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# Title: Synopsis Geometrica (shelfmarks Leibn. Marg. 7,1; ZEN Leibn. Marg. 7,1)
# Folio 299, page id 797939695:0319
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797939695&page=319
# Source image: https://digitale-sammlungen.gwlb.de/content/797939695/jpgs/default/00000319.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 48 lines, status machine
# Lines: 48 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.

i8 COIB
Liie
UM a
i It
a P
_ lIm
Porto
Svelia
OM PC.
ATuS I
haec du
reloll.
F: li
Qua
igitur
lE, da
Gua
q1a.
12d 12
Geometrica
deatum NP, re L D ad L V3 vel NF;
concinet enim quadracum LM, vel LP.
quadraca L N ecNP; ergo à Primo
dd rlcimum quadratum CO est ad qua-
dratum N P, VEHI E ad N E; igicur F
PO est semiparabola; est auteim D AB ad
EHOre rectangului lub AB, A D, ad rC-
ctangulum (ub HCaC;id est, (ub media
HO de minore exrrema HIF, est enim
reAB, ad FI6, ita haec ad HI F; vnde, (1
reloluacur Colidum in quadraca AB, C, II,
decerit ad exlindricu ub quadraris AB,
et 10. 2d :5. A in quadeata AD, IIF crit
ad idem e, lindricum re 8. 2d 15. E in cc-
ctangula lob AB, AD, HI G, HI F de C. Ciera
quadracuram circuli definiri non potest
quamrationem habeac ad dictum cxlin-
dricum; nempe eAt ad FB A D rc 3. 2d
2. de hoc ad cylindricum sub bali qua-
drate FAB VF 2. dd 4. hoc vero ad cylin-
dricum sub quadrato A D vE XI. ad 14
proxime; led haec quoque ad a svrara.
6. Linca spiralis, seu Elix nalcieur
ex mor recto puncti a centro radii, per
radium, de circulari eiuldem radij, circa
idem cenrrum in eodem plano; v. 8. SIC
radius A HI, voluatur circa A, in hoC Figura
plano, dum punctum A decurris reetatm +8.