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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 849, page id 1815201908:0906
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eti2
CR
101
Det
cuale
recta
osten
C, d9
IH PL A N Y
0
Arerlecent lele circuliduo ABC, ADC in A e C punctis: quibus
diunetis, ponacur per veriusque circuli cencrum recta BF, cui paral-
lelX PONANEUED O, E S: _ D  quidem verlus A; SF. vero verlus C, OC.
curranequelines A C in L.  M: per puncta verO D, F. Cx A rectae PO.
AAHEUE ADF, A F G. lineis
deinde AD Fane xquales
D, L. I; _ D F lincis aequales
O. L. KE. deinde e AF lineis
aequales POnAnEUFE, MO.
e ip(iS F. G aqualeS SMN:
oltendimus lupra puncta
IO, _ NK ad parabolas
esse virruales.
Dico autcis corpusoeti
ex ductu plani IL. in L. IE,
quari corpori OrtO ex du-
etu OM in MH.
Demonstratio.
DRoducx FF, circulo OcCUE=
rant in P, e M E rectae cidem
occurrane in P, rectagulis ADF
requalia sune rectangula RL. I
Perhypochelim; Similirer A F. CF
rectangulis aequalia lunc rectan-
Euta NMO: sed AD F rectan-
sulis aqualia sune rectangula
PDO, _ ABC rectangulis XqUanEE F F S, rectangulis lgICIE PDO FFS
aqualia lunc rectangula TLK, OMN; Sed PDO rectangula x qualia lune re-
Etangulis FF S, (modo distancix a diameero BII Cumantur Xquales) rectanou-
liSiBITUE TLK aqualia (UNE rECtanSULA OMN: quare PL. ductum in P. K b X qu a - B +6. huius.
le est OM ducto in MNV. Ouod erar demonstrandum.
PR OP O SITIO CCXXV
PROPOSITIO CCXXV
ersecene lese circuli duo ABC. AC CMEE a C, lic aurem B cen-
a216. Bu
cescitcuto ABC in HI: deinrecta AC cransterantur in ll, l lnorma
les ad diamerrum BD, a qua bifariam dividancur in L. L: ip se aurem A II
EranSFCTAnEUEIN HL, RLO, dC INN, IO, CTUNEIR, HIM, II, OO, verx
ac Formales parabola.
C229. L1-
Dico HN superkiciem ductam in alticudinem C A, corpus extribere
aquale illi quodorirur ex ductu M lin Cciplum, minus KM ducto in Cc.
Lrrum circuli AC C, iunctilq; AC dUCANEUF eK A lINCX AG OCCUErCN
Dehno
u  at  s epes et ue ut p tete e et  tete te  A e ta st  te te  e e  e  te st   tte te te et te et t  e   a e t  e  te   t  t  . e  e d te