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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 1056, page id 1815201908:1113
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CONOIDES PAR ABOLICVM.
1056
cuius afe AB. Bicacu Polla Tul 16. bC; 18ut d Gdaacua 1e al
BC quadratums hoc elt quadracum HlH. 2d Bf, ita linca A HI ad AB lincam.
deacum TIF ad BE quadracum el a CL LADPONCOIC LLBL PacavOa, du
21. Parab. aGuaCa L.L  Patu. Duoderar propolirum.
Cordurunt.
Ton Colum constac ABF parabolam elle, sed eodem dileurtu parec parabolas
ABF, ABC escequales ac tmess ac prethde latus rectum quod da BC.
ternic commune elle vue o.
PR OPOSFTIO CZZEVII
Minis sectio conoics Patabolici ad axemeons tecla entetun
Cormac.
Demonstratio.
iX parabolici conoiats ACHMLIOnC ABCa L:. D quae basis est semiparabolX ADF,
LFormaneis conoides, deseribic circunum R C F, ec quia P D ordinaciit 
caca ad axem AB. orchogonalicer illi inliltic. polico isitur quovis plano AB C per
aXem AD, eric CD aequalis DF. per Corollacium praecedens, cum hc cadein pa-
rabola ABC Cum ADF: erie insuper CD recta ad AD. acto deinde plano
quocunque GBFI quodxequidister F C F, exhibens communes incerlectiones IB,
TFI, planOrum ABC, A C F _ G BFT. cruncnormalicer crectae, adeoque ordina-
cim posiea adaxem AI, linca IB ex IC: quia b parallelae sunc IC, DLi, d LB,
CD. Cum autemparabola AB C eadem sc cum parabola A C: F, hinc IG est
2d DE, Ve IB ad DC, _ DE ad DC, ve GI adIB: cum aurem aequales sinC
DE, D C, aquales quoque sune TG, TB. punctaigitur EF B H in lemicirculo ex-
istumenonminus quam E.C F. Ouod tuir demonstrandum.
PKOEOSITIO CZXXVIII. LEM MA.
Ncerlecene parabolam bina parallele AB, C. D _ F. F, G LL OCCurren.
ces sibiinuicem in punctis I e R2.
Dico rectangulum P. IF. ad CIEHI, eandem habere rationem quam
haber C ID rectangulum ad rectangulum A HB. 
ectm
Ddemon