# Leibniz Legible — https://leibnizlegible.com
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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 198, page id 175906937X:0222
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=222
# Source image: https://digitale-sammlungen.gwlb.de/content/175906937X/jpgs/default/00000222.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 47 lines, status machine
# Lines: 47 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.

798
F L E H. C U R V A R U M
Catx, ut ND, producta, Si opus tueric, in R: rectangulum C. NK
quadraco applicaca
D N aequale esse.
Quoniam enim est
uE PC ad C L. sire
ut PNad NK 2, id
CAt, (TumPEa NC
communi alcicudi
nC) ut P N C re-
Etangulum ad C NK
rectangulum 3, Ita
idem P N C reCtan-
sulum ad D N qua
dracum, erit + re-
etangulum C WK
quadraco applicacae
DN aequale, id est,
S vecerum Geome-
crarum moreid pro-
Poni placeat:
Ouxe ab FIyperbola ad diametrum ordinatim ap.
plicatur, potest spacium adjacens lateri recto, lacitudi-
nem habens lincam, quae a diamerro abscinditur incer
iplam applicatam de diametri verticem incerjectam,
excedens que hiourâ simili similiterque polcâ ci, qua
laceribus transverlo rectogue continetur.
Corollarium 3.
Per 20hu-
SuS COnV.
per 4 sexti.
per 2 senti.
+ per
quinto
per 20hu-
jus.
deu Guoueelca delonulatio Mlspecbota dppII.
catarum quadraca ad se invicem esse, reluti rectangula sub inter-
cepris diametri porcionibus; ab urroque cransversae termino (uII.
pris. UE; Si appliCaTa (INE L. MI, D N, eric ut quadratum L M ad
rectangulum PM C, ita quadratum D N ad rectangulum PNC:
cum ueriulque eadem sit ratio, quae est poramerri ad transverlam
diametrums, eritque propterea permutatim L. MI quadratum ad
per 16 D N quadratum, ut P M C rectangulum ad P N C. rectangulum.
quinti.
HEO-