Definition of Incircle. Meaning of Incircle. Synonyms of Incircle

- In geometry, the incircle or inscribed circle of a triangle is the largest circle that can be contained in the triangle; it touches (is tangent to) the...
- {\displaystyle a} and b {\displaystyle b} are the legs of the triangle. If the incircle is tangent to the hypotenuse A B {\displaystyle AB} at point P , {\displaystyle...
- single point, the incenter, which is the center of the triangle's incircle. The incircle is the circle that lies inside the triangle and touches all three...
- tangent to that triangle's three excircles and internally tangent to its incircle; this result is known as Feuerbach's theorem. He proved that: ... the circle...
- the incenter only exists for tangential polygons: those that have an incircle that is tangent to each side of the polygon. In this case the incenter...
- inscribed in circles. A circle inscribed in any polygon is called its incircle, in which case the polygon is said to be a tangential polygon. A polygon...
- whose four sides are all tangent to a circle within the trapezoid: the incircle or inscribed circle. It is the special case of a tangential quadrilateral...
- to a single circle within the quadrilateral. This circle is called the incircle of the quadrilateral or its inscribed circle, its center is the incenter...
- this implies that every regular polygon also has an inscribed circle or incircle that is tangent to every side at the midpoint. Thus a regular polygon is...
- quadrilaterals (quadrilaterals with both a cir****circle and an incircle), since all kites have an incircle. One of the diagonals (the one that is a line of symmetry)...