9/10/2023 0 Comments Perfect hexagonSince all of the central angles (surrounding a point) must add to 360º, we know the m∠ POE = 60º (360º - 300º = 60º). Since the interior angles of an equilateral triangle each contain 60º, m∠ COD = m∠ BOC = m∠ AOB = m∠ POA = m∠ DOE = 60º. Δ AOB and Δ POA are also equilateral triangles. Δ DOE is an equilateral triangle since it has 3 sides of equal length ( DO and OE are radii lengths and DE is a copy of this radii length). But how do we know for sure that the last length, EP, coincided exactly with point P? Is EP actually the same length as the other copied radii? Triangle, Right Triangle, Isosceles Triangle, IR Triangle, Quadrilateral, Rectangle, Golden Rectangle, Rhombus, Parallelogram, Half Square Kite, Right Kite, Kite, Right Trapezoid, Isosceles Trapezoid, Tri-equilateral Trapezoid, Trapezoid, Obtuse Trapezoid, Cyclic Quadrilateral, Tangential Quadrilateral, Arrowhead, Concave Quadrilateral, Crossed Rectangle, Antiparallelogram, House-Shape, Symmetric Pentagon, Diagonally Bisected Octagon, Cut Rectangle, Concave Pentagon, Concave Regular Pentagon, Stretched Pentagon, Straight Bisected Octagon, Stretched Hexagon, Symmetric Hexagon, Parallelogon, Concave Hexagon, Arrow-Hexagon, Rectangular Hexagon, L-Shape, Sharp Kink, T-Shape, Square Heptagon, Truncated Square, Stretched Octagon, Frame, Open Frame, Grid, Cross, X-Shape, H-Shape, Threestar, Fourstar, Pentagram, Hexagram, Unicursal Hexagram, Oktagram, Star of Lakshmi, Double Star Polygon, Polygram, PolygonĬircle, Semicircle, Circular Sector, Circular Segment, Circular Layer, Circular Central Segment, Round Corner, Circular Corner, Circle Tangent Arrow, Drop Shape, Crescent, Pointed Oval, Two Circles, Lancet Arch, Knoll, Annulus, Annulus Sector, Curved Rectangle, Rounded Polygon, Rounded Rectangle, Ellipse, Semi-Ellipse, Elliptical Segment, Elliptical Sector, Elliptical Ring, Stadium, Spiral, Log.Proof of Construction: PA = AB = BC = CD = DE since these lengths represent copies of the radius of circle O. 1D Line, Circular Arc, Parabola, Helix, Koch Curve 2D Regular Polygons:Įquilateral Triangle, Square, Pentagon, Hexagon, Heptagon, Octagon, Nonagon, Decagon, Hendecagon, Dodecagon, Hexadecagon, N-gon, Polygon Ring
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