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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 387, page id 175906937X:0411
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=411
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 60 lines, status machine
# Lines: 60 recognised, mean confidence 0.86
# 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.

600
AperiL.
AC od
D, HaE
DC
adFC
dA6.
d. ABmmo
B, CF
CdX
DBe, UI
Aciplice.
ad e +
aritates,
DE MONSTR AZFONFDUS.
ita ut quae in x ductae unt unam partem aequationis obrineant,
reliqua aurem alteram
Ferque be x - 6 d X ∞ aC d = a d C.
Denique diridatur uerinque per be -c d
eritque X ∞ acd - ad0
be-cd
Jam ut aequalicas hac omnium facillime in proportionem re
Solracur, simulque inde elucent, quo pacto quis ratiocinari tenca-
cur, ut quaelicam lineam AB seu x ex datis quam brevistune in-
reniac: animadrertere oportet, quaenam licera plurimum
omnium in hisce terminis reperiatur. Oux isitur cum hic de-
prehendatur esse d, iplaque le ter prodat, ubi reliquae non nisi bis
oftenduntur, Faciendum est, ad deprimendas dimensiones, ut illa
in omnibuscerminis inreniatur. In quem sinem (i Fat uE d 2d b,
ita e ad qtam, quae roceturf: erit dsxbe, ac proinde x ∞ acd = a dc
Peu
c - a
af cd
.nimirum, abbreriando cerminos omnes per d. EbI
Si demum Fat uE f - 6 2d 6 = e, iEd a 2d qtam: erie ip(a DX, hoc
eA, ∞ quaelicae lincae A B. Atque ita apparet lonsitudinem ejus
duabus regulis erium seu proportionum inveniri polle, quae alias
zbus gue pluribus inrestisanda foret, si nullum in relolrenda hac
Fractione heret discriimen.
Ubinocandum, candem Fractionem ac d - ad
be -= ct
etiam aliomo-
do in duas proportionum resulas esse resolubilem, qua lingulae
licut praecedentes non praecer unam dimensionem agnoscunt live
omnino simplices exictunt. Nimirum considerando in duobus
terminis reperiri cd, de in linsulis reliquorum duorum reperiri es
adco uc, si planum cd in aliud transmutetur, cujus unum latus
Cic e, licera e sic in omnibus terminis haberi raleat, quae deinde
Omicti polic. Ac proinde (i Catuaeur, uc e adc, Ita d ad gram,
2e5= adc 48 - ad
acd = a d
e Cb
Scribi PONiE
pe- es C b -. Unde si rursus AaEuE b - 8 ad 8 = d, ita
aad gtam: erit ea ∞ a, linex quae licx AB. Oux quidem animad-
vertio, cum in abstracto hiac nullâ Facta calculi relatione sire re-
Srictione ad figurx lineas, luculenter ostendic, quat perperam
judicentilli, qui non rite perspicientes hujus Geometrix Metho-
CCC 2
du