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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 211, page id 175906937X:0235
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=235
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 39 lines, status machine
# Lines: 39 recognised, mean confidence 0.89
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LLa vel L. P
L T B. I. C A P. III.
2. +Y
ad eranvertam diametrum perpendicularis, Fer ue a in casu
ACrLahgMMLL velML Po rectaML, id eAt, perpendicu- FB. L dt H
miliB.
lariSF A a vel HICB, major sic = quam L. I a vel L P b; adeo b in casu
ut punctum L, quod in curra uccunque assumptum eAt, id cA, A3. II L d
limilib.
EOTa EILipLIS, Praeter F a auc HI. b punctum, intra ductam ST,. per 18 pri
Teu versus Ellipseos centrum, cadat.
Corollarium 3.
Mameum Quoque elt in Ellipsi applicatarum quadrata ad
se inricem esse, ur rectangula sub diametri portionibus per ap-
plicatas factis. TIE si applicatae sint L. I, W Z, erit quadratum
WVX ad rectangulum DXF, uc quadratum L. I ad rectangulum
mi.
DTE: cum  utriulque ratio sit eadem quae quadrati PG a vel 2 per 13
IIC ad quadratum DF, Sive quae parametri ad tranlvertam hujus.
diametrum; ideoque e permutatim W X quadratum ad L I qua-
dratum, ut D X P. rectansulum ad D PF rectangulum.
Corollarium 4.
Constar etiam ordinatim ad axem sire diametrum applicatas
utrinque ad Flliplin productas ab axc sive diametro bitariam se-
cari. UE, si applicata L Iproducta FIlipsi occurrat in V, quoniam
e3 quadracum L. I ad rectangulum DIF, ut quadratum V I3 per Cor.
ad idem DIF rectangulum, erit + quadratum L. L aequale qua- Praeced.
drato VI, ideoque a ipla recta L L ipsi rectae VL aequalis.
Corollarium 5.
Duintr.
Constac Porto, applICataS FIlipsi in pluribus quam duobus
punctisnon occurrere. Si enim LTV alio sui puncto praeter L
+ per d
ee V, exempli gratia punctoZ, in FIlipsi eNet, rectae IL _ IZ 5, 5 per Cor.
ideoque LV e IZ. pars e totum, aqualestorent, quod est ab- praecedens.
Turdu.
Corollarium 6.
end atobio pocto colle, Et ab Cacletac Calrecta ca
ACETIS