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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 393, page id 845634801:0399
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25 primao
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RE SPON SOR VM. LTBER VIII.
Ad quincuncem, et ica dimidia semidiametet ad duas uncias cum semisse, ac denique
ita dimidia semidiameter aucta quinca parre ad cres uneias quadrancemre circumteren-
FIX. REverO RHI est dimidia semidiameter aucta quinta parre, est enim ut B A ad AF, ic 2
BCadGC hive lonoirudine, sive porestare. Sed quadrarum ex BC ad quadrarum exGC
est, uc BH adFIC. Ergo quadrarum ex B A ad quadcarum ex A F est, uc BH ad HI C. F.F
Per SynereEn es quadrarum ex B Fad quadrari ex B A, uEBC ad BFI. Oualium aurem
BA FO, calium FA5, BF ~ 125, BC20. EF quoniam est ur 225 ad 100, ira 20 ad 16, calium
Criam BHI est F6, acque ideo AFI6. F.sigirur ALLa qualis dimidix BA au CtX quinEA Parce.
ONare COM AEBE A Iad AE, ita A FY ad A R: CFIE A R XQUaLIS GUAATANEI CILCHHIILCTCMCIa
circuli. Ouadranti igitur circumferencix dari circuli, invenca est recta AR PEOXIMCX
qualis. Quod Faciendum erat.
PROPOSTTIO NV.
Invenire quadratum circulo proxime aquale.
Sub A centro describatUE
circulus sectus quadritariam a
duabus diamerris BC, DF, Cele
Perpendiculariter intersecanri-
buSIn A, CE In AD PONAEUIE AF
aequalis dimidixe CF, dE peF F
inscribatur BG. ScCCtuF aurem
A C vec exeremam ex mediam
racionem in EI, _ (IC AFI minus
segmencum, IIC majus. EcHaC
UE BEIadBF, ita BC ad BI, jun-
cta videlicer FHI, d acta C l ip(1
HIF parallela. DicoBF esse la-
cus quadrari circulo BE C D
proxime aqualis.
Est enim BHI ad BC, SiCUE
tora continuata minore seg
meneo ad rocam duplam. IFa-
que uc BH ad BC, sC qux
Pocest quadraro sesquialrerum
Temidiamerri ad lacus quadrari
circulo equalis proxime. Sed BF porest quadraco se squialcerum semidiametri. Polira est
enim F. A equalis dimidia C F. Duoniam igitur est uc BHI ad B C, ita B F ad B L: eric BL
lacus quadrari circulo D B E. C aequalis proxime. Deleribatur iraque ipsum quadra-
TUm BIKL.
Invencum estigitur B L K L. quadrarum, circulo B D C F proxime aquale. Quod erat
Faciendum.
C A P V F XVF
De alcera methodo quadrandi circulum per anculum anculo, qui fit a can-
sente helicem, ex diamerro circuli, proxemodum aequalem.
Tanon describanturvOIuIEX, nCque FanEanEE ua P emsquornor Neyor, aE-
tamen quanti sinc anguli in volutarum contactu, quanexre rectae,
duxe iis angulis LubEendUNEUE, FaTIOCINAMUIE Em SquovNCS, C pnZavun jurat
ExVIrH, FexVy ponZariri, ut hoC capice placet exemplificari. ee guadrandi
circulum eam proxime quam placuerit rero, methodum bene paratam,
neque dusunx avor exhibere, qua haud scio an alia postit proponi generalior
 artiticiolIOF.
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