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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 691, page id 1815201908:0748
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ent
SP FR A L T5.
P R O P OI S I TID X 2.
DArabOIE AGB diaMCFEF(IE A B, ad quam ordinarim ducta sIE DB,
 ee iuneatur AB. Ducantur deinde quoruis diamerro parallelae F. H
Secances AB in F ee parabolam in C:
13eC
DieoK G, IEF, K E Sive C B, ese in concinua analosia.
Demonstratio.
DDEx O _ F ordinatim applICETUEL G, HFT. OuodE
niam D B est ad FTF, VED A 2d EI A, PCF22
6. etiam quadrarum DB est ad quadracum HIF,
hroc est adquadrarum L G, ve quadrarum D A ad 
quadracum H A. Acqui per ZO. T. conic. D A est ad
L A. vE quadracum DB ad quadracum LG: crgo
eciam D A esad I A, ve quadracum D A ad qua-
dracum FI Asergoratio D A ad L A duplicara est
racionis D A ad FI A. E.X quo pacet D A, HI A, L. A.
2c proinde P B, FK CK esse in concinua analo-
sia. Quod etac demonstrandum.
APPLICATIO
Iciam spiralis AG B; _e principium circu-
lacionis AB; describancur quocuis pri-
mocirculo BC concentrici, lecan-
ces spiralem in punctis G, Q AB
in P
Dico arcum KMIC, circulum
IEMOF, ee peripheriam BCC
esse in concinua analosia.
Moati.
192
12
RMC est ad peripheriam RM C F,
AC al AC noeper LapBL II. 110.)
veperipheria RM C F ad peripheriam BC. Oubdctal detmonttrandum.
Siminudom Coma. Guon pelipea patallela la c Concenerice RMCitirete-
FantparaIIelaS RF, K F (VE PEOP. T3. huIuS declaraNImUS:) RFCHS VErO RMC qui
Cuncexcra spiram reterane lineas K C. exira parabolam: Pcriptieria denique. BC
rectam CB, GvC K P. repraelenter.
DEr C duCaEuE reCtA A C C. AFCUS
vearcus BCCH ad peripheriam coram
BC C, sed arcus BCCN est ad pc-
ripheriam BCC, sicuE recta AC, ad
AC, Per 19. Pappi lib. 4. CrGO AFCUS
XM C est ad peripheriam RMGF, vE
        e t et e  e e  it u e   e t   te te et e  e e te te t  t. ite  e te t t      e   te t.  t ete pe  t e t ee tet e   te    te