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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 182, page id 175906937X:0206
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=206
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 44 lines, status machine
# Lines: 44 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.

+82
V L E H. C U R V A R U M
Constituris enim tam angulo mobili quam describente in Catione
nrituere, cum per iplarum incersectionem descriptum cA pun.
ctuin C, reluri in BF. C, de A BC, guoniam aequales sunt rectae
EB, FD, addicâ vel ablaca uerinque F B vel FD: erune quo-
per 29 pri- que rectae BD, PP aequales; cumque = propter parallelasF. C.
ct110
A D aequiangula linceriangula BD A, BF C: eric = uE BD, id
per 16 CA, FF, ad D A, it2 BF ad F C: ideoque: rectanguluM FF C
sedbt
sub extremis aequale rectangulo sub mediis AD, F. B seu ADF,
Ouod erat propolitum
Ouare cum de omnia rectangula, uE FPC, inter se
quoque linc aequalia; manifestum clt, curram, incerse.
ctione uei praedictum est, descripeam, cam iplam esse,
quam Veteres lyperbolam rocarune, aut, si binas cur-
vas eodem e continuato motu renitas limul conside-
res, elle cas, quas Oppolitas Sectiones dixere; directri-
cem vero R L ac efficientem C+LI cas iplas, qu2s Asym-
PEOEOS nuncuPaverunE, aeque iplarum occursum live
interlectionem, ut L, idem illud punctum, quodITy.
perbola live Oppolitarum Sectionum Cenerum ab iplis
appellacum fuit. ideogue dhaec lingula iisdem illis no-
minibus in posterum indisicabimus, Tolummodo sc-
in Epistola Ctionum nomen, ob rationes superiust expolitas, minus
conoruum critaturi. Rectanoulum aucem sub inter val.
lis contencum, scu, quadrarum ci aequale, FIyperbola
Pocentiam dicemus.
Corollarium T.
Ex ipla descriptione manifestum est, ACy improtos ec FTyperbo.
lam magismagisque ad seinricem continue accedere, tandem-
que perrenire ad distantiam, daca qu’alibet dictantia minorem;
cujus tamen, s demonstrationem exactiorem delideres, duta di-
Stantia sit recta NYO, 2d AIYIMPEOTON F K perpendicularis. SuM
pc2 isicur ND, quae eadem NO minorliE, SIHaEUENP ad AD.
ita D Fad Fe, ac per e ducatur ec ip(iNVP aequalis acque Alym-
Deoto FHIaeguidistans: eris s rectangulum L. ec Porentix AD F
aqua-
per 4 senti
ad Schore-
nium.
per 1C
sexsi.