Inscribed
The word is derived from the Latin "scribere"  to write or draw. It means to draw something inside something else.
In geometry it usually means drawing one shape inside another so that it just touches.
For example,
the figure on the right is a circle inscribed in a triangle. This is also called the
incircle of the triangle.
The opposite
When something is drawn around the outside of another shape, it is called
circumscribed  'drawn around'.
The angle inscribed in a semicircle is always 90 degrees
Peripheral angle: see 'inscribed angle'
How to construct (draw) a regular pentagon inscribed in a circle. The largest pentagon that will fit in the circle, with each vertex touching the circle.
How to construct (draw) a regular hexagon inscribed in a circle with a compass and straightedge or ruler. This is the largest hexagon that will fit in the circle, with each vertex touching the circle. Ina regular hexagon, the side length is equal to the distance from the center to a vertex, so we use this fact to set the compass to the proper side length, then step around the circle marking off the vertices. A Euclidean construction.
How to construct a square inscribed in a circle. The construction starts by drawing a diameter of the circle, then erecting a perpendicular as another diameter. The resulting four points define a square. A Euclidean construction.
How to construct (draw) an equilateral triangle inscribed in a given circle with a compass and straightedge or ruler. This is the largest equilateral that will fit in the circle, with each vertex touching the circle. This is very similar to the construction of an inscribed hexagon, except we use every other vertex instead of all six. A Euclidean construction.
Definition of the incircle of any triangle or regular polygon.
Definition and properties of a quadrilateral inscribed in a circle. Sometimes called a cyclic quadrilateral.
Definition and properties of the inscribed angle of a circle
A demonstartion of the fact that linking the midpoints of any quadrilateral always produces a parallelogram
Definition and properties of a square inscribed in a circle.
Definition and properties of the incircle of a triangle
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