Equilateral pentagon of δ can be seen from the figure: Simplifying, δ is obtained as function of α and β: The remaining angles of the pentagon can be found geometrically: The remaining angles of the orange and blue triangles are readily found by noting that two angles of an isosceles triangle are equal while all three angles sum to 180°. Then formula_7 and the two remaining angles of the green triangle can be found from four equations stating that the sum of the angles of the pentagon is 540°, the sum of the angles of the green triangle is 180°, the angle
Kings of the Angles have occurred on an island named Scani or Scandza (Scania), and according to William of Malmesbury ("Gesta regum Anglorum") he was later chosen as King of the Angles, reigning from Schleswig. His descendants became known as Scefings, or more usually Scyldings (after Sceldwea). The "Anglo-Saxon Chronicle" derives the royal lines of the Heptarchy from a common ancestor, Woden, a euhemerized version of the Germanic deity, and said to be a descendant of the aforementioned Sceaf. The senior line of this genealogy was that of Mercia, descended from the rulers of the Angles. The historical Anglo-Saxon invasion of Britain took place