# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068200:0348
# Permalink to this reading: https://leibnizlegible.com/page/00068200:0348?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 3 (shelfmark LH 13, 3)
# Folio 173v, page id 00068200:0348
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 176r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068200&page=348
# Source image: https://digitale-sammlungen.gwlb.de/content/00068200/jpgs/default/00000348.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine
# Lines: 36 recognised, mean confidence 0.90
# 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.

excoritanda crat, quamque ex principiis tam generalibus deduxi,
uc nitillam respuat cranscendentis speciem, vel maxime composicam.
Acque hujus ope Circuli ex Hyperbolae Ouadracura Franscenden.
tes, Dari Facilitate, qua aliarum Pisurarum Quadracurae Alsebraicx
inreniuntur. In eo camen praelertim nitet non contemmenda Mo.
chodi nostrae praestancia, quod uno calculo infinitarum Figurarum
Ouadracuras absolvac: F.E quia inFNIEX sUNE FISUITX, QuarM ArCK
cum simplicioribus comparari pollunt, oltendam quo pacto com-
paranda sic quaeliber Fisura daca cum simplicistima ejuidem gene.
ris Fisura: Inde Theoremata sereralia deduco, quibus Ouadra.
curae particulares absque omni computationis molestra inremuneur.
L. P M ML
Fis. F. Sint dua CurVa FOTI, ACS ita inter se relatae, ut ducta PC per-
pendiculari ad quodvis Curvae punctum C, sit intercepta PM aegna-
lis lineae MC, quae est ordinatim applicata alterius Curva ACS ad
axem communem AD; erit dimidium duadrati ordinatae GM in
Curva FOTI, aequalis Areae Curvilineae AMC, rectis AMI, HC
ex curva altera RC comprebensae, id est ZGNIg- ANC. Demon.
stratur hoc Theorema in Lectionibus Geomerricis D. D. BaEFON.
Corol. THrenire Ouadraturam Arex cujutris Currilinex AMC.
L idem est, acque aliam Ccurram PCHI invenire, cujus in-
terCePCA PMI sc aequalis ordinatim applicacx MIC in Figura Mua-
dranda AMIC. Cujus pulcherrimi Problematis solurionem dabo
facilem et generalem, quoniam ex hoc cora nostra Merhodus de
Dendet.
1.
e RO+
Data expressione Analytica interceptae PM, aequationem invenire, quae
Curvae istius FCI naturam definiai.
TT communis veriulquo Currae abscissa ANI y, ordinacim
 applicaca OMI= N, C MC 1∞, _ (a) quancicas daca ex de.
terminata, Oniearis Locum supplens, ad efficiendos (E opus Fue-
ric) omnes terminos aequalium dimentionum. Solutio: Reducatur
expressio AnalVICA INECFCCDEK PMI (sOu MIC) ad Formam simpli-
cilsimam, liborando terminum r, quancum heri porest, à bonis
Radicalibus.