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libro de geometria preuniversitaria nivel uni click aqui para ver

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POLIEDROS<br />

TEOREMA DE EULER<br />

TEOREMA<br />

Convexo<br />

Capítulo<br />

17<br />

C = 5<br />

V = 5<br />

A = 8<br />

POLIEDROS<br />

POLIEDROS REGULARES<br />

cara<br />

vértice<br />

vértice<br />

C + V = A + 2<br />

Arista<br />

No Convexo<br />

5 + 5 = 8 + 2 7 + 10 = 15 + 2<br />

S ic = suma <strong>de</strong> los ángulos<br />

internos <strong>de</strong> todas las caras.<br />

S ic = 360º (A - C) = 360º(V - 2)<br />

A : número <strong>de</strong> aristas<br />

V : número <strong>de</strong> vértices<br />

C : número <strong>de</strong> lados<br />

*<br />

Sean : n 1 , n 2 , n 3 , n 4 , .......<br />

Los números <strong>de</strong> lados <strong>de</strong> las caras<br />

<strong>de</strong>l sólido.<br />

n1 n2<br />

n3<br />

n4<br />

Aristas =<br />

2<br />

C = 7<br />

V = 10<br />

A = 15<br />

...

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