# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/175905688X:0148
# Permalink to this reading: https://leibnizlegible.com/page/175905688X:0148?run=74
# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 126, page id 175905688X:0148
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=148
# Source image: https://digitale-sammlungen.gwlb.de/content/175905688X/jpgs/default/00000148.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 66 lines, status machine
# Lines: 66 recognised, mean confidence 0.82
# 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.

126
FL OR TNIOHDE DE BEAMNE
R L. erie ipsa aequalis radio Circuli, urpore aequalis lemistr li-
nCx RC.
Fe hec quidem quantum ad constructionem juxta hanc Me
thodum, quae, poltquam jam est inrenta, breviorreddipocelt.
Nam cum angulus A E C sc rectus, _ A F media proportiona-
lISInEeF A C _ AB, Similia CrunE eriangUIa A F C, ABF, 8
FBC; ac proinde AC ad CE, UEC F ad C B. VEANLCI AB
est ad A C, IEa esE L NI ad L NI. OLATE PET COATEFSIONeI FA-
tionis erit AC ad B C, AE L N ad NMI. AEVeIOUE racIOAC
ad C B duplicara estrationis A C ad C F (propterea quod CF
media est proportionalis inter A C _ C B), ita etiam, cum linea
PFI media Sic proportionalis inter L. N _ NVM (per constru-
Ctionem): eric ratio L. N ad NM, hoc eAE, A C ad C B, dupli-
caca rationis L N ad P II. GUAPEOPECF CriE HE L N ad P H, Peu
DFI ad MN, ita AC ad C F; quae quidem Circuli radius est.
Demonstratio hujus constructionis ad imitationem praeceden-
tium inveniri pocest, quam hic omietimus: cum illa ab Futocio
initio commentariorum ejus in Apollonii Conica lic ostenla.
OBS E R V A XFO Q uLN LA
DA8. 2F hujus Ccometrix dictum est: quod, postquam hec
a aequacionon alcendic ulera rectansulum duarum quanticatum
indeterminatarum, aut etiam ulera quadratum unius ex illis, linea
curra semper sic primi ee simplicissimi generis, sub quo tancum
Circulus, Parabola, Eyperbola, _ Elliplis sunt comprehenlae.
Duod ita incelligendum est, duas quanticates indeterminatas
xSr, cum separatim in squationis terminis reperiunEUE, non
ultra lua quadrata alcendere debere; sed in terminis, ubi simul
reveriuntur, lingulas non nili unam dimentionem habere debere,
itaue limul tantum rectangulum aliquod dualre dimentiones eAi-
CiaNE.
Similiter, si in Aquatione reperiretur terminus aliquis, in quo
haberetur y3, velx3; auc p+, velxt; auc denique x p=, vel x P
vel x ry: linea curra esset secundi generis. Fc lic de cxeteris. I
quibus omnibus Colum indeterminatarum quanciratum ratio ha-
benda est, non autem quanciatum cognicarum, quibulcum jun-
BUINEUT.
Quda
dime
nii
BOII
Vd
yy.
stie
II VC
cantum
pelle
dt
Guitieit
cicaltori
AIerO
Gude Cal
Peritul, Hec
rem diqunn
Aesate
alletm, 1
Guditun e
ctionum o
riderelice
lineae
Deture
Sic A: deine
sla. I PrO)
BIBMI COI
Sletasomnie