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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 384, page id 845634801:0390
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V AR TORYM DE REBVS HIA ZH E M A ZTCFS
ejusdem circuli BCD seu ci aequalis BED dux Ix ampi, aequalis est circum ferenri
FAB. Facem igicur aequalis quoque est dupla amplicuarm anguli lunaris ABF D. Sect.
aurem esto vitariam F.AB circum Ferentia in A. AHS Lunaris ABED definica el
amplicudo, videlicet Cicumlerentia BA. Ouod Faciendum erar.
PROPOSTTTO VI.
Friangula mistilinea, lunulis quas aquales circuli describune, exhibere
384
equalIa.
Duo xquales circuli unuS ABCD.
alter BF D describane lunulan
ABED. OpOrTCE LUnUIX ABED ex
hibere eriangulum mistilineum a
quale. Subcendatur BD, cruncigicu
circumterentix BED, BCD aquales
est aucem B Dminor diamerro, AC
nim essec communis diamerer duc
rum aequalium circulOrU COnCUErC
rene illi, non eriam lunulam deseri.
BCrenE. Ouare SecatUE circuluS qui
liber inxequalirer. Sit aurem superio
circulus ABCD, à quo dempea lu
nula relinGLATE AguI Xcegrotdu
E BCD. E.A igirur circumterentis
DABmajor circumFerentia BCD, Cet
BED. Ouare a circumferentia BA
auFCratuF Circum FereNEIa BC circum
FerenEIA BC D sCuB E D aequalis,  manifectum est criangulum mistilincum CB)
crura habets aequalia BG, BD, ip la sque rectaslincaS; balin vero BD circumferentiant
lunula ABCD esse aequale. Tancum enim derealile lunula sccrio BC, quancum eide
addic lectio VD. CaMHHEBD, BC lectionesmese aequales.
ROPOSTTLO VII.
Si abUnAGLAGUE EXTeMiTatuM diaMCCH, IUIMLMLHI HI C UdeM Datten
cacum, inscribantur linex rectae ad terminos sumpearum x qualium ct
cumterentiarum: Spatium cir cu Guod interiac et incer diamctrum et pic
rimam inscripeam, adjuetu seco circuli, quam Facie altera in (Cxipla
rum, aquale est duobus sectoribus qui sub aequalitus sumpris circumte
Sit circulus sub A cenero, dime
tiente quacunque BC delcripeus.
in eande parrem circuli à dimetient
BC bitariam secti sUI ANEUF CIrCUI
Ferentix CD, BE aequales, et subret
danturBD, BE, agantur quoque le
midiametri AD, AF. Dico spaciurE
comprehentum a rectis BD, BCd
circumferentia DC, aequari lector.
buSBAF, C AD. Triangula enimre
Ctilinca B AF, D AC aequalium sUI
laterum e angulorum. Duoniam a1
tem in angulo rectilineo BDC rect.
DA secar bitariam ba sin BC, ideo le
cac quoque bitariam ipsum erial
IuI
circuli duxe circumterentix xquales; ab alcera aurem carundem eXFrCu
Lenciis COTHPLChENdUNEUT.
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