 et si 11+ 41, 160 = 11. 150 + 150 sum CA - (11. 11 - 41, 260. 250)5 en (11+ 41)160. , - 11. 150) 250 = seu 11. 160.250 +41. 160. 250 = n. 150. 250 = 150Y (+111. 258, + 41.250. 260) jam 160-150 = 13oC et. et 250-269 = 30C. Et fiet 1. 160 240 11. 308 150 (11. 11. 30. 2592 + 41250. 260 et utrobique quadrando 1I. II.250260 256, 41. 168. au + 112. 307C - 2. 11. 30. 41. 160.1 NC1C 13 30. 150EsdC + a12. 1507250 260 a Exaeq. 5 fiet 11. 170 - 41. 178 = 1. 150 = (1. 11 - 1 1 - a1. 41) = (+ 11. n. 23 et quia 170 = 150 = = 30h et 250 = 2) = 3oh fiet ( -4. 170. 250 - 11. 20, 250h = H1. 11. 30. 250C + 41. 41. 210. 270aa). Et quadrando, 258, 41. 1700a + 11. 30kh. 7 2. 11. 30. 41. 170ah 11. 11. 30. 150 atr. + 41. 41. 150 270aa, 250). Res omnis ergo redacta est ad aequationes 7 et 8; 160 = 10’ a - 2. 10a ht Mm 170 = 18’ aa - 2. 10an + nn. sit nn = mne s in in men sit p et men sitr mmtunritaque mm-nn erit pr e. Hinc ab . 7 subtratendo aequatiorm BB 1 160 - R 170 = - 30p 168 - 170 GpI -210ap 260 - 170 = 30p o-h = -p e+h = 21 + N=1 ee- hR = Ca- p, 2+Y eeihs sed haec in quibus nulla Eo) ag. 7. adverdo aeq. 8 fit 250, 41 aa (2. 10 - 210a H + ag) + 11. 30 ar B2 1. 30 4 a( bal eeth= a d aromm Sed fortasse prrestat retneri aequationes 7 et 8, ex exe ambabue earum qualibet et inveniri 41 :1 Ex aeg. Aigod 7. fit ordinando + 250. 160 41. 4aa - 2. 10. 250. 160(4) a + 30.250C80 150,260 I1. 11 - 30. 150 aC 250.165 - 155. 260 eogone axt abx + a bX + C ad Xx X + CF0 fit aaX X 4 abX 1bb - bb C - b = Y(1b -ac seu ax = b + sibb - aC) thon et X = bd sora isprenti. +160. 250- 1023-12 +10 phola 30 Tmm 150. 260- -1 3a + 3. 1. 30a l- 1030 all -1. 18. 30am + 2.10. 30 alm 2um E e En e e e 12 ut E e E i EE E +3 e en X N e ex S n E X5 et i = T et eF F 1 e edd pe e 2 N . + d X 5 1) e e de a asu atu SH a 5 E X 3 p