Intersecting chord theorem

The tendons set is a set of elementary geometry and describes a relationship between the routes that are formed by two intersecting chords.

Specifically, he states:

Wording of the sentence

Given a circle with two chords that intersect at a point. The points of intersection of the circle with a chord are with and that with the other tendon and inscribed. Then:

Denoting the tendon sections as shown in the drawing, and, this is the statement of the theorem:

The statement can be formulated as a rate equation:

Or

Reversal

It is the converse of the theorem: If is true of the diagonals of a rectangle with the diagonal intersection:

Then has this square has a perimeter.

Related to the amount set

The tendons set can also be regarded as a generalization of the amount set by Euclid. If you choose the two tendons namely, so that one of them the diameter corresponds to and the other is perpendicular to it, thus forming their endpoints with the endpoints of the diameter according to the theorem of Thales a right triangle and the statement of the tendons rate corresponds to that of the height set of Euclid.