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...
- 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...
- 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...
- 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...
- 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...
- 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)...
- In geometry, the equal incircles theorem derives from a ****anese Sangaku, and pertains to the following construction: a series of rays are drawn from...
- every tangential quadrilateral other than a rhombus, the center of the incircle lies on the Newton line. Let ABCD be a tangential quadrilateral with at...