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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 1055, page id 1815201908:1112
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CONOTDES PAR ABOLFCVH
1055
ARS
SF I
2a22
DeConoide Parabonco.
Explicatâ Spharoidis nacur d eius que propriecaribus, breurenam compendio prosequi
endimus Conoidicas maenicudines, quarum duplex est differentia: aliae etenim
marnitudines oriuntur a sectione parabola; alia ab hyperbola; quodque a parabola
pisn conoius par abolicum appelletur: quod Dero ab hyperbola, hyperbolicum.
DEFINETIO PRLM A.
Ondides parabolicutti voco Colidum ex semiparabole circula:
Productum super axe ciuldem parabo le quic(Cence.
DEFINETIO SECVNDA.
Aris Conctais patabolici linea est que in Formarione conoideos axis
paraboletuic, et lecat omnes lineas bali conoidis parallelas bifariam.
DEFTALLTO PERTIA.
Figuta conoidibus inleripra vocetur maxima figurarum que illis in-
scribi porest.
E X P L IC A F 1O
Irm plurimarrian gula patabore vetos gracia inscribipossinc,illud an-
Lscollomaltice dicacut in scriptum quod manmum ek criangulorum
qux patabe luper bahinscribi postunc. idem co de compribus, qua
conoidibus inscribuneur.
EOP
lis tuic parabolam generat.
Demonstratio.
Unis sectio conoidis para-
bolici per rectam Facta que
inFormacione conoidis immobi.
Le Psitur Cemiparabolae ABC quae
Conoides cormanie lua efeuctories
axis AB: lecundum quem la eco
AB Li allumacurq; in pacabola Ll
perimetro duo puncta C. dE C, Cx
quibus deictaneut perpendiculares
ad CCtam AB, lince CFI, C B; _ planum AC B roluntur eorsque in orbem donee
Detuehea ad punccum P. secrionis AR F. igicur FI C aequalis est ITF, Similicer
ad De ccacte Lalia tt.  detamabum Dee au C Euacatu, ia ei sla
ed aeblaa
BC aequalis BF, cum sinE exdem lince (ola SEUS OyFaCIONC UEAEK. QUarC DE CFI
     i       t        e a   p  . .     t 1          . 1    e pr  e   1 en 11