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The difference in area for an equilateral triangle is small, just over 1%, [2] but as Howard Eves pointed out, for an isosceles triangle with a very sharp apex, the optimal circles (stacked one atop each other above the base of the triangle) have nearly twice the area of the Malfatti circles. [3] In fact, the Malfatti circles are never optimal.
Second came the Ring of Brodgar in Orkney at 103.6 metres (340 ft) in diameter and 8,430 m 2 (2.08 acres) in area, whilst third was Avebury in Wiltshire, which had a diameter of 102.4 metres (336 ft) and an area of 8,236m² (2.04 acres). [30]
Seven Wonders is a pentalogy of children's fantasy, adventure and mythological fiction books written by American author Peter Lerangis. It is based on Greek mythology and set around the Seven Wonders of the Ancient World. Jack McKinley discovers a secret organization on a hidden island, and becomes the leader of a mission to retrieve seven lost ...
The number of points (n), chords (c) and regions (r G) for first 6 terms of Moser's circle problem. In geometry, the problem of dividing a circle into areas by means of an inscribed polygon with n sides in such a way as to maximise the number of areas created by the edges and diagonals, sometimes called Moser's circle problem (named after Leo Moser), has a solution by an inductive method.
The Seven Wonders of the Ancient World (from left to right, top to bottom): Great Pyramid of Giza, Hanging Gardens of Babylon, Temple of Artemis at Ephesus, Statue of Zeus at Olympia, Mausoleum at Halicarnassus (also known as the Mausoleum of Mausolus), Colossus of Rhodes, and the Lighthouse of Alexandria as depicted by 16th-century Dutch artist Maarten van Heemskerck.
Fernacre – located on the slopes of the De Lank River, 2 km (1 + 1 ⁄ 4 mi) northeast of St Breward on Bodmin Moor. The Hurlers are a group of three stone circles on Bodmin Moor. The Merry Maidens – near St Buryan in West Penwith. Nine Stones, Altarnun – 3 km (2 mi) south southeast of Altarnun, 11 km (7 mi) west of Launceston on Bodmin Moor.
Yang Hui's magic circle series was published in his Xugu Zhaiqi Suanfa《續古摘奇算法》(Sequel to Excerpts of Mathematical Wonders) of 1275. His magic circle series includes: magic 5 circles in square, 6 circles in ring, magic eight circle in square magic concentric circles, magic 9 circles in square.
The last of the classical sources thought to be independent of the others is A Handbook to the Seven Wonders of the World by the paradoxographer Philo of Byzantium, writing in the 4th to 5th century AD (not to be confused with the earlier engineer of the same name). [18] The method of raising water by screw matches that described by Strabo. [19]