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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 696, page id 1815201908:0753
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SPIR ALF5
696
peripheria D D, similicer diuila, rectis AC, CF similicer quo que sectis; areus
concentrici B G, B C Parallelis Be: rectae demum AD in Spirali, rectis AD in
Parabola respondeanc ad amustim quemadmodum ad provol. 23. huius docuimus.
Convenicisicur spiralis cunt pacabota. Duod crat demonstrandu.
EROPOSITIOIZZV. 11C
DAIaDOLE FANSeNS SIc AC, diameeri ve
roillam sccantes BG, BC quorcun-
quc. Per puncta 6, C, ex A ducaneur recte
juxe occurrane diamerrorum vlcima CF,
in punctis DD:
Dico rectas AC, CF Similicer elte le
ctas et aequales proinde tore omnes DD,
(BB fuerincxquales.
Demonstratio.
TVnGaEE AP, ee paralIelarum vna BC OcCur.
LFAEipA A F in F. AB Cstad B C, VE AF ad
FF, hoc est per 5. Archim. de quad. parab. VeBC
ad GF; hoc Cs rE C D ad D C. Similiter OA en-
demus in singulis punctis, B, B ee D, D amiliter
ee lectas rectas e C. C L. Constacigitur veritascheoremaris. 
c
A P P LIC Ai  IR A. L, L
CIEspiralis ACC: es cenero A ducte
Cnc quorcunque concentricae pe-
ripheriae BO occurrentes Spirali in
punctis C, C; ducantur aurem ex A
per puncta C, ad primi circuli periphe-
riam rectae AD, AP
opelpca VD, a rectam
AC similicer esse divilas. demonstrario
Cimilis est demonstrarioni praecedencis
perica epsa generatione spiralis. Simi-
icudon eo lica, quodperipheria B6,
concena e paralsele, parallelas seu
recros BC;recta AC, iplam AC In
parabola, ee Peripheria DDB exti-
mam diametrum C. P. reprelentet. Rur-
Cum igitur convenie spiralis cum para-
bola. Ouoderat demonstrandum.
2050301
LcEO.
 e  et Bo   i tes 1 s 3 e 1 v. il At l. c.) B  d el Cn vit B tole i a suiI