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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 188, page id 175906937X:0212
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=212
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 43 lines, status machine
# Lines: 43 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.
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# After the first blank line: the recognised lines in reading order, one per line.

288
E L F H. C U R Y A R U H
puncta, uE B _ D, aequalicer ab Asymprotis distent: quandoqui.
dem, (BF, DF aequales sunE, ad dita verinque BD, vel in oD.
politis Hyperbolis ipsa F F, _ B P ipsi D F, ideoque de rectangi
lum EBF rectangulo FD P aequale erit.
Corollarium 5.
Apparet quoque, cam, quae ex centro quamlibet rectam, vel
in una eademque, vel in oppoliris FIyperbolis ductam, bitariam
diridie, omnes quoque ipsi aequidistantes bitariam dividere. IIE
Si ex Centro A ducta A NO diridat bitariam rectam C P, cuia-
quidistans sIEBD; cum, aequalibus N P, NC additis dempritre
per 2 Cor. xqualibus = PHI, CC, aequales quoque sint NH, NC, ideo-
S hujus.
per a quin. GuC de OF, OF 2: erune smilicer, dempris rurtum addicilve
ii e 4 sca- X qualibus 3 BF, DF, ip(x OBeEO D quoque aequales.
3 per 2Cor. Fjulmodi autem rectae a centro per Flypeibolam
Shujus.
aut AOs- ducta a, intercepex diametri, seu diametri simplici-
milesque in FeF; at qua a centro inter oppolitas LIy perbolas du
Etigura.
BuEAOF. Cuntur , secundae diametri; parallelae vero per cal-
milesque in dem bitariam sectaec, ordinatim ad diamctros appli-
TI AGUTa.
UEPC, DB CatX rocantuI; de si applicata 2d angulOs rectOs a dia-
in veraque
ietris lecentur, caedem diametri LIyperbola axes ap.
Pellantur. Ouando autem lecunda diameter ordina-
tim ad incerceptam diametrum applicatis parallela est,
altera alceri Conjueata diciEHr.
Corollarium 6.
Ex praemissis colligitur, non posse alias rectas, quam dictus
parallelas seu ordinarim applicaeas, a diametro bitariam seca
ri. Si enim Aeri pOssic, secetur a diametro AO bitariam prae-
cex applicacas alia recta, uE O R, AEympeotis occurrens in S
_ T; _ sic per O. ordinatim applicata BOD, AsymptotiS OC-
L. Den 2, eS CUEFOAS II F _ F. AqualES CTOO CrUNE FaM F. O, FO +, quait
Cor. 5. bujus. I 03. 5. 5. Duoniam vero, ducta L V ipli S F parallela
ISUFa.
5. ex Bypoth.
juncto C Or. 5
hujus. 6 per. 25 es 29 Primi:
deu