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Theorem of Geometric Mean

33.If S is th...

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33.If S is the circumcentre, O is the orthocentre of triangle ABC, then vector SA+SB+SC equals

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S

is the circumcentre,

O

is the orthocentre of

△ A B C

¯ ¯¯¯¯¯¯ ¯ S A + ¯ ¯¯¯¯¯¯ ¯ S B + ¯ ¯¯¯¯¯¯ ¯ S B

S

is the circumcentre,

O

is the orthocentre of

Δ A B C

¯ ¯¯¯¯¯¯ ¯ S A + ¯ ¯¯¯¯¯¯ ¯ S B + ¯ ¯¯¯¯¯¯ ¯ S C

S

is the circumcentre,

O

is the orthocenter of

△ A B C,

S A + S B + S C =

S

is the circumcenter,

O

is the orthocenter of

△ A B C

\to S A + \to S B + \to S C =

S

is circumcenter,

G

O

the orthocenter of

Δ A B C

S A + S B + S C

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