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# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio 14, page id 834940469:0022
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Concinue proponionaliai se ex praedicislatis Facile collio
pocesiraperium AILP eAc dimidium polrsoni ABDL. P
ee craperium AIOP eAc dimidium polrgoni ABF. IOP 
trianeulum AIP esse dimidium eraperii ABIP: ee proinde
cerminos duplicando, polrgonum ABD L P, Bolygonune
ABEIOP de craperium ABIP sunc contnue proportionalia,
quod demonstrare oportuir.
Ducantur rectae C C3, IE N, segmentum tangences in pun-
Ais F. O, _ rectis DL, DB, L. P, OccurrenteS in puNCtISC, Con
CoH re compleatur poly Sonum ABC CKNP.
PROP. V. THEOREMA.
DICO CrAPEBIUM ABIP ex polconum ABFIOP simul, esse ad
DOIyEOn ABFIOP; V duplum polyEOnI ABL 1OL
adt poly eonum ABC C, KNP.
Xhuiustertia manifectum estcriangutum ABL SC EraPC
, Zium ABEISImUI, eNe Ad EraPCZIUM ABEL, ve duplum
traperii ABFLad polrgonum ABCCI: _ ex praedictis fa-
cile concludi poresteriangulum ABIesse dimidrum crape-
zii ABIP, Sc:rapexium ABF L esse dimidium poly goni A
BE IOP. _ polrgonum ABCC Lese aimicium polygoni
APCCIIENP; e proinde termnos duplICandO, EFSPCZIUm
ABIP X pOlYEOtuM ABEIOP simul, erune ad polyeonum
ABIOP ve duplum colVGOM ABLIOP ad potygonum A
BCGHP, quod demonstrandum erac.
Fimc Facile collisi porest polrgonum ABC C, H N P esse
medium harONICUM inEer BOLISONA ABETOP, ABDIP
quodhic admonuisse sufficiar, in sequencibus enim demon-
ltrabieurs
m
B3 Scst hFC