Posts tagged 'pentagon'

G.163 inscribe a regular pentagon in a circle

Inscribe an equilateral and equiangular pentagon in a given circle.

G.164 circumscribe a regular pentagon about a circle

Circumscribe an equilateral and equiangular pentagon about a given circle.

G.165 inscribe a circle in a regular pentagon

Inscribe a circle in a given equilateral and equiangular pentagon.

G.166 circumscribe a circle about a regular pentagon

Circumscribe a circle about a given equilateral and equiangular pentagon.

G.585 angles equilateral pentagon

If three angles of an equilateral pentagon, taken either in order or not in order, be equal, the pentagon is equiangular.

G.586 equilateral equiangular pentagon

If in an equilateral and equiangular pentagon segments subtend two angles taken in order, they cut one another in extreme and mean ratio, and their greater segments are equal to the side of the pentagon.

G.588 equilateral pentagon inscribed

If an equilateral pentagon be inscribed in a circle, the square on the side of the pentagon is equal to the squares on the side of the hexagon and on that of the decagon inscribed in the same circle.

G.589 circle diameter rational

If in a circle which has its diameter rational an equilateral pentagon be inscribed, the side of the pentagon is the irrational segment called minor.

G.599 dodecahedron

A:term:**dodecahedron** <dodecahedron> is a:term:solid figure <G.529> contained by twelve equal,:term:equilateral <G.13>, and equiangular pentagons.

G.601 set out sides

To set out the sides of the five figures and to compare them with one another.