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A primitive Pythagorean triple is one in which a, b and c are coprime (that is, they have no common divisor larger than 1). [1] For example, (3, 4, 5) is a primitive Pythagorean triple whereas (6, 8, 10) is not. Every Pythagorean triple can be scaled to a unique primitive Pythagorean triple by dividing (a, b, c) by their greatest common divisor ...
The 15th parallel north is a circle of latitude that is 15 degrees north of the Earth's equatorial plane.It crosses the Saharan fringe (the Sahel) in Africa, three key peninsulas of Asia (between which parts of the Indian Ocean), the Pacific Ocean, an isthmus of Central America, the southern Caribbean, and the Atlantic Ocean.
The equator, a circle of latitude that divides a spheroid, such as Earth, into the northern and southern hemispheres. On Earth, it is an imaginary line located at 0 degrees latitude . 0°
Latitude ("−" indicates southern hemi-sphere) City Country Notes −0.25 Quito: Ecuador: Highest official capital. 0.3 Kampala: Uganda: 0.33 São Tomé: São Tomé and Príncipe: 0.38 Libreville: Gabon: −0.53 Yaren (de facto) Nauru: Country does not have an official capital; however, the government offices are in Yaren. −1.28 Nairobi ...
Latitude Locations 90° N North Pole: 75° N: Arctic Ocean; Russia; northern Canada; Greenland: 60° N: Oslo, Norway; Helsinki, Finland; Stockholm, Sweden; major parts of Nordic countries in EU; St. Petersburg, Russia; southern Alaska United States; southern border of the Yukon and the Northwest territories in Canada; Shetland, UK (Scotland) 45° N
Wade and Wade [17] first introduced the categorization of Pythagorean triples by their height, defined as c − b, linking 3,4,5 to 5,12,13 and 7,24,25 and so on. McCullough and Wade [18] extended this approach, which produces all Pythagorean triples when k > h √ 2 /d: Write a positive integer h as pq 2 with p square-free and q positive.
Geodetic latitude and geocentric latitude have different definitions. Geodetic latitude is defined as the angle between the equatorial plane and the surface normal at a point on the ellipsoid, whereas geocentric latitude is defined as the angle between the equatorial plane and a radial line connecting the centre of the ellipsoid to a point on the surface (see figure).
A tree of primitive Pythagorean triples is a mathematical tree in which each node represents a primitive Pythagorean triple and each primitive Pythagorean triple is represented by exactly one node. In two of these trees, Berggren's tree and Price's tree, the root of the tree is the triple (3,4,5), and each node has exactly three children ...