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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 37, page id 845634801:0053
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# Lines: 57 recognised, mean confidence 0.88
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OT A PRTORF
R OP OSTFTO LI
Triangulo rcCFaLG CIO ANGUNMM-
5.
Friangulum anguli quadrapli
li quadrupi, cescs trransulum re-
ctansulum ria lynareleos, constituerc. 
rocetur aurem illud anguli quincu- Bc.
pli.
Suneo duo criangula rectangula. Vnum
aneuli simpli, cujus hyporenula A, basISD,
perpendiculum B. Alcerum anguli quadcupli.
cujus hyporenula consequenter similis A qua-
deaco- guadrato, ec. Oporreat ab illis duobus
cerrium vialrnareseos, constiruere. Fint deductio, ut docuit plopslirio 46. caluprimo.
Fir hyporenula similis AgC. BalisD gC, -DC in B910. F D in B 99. 5. Lerpendicu-
lum simile D99. in B5, = D9. in BC. 10, Y B9C.
EX IIIS ARGVILCIK
Contectarium genexale in Mau-
etionibus criangulorum rectan-
Sulorum.
Si qua porestas componatur à bino-
mia radice, de Singularia Facta homoge-
nea distribuancur in duaS ParEeS (UCCCMI-
ve, ucrobique primum adhrmaca deinde
negaca, ee harum prime parci similis AaE
balis crianguli rectanguli alicujus, per-
pendiculum alceri. Fric hyporenula simi-
lis ipsiporectari. Cum aurem rriangulum
illud cujus basis similis sc, vel aequalis u-
ni eradicibus composirionis, perpendiculum vero alceri, à suo cui perpendiculunr
subrenditur angulo, denominationem Corrierur. Priangula lane ab iildem radicibus di-
ducta, per quoscunque porectatum ordines commode ab eodem anoulo mulciplici de-
nominabuncur, sccundum condirionem porestaris. Duplo, videlicet cum porectas cst
quadratum. Friplo, cum cubus. Ouadcuplo, cum quadraco. quadrarum. Ouincuplo, cum
quadraro. cubus, et eoin intinitum progrectu.
P R OPOS FFFO LTI.
Ix adercato duarum Faccum L aeCa Catcute, triansulum
LrectaHIS CIAM, COMPOHETC.
Suneo duxe radices B, D. Oporreat 2b5 B , D, uE
nomine uno, ee B = =D ue nomine alcero, crianou-
lum rectangulum componere. Flyporenusa ioirur ex
jam eradica methodo, ter similis quadraro abs B. F D,
F guadraro absB = =D, guae duo quadraca valeneB9.
2+ D9. 2. BaS Rec Cimilis quadraco ex B L D
=quadraco Cx B--D, la cst lmitiS hec B MM V 4.
G9 Dg. in B96 + B99
Lriangulum angul guttpI.
9c
plis de triangulo rectanoulo anou-
DGC- -DC. in B9 10.
Din B94. 5.
B -- D 2, 1d CA B9. 2, =9. 2
39.
Quodopus in idem cccidie, ac li ab ipsis radicibl
componeretur laceribus, qua sectum angulum con- Bin D qu’ale
ciruune permuraris.