Gergonne Point

The Gergonne point Ge is the perspector of a triangle and its contact triangle . It has equivalent triangle center functions

Contact Triangle

The contact triangle of a triangle , also called the intouch triangle, is the triangle formed by the points of tangency of the incircle of with .

Adams' Circle

Given a triangle , construct the contact triangle . Now extend lines parallel to the sides of the contact triangle from the Gergonne point. These intersect the triangle in the six points , , , , , and . C. Adams proved in 1843 that these points are concyclic in a circle now known as the Adams' circle.

Circle

A circle is the set of points in a plane that are equidistant from a given point . The distance from the center is called the radius, and the point is called the center. Twice the radius is known as the diameter . The angle a circle subtends from its center is a full angle, equal to or radians.

In planimetry theorem, in stereometry unsolved problem

U planimetriji teorem, u stereometriji nerijeseni problem

Incircles in a quadrilateral and its subtriangles

Кружници во четириаголник и негови субтриаголници

Теорема на Vivianli

Vivianli's theorem

О НЕКИМ ИНТЕРЕСАНТНИМ ПРИМЕНАМА НЕЈЕДНАКОСТИ ТРОУГЛА

Srediste trokutu upisane kruznice i Eulerov pravac

Similar Triangles Problems - Solutions

Similar Triangles - Problems