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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 365, page id 175905688X:0387
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=387
# Source image: https://digitale-sammlungen.gwlb.de/content/175905688X/jpgs/default/00000387.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 46 lines, status machine
# Lines: 46 recognised, mean confidence 0.77
# 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.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

X
at p
10d. l
de
aemun
peiu
12
lec
sicest
rea
nec
un dac
dalio
12
AR, OLA ZLOYUM RESOLUTIONE.
365
FHI Peu HK sic 30 Peu V3p, in eoque accommodando rectam
FC∞ 36 Peu 2, atque deindetritariam secando utrumque ar-
CUM FMG _E FNO PerreCtAS FMI_E FN. Nam uei circulus.
cujus radius 30 per inscripcam 36 in duos inaquales arcus dispe-
Scitur, ita quoque incognita quancieas x duplicem rerum ralorem
FOTEIEUT, Aeque alECrVETA e LUBEenSIS F MI Vel FNI, tam crientis
FM minoris arCuS FMCT, quam erientis F N majoris FNC:
Falsus autem ejusdem valor aequalis est reris illis simul sumpeis,
ZEquC PEF ReCtaM FL delignaturS 1
Ouosbinosradieis ralores cum Viera alia porro ratione ex
Plicare licet, uc sequitur.
Duoincelliganeur criansula aequierura, cruribus alcerum alteri
aqualia, quorum secundi angulus, qui eAt ad balim, sit triplus an-
culi, qui est ad balin primi, ee balis secundi incelligatur elle 18
PCu  =, CruS vero3O SeuV : P. x aucem de qua quaeritur, esse balin
dimidiam primi, muleatam continuatamre longitudine ejus re-
etae, cujus quadratum eAt ae quale rriplo quadrato alcirudinis primi.
Duodurperspicuum hat, tinsantur criangula illa eAc A B C &
CDE, quorum Cut anEC) erus quodlibet AB, B C, CD, vet DF
sic ∞ a e basis secundi C F. sir ~ b. Demissis autem in iis perpen-
dicularibus BI, D K, sumatur B F a qualis dupla B P: erirque F L
recta, cujusquadratum est xe quale criplo quadrato alticudinis prime
uS Y_ PFOAC, ut ante, ponanuis _ quadratum ex B I Fore vat
=X X
deoque quadratuim ex F FD Z d a -= = X X. V) AIOMTAIM VerO
ex A L D= vlublara A F∞) cengureur Fl∞ = X = y, cujus qua
dacu CA = X ∞ = ∞) 15). CIC = ∞ X - ∞y + y7 ∞3aA - = ∞ X.
2 3
HIOC
Ouibus ica politis, ut inreniatur A F, liguet, Si prO Ca POna=