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Possible geometric basis for a solution of IM 67118. Solid lines of the figure show stage 1; dashed lines and shading show stage 2. The central square has side b − a. The light gray region is the gnomon of area A = ab. The dark gray square (of side (b − a)/2) completes the gnomon to a square of side (b + a)/2.
'A Map of the Myriad Countries of the World'; Italian: Carta Geografica Completa di tutti i Regni del Mondo, "Complete Geographical Map of all the Kingdoms of the World"), printed by Italian Jesuit missionary Matteo Ricci at the request by Wanli Emperor in 1602, is the first known European-styled Chinese world map (and the first Chinese map to ...
Many of the oldest surviving maps from China dates between the 16th to 17th centuries, these include the Sihai Huayi Zongtu (1532) and the Shanhai Yudi Quantu (1609). [56] Similar to these, the earliest European style map from China, the Kunyu Wanguo Quantu (1602) influenced and was exported to Japan [57] and Korea. [58]
Map of Maximus Planudes (c. 1300), earliest extant realization of Ptolemy's world map (2nd century) Gangnido (Korea, 1402) Bianco world map (1436) Fra Mauro map (c. 1450) Map of Bartolomeo Pareto (1455) Genoese map (1457) Map of Juan de la Cosa (1500) Cantino planisphere (1502) Piri Reis map (1513) Dieppe maps (c. 1540s-1560s) Mercator 1569 ...
260 BC – Archimedes proved that the value of π lies between 3 + 1/7 (approx. 3.1429) and 3 + 10/71 (approx. 3.1408), that the area of a circle was equal to π multiplied by the square of the radius of the circle and that the area enclosed by a parabola and a straight line is 4/3 multiplied by the area of a triangle with equal base and height ...
A superpythagorean field F is a formally real field with the property that if S is a subgroup of index 2 in F ∗ and does not contain −1, then S defines an ordering on F. An equivalent definition is that F is a formally real field in which the set of squares forms a fan. A superpythagorean field is necessarily Pythagorean. [12]
In cartography, a map projection is any of a broad set of transformations employed to represent the curved two-dimensional surface of a globe on a plane. [1] [2] [3] In a map projection, coordinates, often expressed as latitude and longitude, of locations from the surface of the globe are transformed to coordinates on a plane.
He cited countries and used parallel lines to divide the map into sections, to give accurate descriptions of the realms. This was a breakthrough and can be considered the beginning of geography. For this, Eratosthenes was named the "Father of Modern Geography." [17] According to Strabo, Eratosthenes argued against the Greek-Barbarian dichotomy.