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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 721, page id 1815201908:0778
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# Lines: 44 recognised, mean confidence 0.87
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1
TN P L A N V M.
dimidium est F C Fieura autem inscripta huie
corpori scilicet PFIR, est dimidium A B ductr
En se:icitur AB, ductum in se lonee uner snt
corpus producit ab illo quo d oritur ex AB an-
on C D. quare corpus ex AB ductdn LD.
aequale est illi quod exsurgit ex AB, duito 
se simulcum AB, ducto in BC; sive quod in
idem recidit AB, ductum in CD, aequale
est corpori quod exsurgit ex AB ducto in to-
tum B D. itaque ad complementum Cylindri
qui consurceret ex basi AB, in altirudinem Y
AD nihil aliud requiritur quam AB ductum
in se, v facile connosci potest ex ficura F C, cui 
Si addatur dimidium AB, duetr in se. Babeostut fe
interer Cylindrus basim habens A B, seu L. C, i
es alturudinem PL; ficuraicitur F C conti-
nec dimidium FTI, ducti in se. simul cum FFL
ducto in LC, quibus s addideris reliquum=
dimidium corporis ex. F II, in se ducti, smul
cum FPL. ducto in L O, exsurget ficura quam
vocanimus hac propositione natam ex AB, du
ita in CD, reuera autem est Rrura orta ex
AB ducta  supersiciem BD, vt explicatum
est. quod si displiceat haec nomenclatura, vocetu
fcura FC, dimidium illius corporis quod ori-
cur ex ductu AB, in superficiem BD.
eReTOSILIOLAII
n ab circulixqua, .
lete canoau  lbal
AB, in C D, cciamoeu.
Dico superticies produci Cylindricas.
Demonstratio.
SOnanuE PF, CC diamecti circulorum paratlelae; et ABCD linea.
normales ad F F, C C diamecrosscrune igieur BD lincae X qualesL C, HPacele
elementis: sed A B circulus ductus in FC altirudinem, producit exlindeum; ieicu
et AB circulus ductus in BD, cylindrum produeit. sed AB circutus auaus IH CH
culum C D, ParS es AB ducti in BD; igitur _ A B circusas MS IL D, MMC.
lum, secundum mentem praecedentis proposicionis superticies producic erlindricas
quod vero communis inter sectio sit ellipsis, vide Scholion quoafod. In quo corpus ipsum
de quo proposirio est, ex primitur, es explicatur.
cho-
 tepe  etet  dete es te te e te e te t te eti  et etite te e tete te    te  t  ate    t  t  et e  a     t et i  te ti  e