# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/827658990:0129 # Permalink to this reading: https://leibnizlegible.com/page/827658990:0129?run=74 # Title: Teutsche Algebra/ Oder Algebraische Rechenkunst/ zusamt ihrem Gebrauch (shelfmarks Leibn. Marg. 88, Stück 1; Leibn. Marg. 88) # Folio 119, page id 827658990:0129 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=827658990&page=129 # Source image: https://digitale-sammlungen.gwlb.de/content/827658990/jpgs/default/00000129.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 51 lines, status machine # Lines: 51 recognised, mean confidence 0.78 # 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. Rechentumst. 5, 48 5,49 42 X5O 43X 5 30X2 42 4 A.t Ouv2 58 seye 10 - +I XI (0)2 12 6)2 2X3 L C, 2Y C=56 6 52 BC = 42OC 53 BC = 420) aCXDF 54 2D 1 2F-98 s5 2B+ 2FI.98C demumtreiB. 56 9 2B, 1 2II.98) WBelchesdann zufinden vac Dren SSposcelische Friangel finden ) Die ztout ungeleic) Probl 27+3 gestaltetsaber einen geleichen umtreip uno arcana habent B auch ibre seiten uno sentellinien sich gusammen halten, vie eine rational- ZaGlzu der andern Dievorige Figur verde aulhie miderholet. F=aa - + bb) d = 22b ZuB einer vorgehnden Nufgab in weleh er E = aa bbertorvert worden) einen rechtmintligen h= kk. F dd) Friangel finden dessen all 3. seiten ratio b= 2kd und ungebrochen verden. =kk- dd F+ d. = - 2a F 22b. L bb h Fb= =kk 1 2kd. t dd a2 t. 2ab. F bb==ti k. 1 2bd t dd. Ldubet augab. 10). 2 t b IF a Z = k 12 b. F X = d =K . + d 13) aa 2aX t XX = - KK 24 bb + 2bX L XX =- ad 15) de = 2 ddab - 2 2bb6 340n