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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 798, page id 1815201908:0855
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 31 lines, status machine
# Lines: 31 recognised, mean confidence 0.84
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798
DVCEYS PL ANI
hoc est ex hypothetiH O. Erso inverrendo HO ad RO, vENO ad PO, et
46. huins. COnVCrendO VE M O hoC CA L. P ad MIK sic N O hoc eit O L ad N P. Igicur
rectan guta MIK, OP aequancur rectangulis L P, PM; ergO ~ planUM MK, ductum
in planum L. O hoc est in alcicudinem HIF, aequacur plano NP ducto in planum
PL. Ouoderat demonstrandum.
PRO1031F1O CLI.
nirculus ABC idem habcatCenra cam LeclanouIO DFL, a la-
scera quidem DE. F. C circulum concinsAnEin A e B: RAHEPFOPOT.
tionales DE, D A, D FI; act aq per centrum rect a OS parallela ad DL, et
occurrence circulo in P X C, hac ve 95 ad OC, ica OP ad OR: tum
per H, R puncta parabola describatur L. L. L. habens axem R S.
Dico corpus habens balim L. IE _ alcicudinem FC a quari corpori or-
Eo ex ductu plani MV in OH.
Demons.
DVCANEHTIMMHITA R LMOH ParAIICIE Aa DL, B C. PONTA CONIETHCHIOHCH)-
Pocheseos, lingula KN. lunc ad lingulas KO, ve RM lingulx ad linsulaskL
vefacile deducitur ex iis quae in lib. de parabol. demonstraui. ac proinde rectangula
b4b. . LV R L ae quancur rectangulis OKM. ergob K L. ductum in alciruditem R N id eAt
EC aequarur KM ductoin RO. Suodera demonderaa.
PROPOSIILO BI
TEdem pots.
Dicoma auue, Corpus prerene auateut Guod Oritur ex
ductu L.M in alcicudinem DF.
Demontratio.
Q EctanGUIA LRN, MIKO pracldMPOPCI CNUS E a GaaS
EUEDE MR ad LR, SiC N R ad K O e connertendo MI ad NIL, VE NK ad
NO rectanoula o RMNOTaCIGMadraTa M R, aquala LaCCaSS LM
c 45. huius. R BI. Crg0 L. M dudum in adcirudinem c R NY id est D P xouale eMt M K ducto in le.
DR O.