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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 800, page id 1815201908:0857
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# Lines: 40 recognised, mean confidence 0.87
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VCFVS PLANI
Dico Corpus ex duccu superticierum RF, LIS inter (e emergens equt
le cseilli mashacudini quam producir balis O F dueta in alcicudinem LHs
Demonstratio.
600
Ocuimus lib. C
nia rectangula ORS. aequalii line rectangulis LR Il igicur lune proporciona
leslince R O. R F cum lineis R FI _ R S. quare dividendo veR O cstad OF. lca
est quoqne R HT recta ad lineam FIS acproinde componendo cam habet rationem
R S ad FTS, quam habeF R F ad F O, igitur rectangula RS, O F aequalia sunEre.
ctangulis R F, FTS. Ouare erit corpus constans alcirudine quae sc xqualis rectxe IR
sInC R S, _ BaS OF superticie, aequale illi magnieudini qua profertur ex mulcipli-
catione figurarum seu superticierum RF dt HIS incer (c. quod oporruit demon:
Rrare.
t t idi
SeoB F recrangulum e circulus delcriprus AC, transcat per extrema
Llaceris F P: hane autem A B C rectangulis equalia rectangula F. BD.
Dico AB duccum in F. C corpus proterre x quale parti cy lindrics, quae
bali constat, AD d alticudine BF.
Demonstratio.
Veancur linex infinire B ADF. C
parallela laceribus rectanguli
quoniam AB C rectangula aqualia
Ponuntur recrangulis E BD, VE AB
ad BD; AC FB ad BC: e diui-
dendo De B A ad AD, SiC BF ad
B C, aequantur ergo rectanoula B A,
FC, rectangulis AD, B F isitur AB
ducrum in F C corpuS producie x
quale a illi quod oritur ex AD basi
ducta in alcicudinem BF.
abola polta parabola veihoc locoen comua quo
PROPOSITIO CLVI
Ttrum ABCD reccanoulum de perextremxe lateris AB circulus
descriprustran (eat occurrens C. A, D B lineis in F. d F: fanE autem
HC L rectansulisae qualia recransula ICK.
C
2A8. bnius.
(.    e t e e  i tt  e    e et  a e  t    e e    te et   tt  e   e  ti   e te t  e  at   te e 
Dico