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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 172, page id 175906937X:0196
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=196
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 58 lines, status machine
# Lines: 58 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.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
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# After the first blank line: the recognised lines in reading order, one per line.

72
F L E ML C U R Y A R U NT
caris consequentibus, ut C. A ad duplam MIB scu ad C F. bis, ilg
3 per 29 pri MI B ad BL, hoc cA3, ita HIC ad C:D: ac proinde + contentum
Mi,  4
Seati.
 per 1C
sexti.
 per I hit
Ius.
sub mediis, nempe rectangulum II Cs F bis, aequale conteneo sub
extremis, nimirum rectanoulo sub C A _ GD. Undecum bi-
na quadrata rectarum HIC _ BM seu C P aequalia sine5 binis
rectangulis C AC _ C AB Ceu C AI, id est, rectangulo sub
per 1 se- C A e TC: erunt quoque, addicis demprilre  utrinque aequa-
cundi.
a in calu
libus, nimirum rectanoulo IIC: F bis ab una, ac rectanoulo sub
tis. Idcsi. C A d C, D ab altera parte 7, compolita a vel relidua, nempe
milibus. Quadracum F. FI ac rectangulum (ub C A ec ID Peu M O Xqua-
b in Ca(u
Fis. IIdcTFY lI c.
ac similibus. 7 quippe per supra demonstrata rectanculum LIC P. bis aequale est rectansulo sub C A
es CD. c in casuenim Ap. I, Er ab una paree ad bina quadrara rectarum HG e G F. addatuF
rectansulum HIOF. bis, COmPOSEUM HE F. IF quadrarum, per + secundi; ac H ab altera parre
ad rectangulum suB C A _c IC addatur rectangulum (ub C A e GD, FE, per I secundi, rectan-
gulum sub C A _ ID Peu M O. Fodem modo, (i in casibuS Ag. II et PII ab una parre a binis
quadraris rectarum FTG _E G F auFeratur rectanoulum AIG F. bis, residuum crie, per7 secun-
di, F. HI quadratum; ac h ab altera parte a rectangulo sub C A ec IG auteratur rectansulum sub
CA BCD reliduum erit, per x sccundi, rectansulum sub C A et ID sCu MO.
Ideogue cum SIE uE B MI quadratum ad NI L quadratum, siveuE
per FBu-C AB rectangulum  ad rectangulum suB R MI _ AB 9, hoc est 20
jus, e ex UEC P ad R M, Ceu, alsumpea communi alticudine MIO, ut prX
Bypothest.
Per 17
dictum rectangulum sub C A _ MO ad RM O rectangulum.
serti, es ex Ita == FHI quadratum ad FIO quadratum; licque rectangulum
hypothest.
10 per 1 sex
ii.
12 per 
22 sexti.
a2 per 14
ruinti.
(ub C A _ MO, ut jam ostensum est, aequalc quadrato FYI.
erit quoque 22 rectangulum R MI O quadrato HIO aequale.
Unde cum punctum FI, ubicunque id in expolica Parabola
AFIassumpeum fuerit, semper quoque sit in Parabola, qux effi-
ciente SV, interrallo rero MK describitur: sequitur alceram alce-
ri per omnia congruere, ideoque hanc cum illa candem esse; ita
uc constet reritas eorum, quae proponebantur.
Corollarium T.
Fix ancemensMamtelcum elt, quod, ductis in Parabola binis
quibuslibet rectis libi inricem aequidistancibus, quae utramque
Bilariam diridic recta linea illius diameter existat. Ouippe quae
per medium aequidictantium unius diameter ducetur, tire haec sE
ipla diamerer ex generatione. Cire eidem parallela, per medium
quo