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# Title: Teutsche Algebra/ Oder Algebraische Rechenkunst/ zusamt ihrem Gebrauch (shelfmarks Leibn. Marg. 88, Stück 1; Leibn. Marg. 88)
# Folio 165, page id 827658990:0187
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=827658990&page=187
# Source image: https://digitale-sammlungen.gwlb.de/content/827658990/jpgs/default/00000187.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine
# Lines: 35 recognised, mean confidence 0.79
# 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.

LXGRR
LsCk
4 +.5.t6.t
echentunst.
Resciert noch der andere Fahl diser Dufgabinaml
2- 4RZZ LGRRZ R= =0.
Der andere rerminus Der squation werde ausgele
=T=R - - X
E
RR - =RX L XX
R = = RRX I ARXX -X
Oubstitution
R - = RR∞. Y ARXX-- X
= 4R 22 = - - + R F 32 RRX ARXX
 FSRRRZ =  2 R =  GRRX
=RRR = = R
. . . . . = = 22 RRR F = RRX (X) =XXX. =-0.
XXX =RRR - 2RRR =0
BanMR =einex uniret, (O stehet Die gefundene 9
tional D. XXX  =X 25 L 0.
Weilen Der cubus Des Z Der betauten quantitet Des at
derm cermini Fleiner ist alB das quadrat der halben quar
titet des Dritten termini, (o maq Die Resolution durc die
Criscetion nicht geschehen: Webhalben die Parabola du
Ganden genommen verdenmup.
AB inder Dufgab ist =R velches algie ciruniter ist.
6-
Ichlage x = cb.
Dan
BA = P
Cnamlic die E Beante quantitet Des 2 termini
BC Z
odm
Dic = quantilet Des3 termini.
8