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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 1070, page id 1815201908:1127
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 47 lines, status machine
# Lines: 47 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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e tamen oncedi porest dari conoides aliquod inclinarum. verum vlcerius inclinationem illan
GOHOEDES DARABOLLCVMI.
1070
suimus.
non prosequimur, en tan condnns nullius sit 2 sus, ex excludatur a desinirione quam initio po-
CIc pars conoidis ABC D habens balim cllipricam, inclusa extindro
DABCF, et alcerum conoIS FCHI, super basi circulari inclulum
.  Ce
Dicoconoides ABCD ad conoides
FC TII eandem habere rarionem guaim
colindrus AB C, F. ad cxlindTFOHN.
1+ Eitte
puncuia i Demonstratio.
et Cott t
Ct WWSI
Ilac enim, quaeuis sectio K L. M parallela
AB C, occurrensaxi obliqui eslindri in 
ee formas in conoide AD C sectione NOP.
ediuiso deinde axe In in Z sccundu ratione DO
ad 0d, paraIlela FOTI, hac per L. scctIOR ST,
exhibenssectione V X V in conoide FG, HII.
crucigitur sectiones a RP. MI, N OP similes, vei
e RSX, V X V. insuper quadracum C d, hoc
eAt MO, est 2d quadracum PO, ve dL est ad
DD, hoc est ox constructione re nI ad Z I
hoc estrequadracum FIx ad quadratum XL
hoc est requadrarum YZ ad quadracum X L.
cum isitur EE quadracum M O. ad quadeatum
ZP O ve quadratum TZ 2d quadrarum X Z, 8
elliples olten(x linc smiles, eric cllipss NO P
AdK P. M, veest circulus V X Y ad circulum
R ST, inde cum hoc sic rniverlalicer rerum,
un factis quorcunque sectionibus, Facile iuxra For-
ma dilcursus quadragelimxe quinea propolcio.
nislibri de Ductibus concludemus exlindrum AB C F eNe ad conoides inclusum,
recylindrus FC HK est ad conoides insoriprum.
PR OPOSTEIO CEXLII.
VIE ABC conoides à quo dematur obliqua sectione ad axem BHI,
pars DF FB. Facta deinde sectione ABC per axem B FI, quae recta
sicad planum D F F; dividatur communis incer sectio D F in Pbitariam.
ex erigarur IK parallela axi, ponaeurq; K L. normalis ad DF.
Dicoconoides ACCB ad pAFECM D FFK, habere rationem com-
policam exbali AC C ad balim DF. F, e ex alcicudine B HI ad alticu-
dinem R L.
Demon-
PR O POSIT HIOVCLXII
cplincio FOFLL.