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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
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F L X I P S +5.
Contingere: quod erac primum. Ouod si tangenti BF parallela ducatur Gua IS
AC, occurrens diamerro in F, eric ordinarim ad diametrum polica. Si non dueatur
ex A ordinatim AP: eric A F parallela contingenti B F. quare _ ips AC xqui-
dictac, quodherimon pocest, cum eandem secec in A: igitur AL non cA ordina-
tim polica nec guauis alia praeces AC, quod erac alterum. PacerigICUT VCTITASPTO-
Polcionis.
P R OPOSITIO XIV
DEF dacum in peripheria punctum contingenrem ducere.
Constructio es demonstratio.
ESto ABC cllipsis ex punctum in peripheria dacum B.
LOPOTTCE per B rectam ducere que sectionem contingae
in B. inueni a cenerum, ex per hoc ex dacopuncto B due dia-
mecrum BD, ad b quam ponacur ordinarim quaevis linca
AC, cuiper B agacur parallela BF. manifectum igieur est
cBF elecangencem; isitur per dacum in peripheria. pun-
ctum, dec. Quoderac Faciendum.
PROPOSITIO XV.
Inex qua per extremicares diametri ducta, ellipsim contingunt,
inter le aequidictane.
Demonstrario.
Veacur enim quaevis A C ordinarim ad diametru:
manifectum est ex r3. huius cam B C quam D F li-
neasillix quidistare, adcoque ec incer (c. Quod fuic de-
monstrandum.
lKOEOSIIIO aV
TOntingentes ductae per excremitates ordi-
nacim polix, conveniume cum diamEEO
extrasectionem.
Demonstratio
2
 ade cloco claltlcet i: de Occllacua pollla
LE C, ASAECUIEQUE PEE A canigenS AP, dico illam cum
diamerro convenire in Fi. Inuenca enim FTC sdiameero
coniusata ipsius BD, demirtatur ex A linea AI aequi-
distans BD. quoniam igitur AI, BD aeguidistan, ex
A F Occurracrecta AI, Parec productam quoque con-
venire cum BD. Ouod Fuic demonstrandum.
exoPOstFIC
ri
IBCCaS asIS BD, CoMMSACM D MICa PG, Cumpeilq
a6. hiuiins
b
c
trius.
3. tnino
rhusius
S Colcuselle aeuatbus Parcibas EB. BC. dem iccancur ex la
diameeri dux FL, C. F. occurrences ellips in H ex l. dico iunctam HI
aquata p L.
Demon-