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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 670, page id 1815201908:0727
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1IIII
670
SPTR AL15.
divisa sunt in parces aequales aeque mulcas) ve arcus B C ad arcureliquum G cC B;
hoc esper r9. P’appil. 4. rem spirali AB, adDC. Ergo a primo ad vlcimum in para-
bola AD est ad D C. ve in spirali AD ad D C. Ouod crac demonstrandum.
Hlinc curtum collise analogiam veriusque fguPX:
Punctum A ut Palavista
Tansens AB, e subcenta AB.
Diameter BB.
Friangulum BAB.
Rectae ADC in parabola
Scomencum parabolicum AOB I.
Principium spIKX A.
Rectam in spirali peuamt ALB Gua CC.
ia caula cA cur lcccta B POaTUI.
Perimecrum primi circuli B CF B.
E Primum circulum.
E RectaS AD C in spirali.
Spacium spirate ta A
PROPOSITIO IV
Ecur spirx secunda revolurio BLH, Srque secundus circulus HKK,
aeqdalicer sectus in punctis LL: ducancurq; recte AK sccantes spi-
ra in L. Poluls deinde in parabola ii (dem que propolirione terria, lumatur
erangence producta, B P xequalis ipH A B; _ Cx P duc diameErUM P HK A,
cui ATB occurraL in TI. Tum FIFI seca incoridem xquales, in punctis
K, in quor lecta Fuir peripheria secunda, ducancurque randem rectX AK
secantes parabolam in I.
Dicorurlum omnes rectas A KE in eadem proportione secari a parabo.
la e spirali ex secunda revolurionenata.
Demonstratio.
DEr L alcacur diameter OTV. TTKN eA ad RDH, M AICUS HKCK P 40 2l.
cum KBFI. limilicer enim veraque lunc dinta. Led lRLdd LI, M adus
FTKaK ad arcuM KBFI, Scur colliges ex Pappirg. lib. 4. idem enim discursus
Tacir pro reuolurione secunda qui proprima: erso recta EK a in parabola est ad
XOFL YC
 tue use ut es ste e  e e i    e  t e u  t   t te A i te  e  et ete es e t  s te  te e  e   e l t su t      t su