# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/175906937X:0326
# Permalink to this reading: https://leibnizlegible.com/page/175906937X:0326?run=74
# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 302, page id 175906937X:0326
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=326
# Source image: https://digitale-sammlungen.gwlb.de/content/175906937X/jpgs/default/00000326.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 41 lines, status machine
# Lines: 41 recognised, mean confidence 0.89
# 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.

302
F L F NC. C U R V A R U N
ut ibidem Factum est, sed per subductionem ec dirisionem argu
mencatio insticuatur. Ouod iplum eamen, adhibica nonnulla mu-
catione, elesantius quoque in hunc modum absolvi polle ri-
detur.
FHoqualibet EIlipsis FCO, cujus centrum II, axis major
FC, minor OP, atque UEmbilici A S B; adeoque rectangu
Iu FBO uE _ C A F aequale quadraro lemi secundae diamerri
1IO.
per 16
Sexti.
per 22
sexti.
Ductis ab assumpto quolibec curra puncto C rectis C A, C B,
ordinatim ad utrum que axem applicentur CP, CN; _ Aat ut
HIF ad HI A, ica HIE ad HIMI, adeo ut = AHIF rectangulo
aequale sic rectangulum FHIM; Cumaturque IIO aequalis ips
HIE. IIinC Cum LIE = UEHIFg ad HI Ag, ita HIF gadHIM9, erit
3 ex hrpo. quoque per conrertionem rationis ut TIFgad C AF Ceu 3 1I09
thest.
id est+, ut C Ng Sire TTEgad O NP, ita idem HIEgad FM C;
per 13Pri.
ni bujus dc proinde aequalia sunt rectangula O NP _E F. MI Q. Quocir-
jusque Co- Ca Cum STIMIguna cuM F MI Q, id est, cum OHP rectansulo,
rol. 2.
peru quin
1.
aequale sic HI F g; Sirque _ IIF q7 aequale quadratis recta-
rum HI A e (1IO 5 ICu 2) CF una cum rectangulo ONP:
per 5 se- CruNEHIMg. FONP L HIF qequaliaHIFg + HI A9 + CF9
cundi.
per5 se-
cundi.
+ONP. ACproinde si utrinque auferatur ONP rectangulum,
remanebunt bina quadrata rectarum TIM _ IIF SCuFTC Simul
quippe aequaliacribus quadratis rectarum HIE, Il A sen HIB, e C L.
Quaci. Cx
IIOaequa
le est C AF rectanS. ex ByvOth. 3 per 5 secundi.
Hlinc