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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 176, page id 175905688X:0198
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=198
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 45 lines, status machine
# Lines: 45 recognised, mean confidence 0.81
# 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.

FR AN CZSCZ 2 SCHOOTEN
ea puncto Fasamus duas rectas lineas F G, FP, ipsis AB, BC
parallelas: Prit enim parallelogrammum AP FC paralleloram.
InO ABC D aequale, Per L2 PrOp. 2i libri Conicorum Apollonii.
AdCO HE AE _ FF Tumi possine pro duabus quancicatibus inde.
terminatis y e x, qua in se invicem ductx esticiane x y ∞ ab.
quod exigebat propolita aequatio.
Fodem modo, si aequatio fuerit xy ∞o b y = aX, de producan.
tur rectae DC, P F, donec concurrant in punctum FI: ericitidem
parallelogrammum DTIF O parallelogrammo C HIF. B aequale.
AC proinde (iD C pOnatuE ∞ a, _ C B ∞ b, (VE antC) a bina
quantitates indeterminata y e x aa binas lincas C II _ TIF rC
FCraNEUE, atque DFISCUa-L y ducatur in TIF Ceux: erit rectan.
culum DF seu x y. L a x aquale rectangulo C P scuby, utpote
quod inrenitur mulciplicando C B Pcu b per C HI Icuy. Adcoque
si utrinque auteratur ax, relinguetur x y ∞ by = a X. Oux eAt
aequatio posterior.
F quibusmanifestum sc, quod, lic et plurimi reterat, guaenam
rectae pro quancitatibus indeterminatis lumantur, ut aequatio
breris acque facilis reddatur, Temper tamen linea ejuldem ge
neris appareat, quocunque tandem modo sumaneur.
Omitro alios requationum modos seu formulas, candem cur-
vam designantes, quandoquidem complures suHE. In genere hoc
diCaIm, EOEAM RQUATIONUMLIILAFCIM VATICEALCI OFIPI FANEIIM ex VA
ridharum currarum ad dirertas rectas lineas relatione. Nam, ut
octendatur quaenam differentia obtineri possie, cum curra linea
ad diverlas rectas lineas refertur: Sunto duae rectx linea posirio-
ne datae AB, DF, Sibi MUEMO OccurrenteS in D; punctum au-
ten
der
CF
All
MV
CuM
sade
rectin
qule
eum.
A +
Vaa
hocele
HO
sisubE
tIVO
DMa