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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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CONOIDES AEPERSOETCYH.
Demonstratio.
 Ectangulum C F B xquale est quadra-
Lco, DN hoc eA perpraeced. quadraco
FFhoc est quadrato K I, de conléquenter
circulus radio DN delcriprus cA xequalis
spacio circulis parallelis contento BIC,
E M P. vndecubales semper lincxquales
e alciendines, facile per cxlindroru inCeri-
priones demonstrabicur cylindrum quiba-
sim habec circulum GFTII, e alcicudi-
nem. D I aequari spacio quod conoidestir-
perbolicum cingic. Duod tuic demonstran.
dum.
PROPOSITIO CZC.
IIdem positis:
Dico sparia conoidestrperbe
licum cingeneia que planis paralle.
lis contingenti GHTN intercipiun
cur eandem rationem obcinere qua
alricudines DL; L. L.
Demonstratio.
DRacedeneenim octensum est spacia illa aequari eylindri parcibus qui habet ba-
sim circulum CFTPT: Sed parces cplindri eam incer se Corciuntur rationem quam
alcicudines DL, I. L. igicur eriam sparia illa incer se cam rationem habene quam al-
cieudines D E, P. L, quae cum alcicudinibus ex lindrieis lunic communes.
PROPOSITIO CXCI.
TEdenue cous FectuS ABC D Ccctus per axem exhibens criangulum
LABD, cuius lacera sinc asympcori hyperbolx PF. HI per axem Facta
conoideos F F GII: dueca deinde contingenre L. I sccrionem in P quae
equidister BD, de seribatur circulus radio L. E, de super ba(i IK L. Pona-
curcylindrus PNINO
ede
to seb.
b1d. cira
Circumcinsit.
Oubconoides F FCHIaequat aoom uoat LMHI
Demon
  e        ta t e e et se e t  s ti e u  e    e    i  t ue e t e  t    te e es e  o e e s  e e te e    s e  i e  e  11 B