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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 1187, page id 1815201908:1244
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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 0.88
# 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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VADRA TVRA CTRCVEI
item in O, I, D; I, ac. ex quibus punctis educancur parallelx ad axer, Per-
Aciancurq rectangula K P, OHI, ES, R L; irem K G, OI, FM, SH.
Dico rectangulum OHI ad rectangulum E S esse verectanslilum FNI,
adreclans alum OI: e rectangulum IE P esse ad R L, verectangulum SN
1187
ad KO rectangulum.
Demonstratio:
Droniam CF, CCirem CO, CS equales sune, isieue a rectangulum H O L, X. ~ Per 10)
Lquale esrectangulo R F D, aC ProPrerca GFI cst ad R F, _ FD ad GI, sed huin.
rectanoulum OFT cA ad rectanoulum F, S, ve G: HT ad F. F. e rectangulum FM
ad rectangulum OI vrFD ad GI, cum alcicudines exdem unc ex constr. isicur ma-
nifectum est rectanoulum OTI ad F S, rectangulum esse vi rectangulum FN 2d
OI. Fodem prorsus modo ostenderur rectangulum R P ad RL, esse verectangu.
lum SN ad KO rectangulum. Due Fuerant demonstranda.
IIdempostis:
eROPOSITIO CV
Dicoparallelepipedum quod orieur ex ductu rectanguli O FTinle, ad
id quod orirur ex ducru F. S in sc, eandem habere rationem quam paral-
lelepipedum ex ductu recransuli F. M in Se ad parallelepipedum ex ductu
Ol in sc.
Demonstratio.
Darallelcedu orcuim ex duccureecaguli OFI in se ad parallelepipedum orrum
ex ductureccanguli FS in sc, eA verectangulum OFI ad rectangulum F. S, cum
alcicudines aequales sint. Scd b eadem quoque reperitur proporeio incer bales paral. BPor 104
elexipedorum que hiunt ex ductu F Mreccanguli in se, ee ex ducturecransuli C. l in hulu
sciplum. Isicur pacet veriras proposirionis.
Corollarium.
parallelepipedumorcum ex auctu a L. inlc clle recorpus orcum ex duceu S Nin
EiOdem modo demonstrabitur paraltelepspece Ca avclu rectanguli K P in le ad
  e .   t Ate .  . t  te . e   e ta  e e te  t. Ate e 1  t  i e e 1 5. 1. ste  us  t 1  1 e  1t. 1. e     e 1  1  e   1e 1   1s. 1