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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 276, page id 845634801:0282
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=282
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Sic quadrilarerum ABCD, e an
suli oppolriDAB, DCB(ne duo
puncta B, C, D rran(Ire quoque pc
A punctum.
Reri Posiehe F aliud ab A puncto
Iraque connectatur BF, cririgitu
punctum A inera circulum vel et
era, Ec primum inera circulum. L
quoniam anguli DCB dupla amps
rudo est circumFerentia DFB, ext
anguli DFB dupla amplicudo cit
cumferentia DC B, quanta eriam ex
hypochesi es dupla amplicudo an
suli D AB. urcum illius, cum angu
DCB dupla amplirudo quaruorre
etos, id est circumterentiam eocam
ablumac. Angulo igITUE DFB aM
Sulus DAB erir aequalis. quod qu
dem est absurdum, quandoquidet
angulus D AB, qui exterior est riat
suli AFB, valet angulum AFB,
Peaererea angulum ABF. Non et
igicur inera circurum punctum A. S.
ExETA. Su Bitur duobus rectis
quales aHgHM DCB, DFB in CaCO
cicurione. Lcur anguliDCB, D.
ex hypochel. Ouare angulo FA
aequalis est angulus DFB. Duod
quidem est ablurdum, quandoqu
demangulus DFB exterior esteria
guli A L B. Leaque valet angulur
FAB e PraeterCA angulum FBA
Non est igitur extra circulum pus
ctum A. Cum itaqUENON SENCQ
exrra circulum neque inera, erit
iphus circuli circumferentia
idem ipsum quod F punctum, acc
adeo quadrilarerum ABCD erit
circulo. Oudectal ocendendum
busrectis equales. Dico quadrila
rerum ABCD esse in circulo. DC
Ecriptum videlicet circulum pe
ot
ulum enI per puncta B, C.
D ductum secer recta D A in F. et
COROLLAREVU.
admodum circa darum quadrila
rerum circulus describatur.
quidem duo opposiri anguli sum
unoon reltis aqua.
Ex his manisestum sit, quem
betur calculus, qui quidem rranabirper A punctum, secundum ea qua expolica sunt
PRO
Daconempe quadrilarero ABCD, d acta diagonia BD, ciccacrian gulum DC B deleti.
dalte
ckre
dec
eolo
ad