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Congruence, two binary relations, one linking line segments and one linking angles, each denoted by an infix ≅. Line segments, angles, and triangles may each be defined in terms of points and straight lines, using the relations of betweenness and containment.
The book has a preface, thirty chapters, four appendices and an index. There are many figures, and photographs taken by the author. The book is considered the first book written about leys, and the first book to document and map alleged ley lines in Britain, primarily southern England.
The "nine dots" puzzle. The puzzle asks to link all nine dots using four straight lines or fewer, without lifting the pen. The nine dots puzzle is a mathematical puzzle whose task is to connect nine squarely arranged points with a pen by four (or fewer) straight lines without lifting the pen.
On 30 June 1921, Watkins visited Blackwardine in Herefordshire and had the idea that there was a system of straight lines crossing the landscape dating from Neolithic times. He presented his ideas at a meeting of the Woolhope Naturalists' Field Club of Hereford in September 1921, and published his first books Early British Trackways in 1922 and ...
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The poem as a whole is chiastically patterned, as Murgatroyd shows. For example, in the first section (lines 1–16) the words Bacche veni, procul, deo, post, nocte, Venus, turba and others are echoed by the same or similar words in the last section (lines 81–90), and there are similar verbal echoes linking lines 17–36 with lines 67–80. [12]
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The book is based on self-propelled wilderness expeditions Wolf has undertaken in North America, Scandinavia, and Asia. It has 24 chapters, each representing a different expedition or 'line on a map', that Wolf completed between 1995 and 2017. 16 of the chapters are from previously published articles in Explore, Westjet, Sea Kayaker, Action Asia, Wend, Paddler, River, Adventure Kayak, and ...