# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/827658990:0200 # Permalink to this reading: https://leibnizlegible.com/page/827658990:0200?run=74 # Title: Teutsche Algebra/ Oder Algebraische Rechenkunst/ zusamt ihrem Gebrauch (shelfmarks Leibn. Marg. 88, Stück 1; Leibn. Marg. 88) # Folio 178, page id 827658990:0200 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=827658990&page=200 # Source image: https://digitale-sammlungen.gwlb.de/content/827658990/jpgs/default/00000200.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 43 lines, status machine # Lines: 43 recognised, mean confidence 0.80 # 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. 8 Elgebraische 2~.D. (3 tr 14000C+40000005000000 ZUWS. (4 C+ 2000== F V500000O t 2000 5 T= =15000000-- 2000 J 2000.6 T =V5000000--2000 5. 5. 7 T= 236(07= bdtagCnL. BF. 13: 1 8 1=- 4236507-b0- tansenrier (103: 17. etp Sebrauch inder Aisection der Bint Da8 Theorema tur Zriplation Der tangenten Dienen DesHehet al(O. LEE 3DE- 3RREL RRD=0 Dann ben so Beschasfener A quation das productder Detanten quantitet des andernuno Drittencermini, neun. mal so vilist alB die betante quantitet des vierten cermini, se ist solche form bequem Durch die Zriplationo- Theore- maca aufgelopt zumerden; namlich aub gegebener tangen. ten destriplierten bogens, Dic tangentem des einfachenbo- gens gufinden. Cosene 3D = 3000 3RR = 3000000 IRR= 100000O (D== 1000 gRRD 900000000O)RRD==1O0000000O T also gRRD =9000000000neummat (O vil alB RRD = 1000000000. QBiro Giemit Die Aquation also tehen icum 300O11- 30000001+1000000000. 0 D = bc=Der tangenten Der triplier. bF =bI F= bns tenbogen (bC= 45 grad bde = 225 gra bd8be= 405 (bd- = 15 angenten dertrise Lbk=7 cierten bogen. (bkhi-