An apothecary (sometimes abbreviated as Apo) of a regular polygon is a line segment from the center to the center of one of its sides. This apothem is also the radius of the inscribed circle of the polygon. A polygon of n sides has n possible apothecaries, of course with the same length. In a normal polygon, the apothem is simply the distance from the center to one side, i.e.

the radius of the polygon. Every regular polygon has a radius, a pharmacy, an inscribed circle, and a perimeter.


An apothecary (sometimes apo[ 1]) of a polygonal body is a line from the middle to the middle of one of its sides. Similarly, it is the line pulled from the centre of the polyline that is vertical to one of its sides. apothem " can also relate to the length of this line part.

Normal poly-gons are the only poly-gons that have apothecaries. For this reason, all apothecaries in a poly-gon are concongruent. In the case of a normal symmetry of pyramids, i.e. a symmetry of pyramids whose basis is a normal symmetry of pyramids, the apothecary is the oblique elevation of a side surface, i.e. the shorter distances from the tip to the basis on a given surface.

In the case of a cut-off normal Pyramid (a normal Pyramid whose tip is partially separated by a level running parallelly to the base), the Apothemus is the elevation of a trapezoid side. In the case of an equilateral atriangle, the pharmacy corresponds to the line from the centre of one side to any centre of the atriangle, since the centres of an equilateral atriangle correspond as a result of the definitions.

Apothema a can be used to find the area of any normal n-sided side length poligon of side length sec according to the following equation, which also states that the area equivalent to the apothecary multiplies by half the circumference since ss = p. This equation can be deduced by dividing the n-sided poligon into ne matching equilateral equilateral tringles and then determining that the apothecary is the elevation of each trigon, and that the area of a trigon is half the basis x the elevation.

The apothecary of a periodic poly-gon is always a rectangle of the labeled sphere. This is also the minimal spacing between each side of the trapezoid and its centre. Out of this characteristic the formulation for the area of a sphere can be derived easy, because if the number of sides infinitely approximates, the area of the normal poligon approximates the area of the labeled sphere with the radii r = a. The apothemus of a normal poligon can be found in several ways.

Pharmacopoeia a of a normal n-sided poly-gon with side length s, or radius of circumference RM, can be found with the following formula: "Sagitta, Apothem and Chord." Check out Wiktionary, the free online lexicon.

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