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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 791, page id 1815201908:0848
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EN P L A N V N.
t  d d
IIdem poliris.
 Dicoplanum L. HI ductum in alcicudinem TK xequalet proterre
molem illi qua exlurgie ex HII ducco in ITK.
1113CS, 2
Demonstratio.
1st
rehiam proporcionalos sunE P, KL, FTK, TR, rCCTA L II est ad HIINLRAdHR,
LiaCHHIK alLR. Duare rectagula L. HI, IK aequantur rectangulis HIP FI R. qua-
TC A F H ductum in alticudinem L K, corpus prodicirae quale illi quo d oricur, ex du- 2 46. huius;
An FIL in FIXE. 1. 9V1
1..
P R O P OSITIO CZZXVI
Vacttarai circuli AC FI inscripea sic parabola AD H habens axicem
A: iunetaque AHE, ponacur concingens parabolam in A in qua
lumpro quonis puncto B dueatur BCD F F 1.
Dico B C planum duccum in B Laquari B D plano ducco in alcicudi-
nem BF. 1
del Demonstratio
caitst
Veancur more solico quocuis BCDFF F
parallelx ad AC b quadracis BF xequalia
sunc rectangula DBF, sed e F B quadraris
ad est veiam sapius octentum est quadracis AB,
aequalia lunc rectangula C BE: rectangulaigi-
cur C BI aequalia lune rectangulis DBF; &
BC. ductum in BI aequatur D B ducto in al
cicudinem BF. 111  2c12
ejeric
B67. Parab
t elac
o  u in DF aequam
CD plano ducto in DI.
PROPOSITIO CXXX
IIdem poscis:
Demonstratio.
Ectangula BFD XquaHA IUHEquadratis C F: quadIAEZ verO FC d aequalia c20+ pa
sunt rectanoulis C Dlina cum quadratis DF; ceccanoula ioicur BF D id cl
BDF rectangula vna cum Guadracis LO aequalia lune rectangulis CDI una cum
quadratis FP: ablacisisicur communibus quadrars DF, rectangula CD I aqua-
lia sunc rectangulis BDF. quare ex D B planum ductum c in D F aequatur C D du- c 46. huius.
eto in DI. Duod erat demonstrandum.
PROPOSITIO LAKAVIII
15. secundi.
Deducraque ex C cero normalirer G F qux CD linex occurrar in
N e perimerro circuli M; hanc proporrionales GHI, GP, GF: _E per
CFD puncea Darabord delcribatur C IE F. D: ducris deinde HT F. lineisin-
siniris ad P N paraltens tanc hisaquales FI, F. I.
EThhhR 2
Emicirculum (CCeE FCCFA g.I2dam CD aequidictans diamerro AB.
Dico
 o ite stat uet et ste te et tet tee set ut a etistet t e  se  t t te  e se e s    t t   t ste t     e     p tilit.