# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1066520976:0239
# Permalink to this reading: https://leibnizlegible.com/page/1066520976:0239?run=74
# Title: Francisci Dulaurens Specimina Mathematica Duobus Libris Comprehensa (shelfmark Leibn. Marg. 134)
# Folio 219, page id 1066520976:0239
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1066520976&page=239
# Source image: https://digitale-sammlungen.gwlb.de/content/1066520976/jpgs/default/00000239.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 28 lines, status machine
# Lines: 28 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.

LTBER II. CAPUT IV.
F X E MEPL UML IN NTUM ERTS.
EAto - + a+ - 323 - 1a2 - 18FIO. Per HAnC reGULAM AE
1y3- 7y7- + 727 - 234TI0, CAque- L y TI - + 3, Quod arguie
propolitam aquationem e duabus bimensis aequationi-
buSCOMPOLITA CAC, HAM juXTA REBUIX PTXCEPEuI Ope.
rando haberur
+ a = +4 - +3110, _ - + a 2 = 2a 6T10, gua duX Xqua-
tiones incer se mulciplicata propolitam aequationem
+a+ - 3a3- +a 2 18LLO FestIELUNE.
REODLA VTTT EY UL XLMA ABTEORFS.
Propolira qualiber aequarione quadrimensa, secundo
termino carence, nimirum t at. ga. ra. (MIo, Quarendus
eAt ralor hujus aequarionis. +y3- 199 gy - = 9y + 5rF10.
E X E NL P L U AE X N NY UN ER FS.
F.so uE in 22 regula- + a+ - ta  - 2a TTIO. Per hanC
regulam FIC - L y3 - : gy- + 2y = , T10, vel FaCtO C FHy OFIEUF
1. C3- 502- + 8e- 16110, X HC t et I + 4, XL CON(CQUENEEF
FyTI - + F, quod arguir proposicam aquationem + a+
-1a 2 -24 - 1HLoC duabus bimensis aequationibus Com-
posicam esse.
Primis quinque Regulis, ab Auchoribus, quosnomi-
pari, inventis duas sequences addere placuie, uE quX-
liber equario quadrimensa, quocumque tandem modo
sese habeac, Catim, et ab sque ulla preparatione ad rer.
rium gradum deprimi possic. Omnes aucem he Regulx.
Sulcimam excipias, ab eodem invencionis tonre protu-
E C 1