Posts in category 'polygons'
G.146 segment fitted into a circle
A:term:segment <G.4> is said to be:term:**fitted into a circle** <fitted-into-circle> when its:term:extremities <G.6> are on the arc of the:term:circle <G.10>.
G.147 fit a chord in a circle equal to a segment
Fit into a given circle a chord equal to a given segment not greater than the diameter of the circle.
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.150 polygon circumscribed about a circle
A:term:polygon <G.12> is said to be:term:**circumscribed about a circle** <circumscribed-about-circle>, when each side of the circumscribed:term:figure <G.9> touches the arc of the:term:circle <G.10>.
G.151 circumscribe a triangle about a circle equiangular with a triangle
Circumscribe about 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.155 polygon circumscribed about a polygon
Similarly a:term:figure <G.9> is said to be:term:**circumscribed about a figure** <circumscribed-about-figure> when the respective sides of the circumscribed figure pass through the respective:term:angles <G.22> of that about which it is circumscribed.
G.156 circle circumscribed about a polygon
A:term:circle <G.10> is said to be:term:**circumscribed about a figure** <G.155> when the arc of the circle passes through each:term:angle <G.22> of the:term:figure <G.9> about which it is circumscribed.
G.157 circumscribe a circle about a triangle
Circumscribe a circle about a given triangle.
G.158 inscribe a square in a circle
Inscribe a square in a given circle.
G.159 circumscribe a square about a circle
Circumscribe a square about a given circle.
G.160 inscribe a circle in a square
Inscribe a circle in a given square.
G.161 circumscribe a circle about a square
Circumscribe a circle about a given square.
G.162 construct a golden isosceles triangle
Construct an isosceles triangle having each of the angles at the base double the remaining angle.
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.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.