Dartmoor is an upland area in southern Devon, England. The moorland and surrounding land has been protected by National Park status since 1951. Dartmoor National Park covers 954 km2 (368 sq mi).
Euclidean geometry is a mathematical system attributed to ancient Greek mathematician Euclid, which he described in his textbook on geometry: the Elements. Euclid's approach consists in assuming a small set of intuitively appealing axioms (postulates) and deducing many other propositions (theorems) from these. Although many of Euclid's results had been stated earlier, Euclid was the first to organize these propositions into a logical system in which each result is proved from axioms and previously proved theorems.
An out-of-place artifact is an artifact of historical, archaeological, or paleontological interest found in an unusual context, which challenges conventional historical chronology by its presence in that context. Such artifacts may appear too advanced for the technology known to have existed at the time, or may suggest human presence at a time before humans are known to have existed. Other examples may suggest contact between different cultures that is hard to account for with conventional historical understanding.
Ley lines are straight alignments drawn between various historic structures and prominent landmarks. The idea was developed in early 20th-century Europe, with ley line believers arguing that these alignments were recognised by ancient societies that deliberately erected structures along them. Since the 1960s, members of the Earth Mysteries movement and other esoteric traditions have commonly believed that such ley lines demarcate "earth energies" and serve as guides for alien spacecraft. Archaeologists and scientists regard ley lines as an example of pseudoarchaeology and pseudoscience.
The Elements is a mathematical treatise consisting of 13 books attributed to the ancient Greek mathematician Euclid in Alexandria, Ptolemaic Egypt c. 300 BC. It is a collection of definitions, postulates, propositions, and mathematical proofs of the propositions. The books cover plane and solid Euclidean geometry, elementary number theory, and incommensurable lines. Elements is the oldest extant large-scale deductive treatment of mathematics. It has proven instrumental in the development of logic and modern science, and its logical rigor was not surpassed until the 19th century.
Mathematics and architecture are related, since, as with other arts, architects use mathematics for several reasons. Apart from the mathematics needed when engineering buildings, architects use geometry: to define the spatial form of a building; from the Pythagoreans of the sixth century BC onwards, to create forms considered harmonious, and thus to lay out buildings and their surroundings according to mathematical, aesthetic and sometimes religious principles; to decorate buildings with mathematical objects such as tessellations; and to meet environmental goals, such as to minimise wind speeds around the bases of tall buildings.
Graph paper, coordinate paper, grid paper, or squared paper is writing paper that is printed with fine lines making up a regular grid. The lines are often used as guides for plotting graphs of functions or experimental data and drawing curves. It is commonly found in mathematics and engineering education settings and in laboratory notebooks. Graph paper is available either as loose leaf paper or bound in notebooks.
Alexander Thom was a Scottish engineer most famous for his theory of the Megalithic yard, categorisation of stone circles and his studies of Stonehenge and other archaeological sites.
In archaeology, rock art is human-made markings placed on natural surfaces, typically vertical stone surfaces. A high proportion of surviving historic and prehistoric rock art is found in caves or partly enclosed rock shelters; this type also may be called cave art or parietal art. A global phenomenon, rock art is found in many culturally diverse regions of the world. It has been produced in many contexts throughout human history. In terms of technique, the four main groups are:
Fort Ancient is a Native American earthworks complex located in Washington Township, Warren County, Ohio, along the eastern shore of the Little Miami River about seven miles (11 km) southeast of Lebanon on State Route 350. The site is the largest prehistoric hilltop enclosure in the United States with three and one-half miles (18,000 ft) of walls in a 100-acre (0.40 km2) complex. Built by the Hopewell culture, who lived in the area from the 200 BC to AD 400, the site is situated on a wooded bluff 270 feet (82 m) above the Little Miami. It is the namesake of a culture known as Fort Ancient who lived near the complex long after it was constructed.
"Particle Man" is a song by alternative rock band They Might Be Giants, released and published in 1990. The song is the seventh track on the band's third album, Flood. It has become one of the band's most popular songs, despite never having been released as a single. John Linnell and John Flansburgh performed the song, backed by a metronome, for their 1990 Flood promotional video. Although it was released over a decade before the band began writing children's music, "Particle Man" is sometimes cited as a particularly youth-appropriate TMBG song, and a precursor to their first children's album, No!, which was not explicitly educational. The song is partially influenced by the theme of the 1967 Spider-Man TV series.
CastleriggStone Circle is situated on a prominent hill to the east of Keswick, in the Lake District National Park, North West England. It is one of around 1,300 stone circles in the British Isles and Brittany, constructed as a part of a megalithic tradition that lasted from approximately 3,200 BC to 2500 BC, during the Late Neolithic and Early Bronze Ages.
Carved stone balls are petrospheres dated from the late Neolithic, to possibly as late as the Iron Age, mainly found in Scotland, but also elsewhere in Britain and Ireland. They are usually round and rarely oval, and of fairly uniform size at around 2+3⁄4 inches or 7 cm across, with anything between 3 and 160 protruding knobs on the surface. They range from having no ornamentation to extensive and highly varied engraved patterns. A wide range of theories has been produced to explain their use or significance, with none gaining very wide acceptance.
Some approaches in the branch of historic metrology are highly speculative and can be qualified as pseudoscience.
The exterior angle theorem is Proposition 1.16 in Euclid's Elements, which states that the measure of an exterior angle of a triangle is greater than either of the measures of the remote interior angles. This is a fundamental result in absolute geometry because its proof does not depend upon the parallel postulate.
In mathematics, the Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides. This theorem can be written as an equation relating the lengths of the sides a, b and the hypotenuse c, often called the Pythagorean equation:
Gorley Hill is the site of a former Iron Age promontory hillfort located in Hampshire in the United Kingdom.
Fernacre, also known as Fernacre stone circle or Fernacre circle, is a stone circle located on the slopes of the De Lank River, 1.25 miles (2.01 km) northeast of St Breward on Bodmin Moor in Cornwall in the United Kingdom.
Goodaver, Goodaver stone circle or Goodaver circle is a stone circle located in the parish of Altarnun, near Bolventor on Bodmin Moor in Cornwall, UK.
Llanfechell is a village in Anglesey, Wales. It is the largest of several small villages and dispersed settlements that make up Mechell Community Council area. It is 11 miles (18 km) east of Holyhead, and 5.6 miles (9 km) west of Amlwch, in the north of the island.
