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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 66, page id 845634801:0082
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66
Polra ixitur Z ad ditterenciam balis d ypoetae in eltinsendis duobus similibus
eriangulis, adsumarur quaeliberaliararionalis. Ex sir P, consiltensinter Znvmv. t xio vi
sulum numero, cui similia duo ettingencur triangula, primum habens B hyporenulam,
alcerum D. dc ab iis duobus diducetur cerrium, ira ur baliscertii illius compolica cC
perpendiculo primi de base secundi, iplaque consister inter N dt S, jurca problematto
condirionem.
SitBE, D;, NV2, SN3. fit Z N 10. H N8. RNV7. Positaque X I. elig tt
quaedam Y consistens inter vad  1- v  v
V
Sit illa =. EreO ab F
ex 2, seu ab5 4 e 5 ef-
fincetur rrianoulum. Et et
similia duo efsingentur
criangula datas habentia
hypocenusas 2 e 3. Et
diductr ab iis terriibasis
composita ex perpen diculo
similis primi es base s-
milisecundi fit 67 cu
jus quadrarum est 2 4 85
majus quam 2, sed mi-
nus quam 3. Perpendi-
culum veroeveniet = 23
cujus quadrarum est
2657. Ouae duo qua-
drata valent 10 sicut
quadrata ab51 es 3.
Aliud exemplum.
Sit B 2.
N 1
N
N 6. positaque X religi-
tur quaedam T consistens
inter 13 + V
21 + 10
V 2ect v 51
Sit , ergo abs 2 
e effineetur crianeu-
lum, seu abs 5 ex 6.
Et ei similia effincen.
rur duo triansula datas
habentia hypotenusas 2
Et deducti ab iis ter-
sii basis fie 252 com-
posita ex perpendiculo
primi e base secun-
di. Hujus quadratum
est 2 34 32 majus quam
6, seut    2 sed mi-
Z E YE YTCO R V II
De, ut