Cubic difference formula: a 3-b 3 = (a-b) (a 2+ab+b 2)
Cross multiplication
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Vieta theorem
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A triangle * * * has six hearts:
Heart: The intersection of bisectors of three angles is also the center of the inscribed circle of a triangle.
Attribute: The distances to three sides are equal.
Eccentricity: the intersection of three perpendicular lines is also the center of the circumscribed circle of the triangle.
Attribute: The distances to the three vertices are equal.
Center of gravity: the intersection of three midlines.
Property: The distance from the bisector of the three median lines to the vertex is twice the distance from the midpoint of the opposite side.
Vertical center: the intersection of straight lines of three heights.
Attribute: This point is divided into two parts of each high line.
the intersection string theorem
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Truncated chord theorem
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Property Theorem of Two Connected Circles
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Alternative method
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Properties of quadrilateral inscribed in a circle
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