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Es that if two chords, CD and EF, intersect at G, then: CD DG EG FG (Tangent-secant theorem) If a tangent from an external point D meets the circle at C and a secant from the external point D meets the circle at G and E respectively, then 2 DC DG DE Orthocenter The orthocenter of a triangle whose vertices are P ( x1 , y1 ) , P2 ( x2 , y2 ) and P3 ( x3 , y3 ) : 1 y1 x2 x3 + y12 1 x12 + y2 y3 2 2 y2 x3 x1 + y2 1 x2 + y3 y1 y xx +y2 1 x2+y y 3 1 2 3 3 1 2 ( x,.

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