Valerio, Luca, De centro gravitatis solidorvm libri tres

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1guli, ſed aliqua earum, quæ ab angulis ad bipartitorum
laterum ſectiones cadunt, neceſse eſt in altero triangulo
tria puncta prædicto puncto eſse ſimiliter poſita?
quod ſi
etiam extra iſtas lineas cadat vnius trianguli punctum, ne­
ceſse eſt illi ſex puncta in altero triangulo eſse ſimiliter po­
ſita: ſed ſi quod diximus de iſoſceliis ſimilibus, & æquila­
teris triangulis demonſtrauerimus, rem velut ante oculos
expoſuerimus.
PROPOSITIO.
Datis duobustriangulis iſoſcelijs ſimilibus, &
in altero eorum dato puncto extra rectam, quæ à
vertice ad medium baſis cadit, duo puncta in re­
liquo triangulo prædicto puncto ſimiliter poſita
inuenire.
Sint duo triangula iſoſcelia, & ſimilia ABC, DEF:
quorum in altero ABC, à vertice A, ad baſim BC, bi­
partitam in puncto G, cadat recta AG: atque extra hanc
28[Figure 28]
in triangulo ABC, ſit quoduis punctum H: & iuncta AH,
fiat angulus EDK æqualis angulo BAH; & vt BA, ad

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