Posts tagged 'inscribed'
G.148 polygon inscribed in a circle
A:term:polygon <G.12> is said to be:term:**inscribed in a circle** <inscribed-in-circle> when each:term:angle <G.22> of the inscribed:term:figure <G.9> lies on the arc of the:term:circle <G.10>.
G.149 inscribe a triangle in a circle equiangular with a triangle
Inscribe in a given circle a triangle equiangular with a given triangle.
G.152 polygon inscribed in a polygon
A:term:polygon <G.12> is said to be:term:**inscribed in a polygon** <inscribed-in-rectilineal-figure> when the respective:term:angles <G.22> of the inscribed:term:figure <G.9> lie on the respective sides of that in which it is inscribed.
G.153 circle inscribed in a polygon
Similarly a:term:circle <G.10> is said to be:term:**inscribed in a figure** <circle-inscribed-in-figure> when the arc of the circle touches each side of the:term:figure <G.9> in which it is inscribed.
G.154 inscribe a circle in a triangle
Inscribe a circle in a given triangle.
G.158 inscribe a square in a circle
Inscribe a square in a given circle.
G.160 inscribe a circle in a square
Inscribe a circle in a given square.
G.163 inscribe a regular pentagon in a circle
Inscribe an equilateral and equiangular pentagon in a given circle.
G.165 inscribe a circle in a regular pentagon
Inscribe a circle in a given equilateral and equiangular pentagon.
G.167 inscribe a regular hexagon in a circle
Inscribe an equilateral and equiangular hexagon in a given circle.
G.168 inscribe a regular pentadecagon in a circle
Inscribe an equilateral and equiangular fifteen-angled figure in a given circle.
G.551 similar polygons inscribed
Similar polygons inscribed in circles are to one another as the squares on the diameters.
G.574 circles center inscribe
Given two circles about the same center, to inscribe in the greater circle an equilateral polygon with an even number of sides which does not touch the lesser circle.
G.577 spheres center inscribe
Given two spheres about the same center, to inscribe in the greater sphere a polyhedral solid which does not touch the lesser sphere at its surface.
G.587 side hexagon decagon
If the side of the hexagon and that of the decagon inscribed in the same circle be added together, the whole segment has been cut in extreme and mean ratio, and its greater segment is the side of the hexagon.
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.590 equilateral triangle inscribed
If an :term:`equilateral triangle <G.13>` be :term:`inscribed in a circle <G.148>`, the :term:`square <G.63>` on the side of the :term:`triangle <G.12>` is triple of the square on the radius of the :term:`circle <G.10>`.
G.601 set out sides
To set out the sides of the five figures and to compare them with one another.