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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 220, page id 175905688X:0242
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=242
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 34 lines, status machine
# Lines: 34 recognised, mean confidence 0.88
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

FR ANCESCF a SCHOOFEH
Denique tiac proprer similicudinem Nlorum F. ih dc F. k B
uE Fi ad FB, ita Fk ad FB
EB + 1-  M p
ExItG; Per 16. Si Flem. RI ∞ BM L iM
vel Ri- mi ∞ hm
ki -m; in ib
_ Fch∞
Rt = M l ∞ M B - Mb
EE KL∞ mn. HlOC es, rectangulum
sub F i _ ia est aequale rectangulo (uB F R _ R a.
Id quod eodem modo de omnibus aliis rectangu.
lis; Tub similibus lineis comprehensis, manite-
Cum est; prout nimirum ad hoc praeter puncta
E _ F alia quaeris in FIyperbola astumpea fuerint.
Ouibus taud dissimilia sune ca, quae Apoltonine
demonstrarie Propue 12ma libri 2diConicorum.
EInde demum facile est inferre, cum puncta haec ulterius at-
que ulterius semper in FIyperbola altumi possint, ac inde uno la-
cere horum rectanguloruin continue accrelcente latus alterum
iplorum perpecuo decrelcat; quod idcirco ACymptoti ab, ac, e
EIyperbola P. Fin intinitum productx ad se iplas propius acce
dant, ex ad incerrallum perrenione, iminus quolibet dato inter-
rallo. Ouibus de illa quadrane, qua ab Apollonio Propbus , ma et
2q ejuldem libri sunt ostensa.
Carerum quoniam Dus des Carres unirersum iistantuum pro.
Policionibus clus tuisse ridetur, qua non nili proprietatos décla-
rane, quae cum subjecto suo omnimode reciprocantur, et d L. Ogi
cis proprietates qi modi appellari solene: vilum fuie hoc loco
deincepsmodum, quo cornosci porsune, qualem eum erudicis-
simus acque ingeniolissimus Vir-Jurenis D. Johannes FIudde.
nius, Amstelodamentis, Gertr. Fil. excogicarit, per unum aut al-
cerum exemplum exponere.
22C