| Square Forms and Circles | |
|---|---|
 The sculpture in 2017 | |
 | |
| Artist | Barbara Hepworth |
| Year | 1963 |
| Medium | Sculpture |
| Location | Montreal, Quebec, Canada |
| 45°30′22″N73°34′37″W / 45.50602°N 73.57700°W | |
Square Forms and Circles is a 1963 outdoor sculpture by Barbara Hepworth, installed at Montreal's McGill University, in Quebec, Canada. [1]
Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object. Area can be understood as the amount of material with a given thickness that would be necessary to fashion a model of the shape, or the amount of paint necessary to cover the surface with a single coat. It is the two-dimensional analogue of the length of a curve or the volume of a solid . Two different regions may have the same area ; by synecdoche, "area" sometimes is used to refer to the region, as in a "polygonal area".
A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre. The distance between any point of the circle and the centre is called the radius.
In geometry, a torus is a surface of revolution generated by revolving a circle in three-dimensional space one full revolution about an axis that is coplanar with the circle. The main types of toruses include ring toruses, horn toruses, and spindle toruses. A ring torus is sometimes colloquially referred to as a donut or doughnut.
In elementary geometry, two geometric objects are perpendicular if their intersection forms right angles at the point of intersection called a foot. The condition of perpendicularity may be represented graphically using the perpendicular symbol, ⟂. Perpendicular intersections can happen between two lines, between a line and a plane, and between two planes.
Squaring the circle is a problem in geometry first proposed in Greek mathematics. It is the challenge of constructing a square with the area of a given circle by using only a finite number of steps with a compass and straightedge. The difficulty of the problem raised the question of whether specified axioms of Euclidean geometry concerning the existence of lines and circles implied the existence of such a square.
In Euclidean geometry, a square is a regular quadrilateral, which means that it has four equal sides and four equal angles. It can also be defined as a rectangle with two equal-length adjacent sides. It is the only regular polygon whose internal angle, central angle, and external angle are all equal (90°), and whose diagonals are all equal in length. A square with vertices ABCD would be denoted ABCD.
In geometry, a zonohedron is a convex polyhedron that is centrally symmetric, every face of which is a polygon that is centrally symmetric. Any zonohedron may equivalently be described as the Minkowski sum of a set of line segments in three-dimensional space, or as a three-dimensional projection of a hypercube. Zonohedra were originally defined and studied by E. S. Fedorov, a Russian crystallographer. More generally, in any dimension, the Minkowski sum of line segments forms a polytope known as a zonotope.
Peel station is a Montreal Metro station in the borough of Ville-Marie in Montreal, Quebec, Canada. It is operated by the Société de transport de Montréal (STM) and serves the Green Line. The station opened on October 14, 1966, as part of the original network of the Metro.
Victoria Square is a town square and public space in the Quartier International de Montréal area of downtown Montreal, Quebec, Canada, at the intersection of Beaver Hall Hill and McGill Street. The Square forms an integral component of the city's urban public transit system and constitutes a 'prestige address' for the international face of the city. It is bordered by Viger Street to the north, Saint Jacques Street to the south, Beaver Hall Hill to the west and Square Victoria Street along the eastern side. As with other city squares, Square Victoria is open 24 hours per day to all citizens of Montreal and provides the role of an urban breathing space, with dense foliage to the south that tapers as the square rises up Beaver Hall Hill.
Downtown Montreal is the central business district of Montreal, Quebec, Canada.
Place d'Armes is a square of the Old Montreal quarter of Montreal, in Quebec, Canada anchored by a monument in memory of Paul de Chomedey, founder of Montreal. Buildings that surround it include Notre-Dame Basilica, Saint-Sulpice Seminary, New York Life Building, Aldred Building, Bank of Montreal head office and 500 Place D'Armes.
Fourcès is a commune in the Gers department in the Occitanie region in southwestern France known for its circular square.
McGill Street is a street in Montreal named after James McGill after whom McGill University is named. The former head office building of Canadian National Railway Company, built for its predecessor Grand Trunk Railway, still stands on McGill Street and is now occupied by Quebec government offices.
In geometry, a pentagon is any five-sided polygon or 5-gon. The sum of the internal angles in a simple pentagon is 540°.
Dorchester Square, originally Dominion Square, is a large urban square in downtown Montreal. Together with Place du Canada, the area is just over 21,000 m2 (230,000 sq ft) or 2.1 ha of manicured and protected urban parkland bordered by René Lévesque Boulevard to the south, Peel Street to the west, Metcalfe Street to the east and Dorchester Square Street to the north. The square is open to the public 24 hours a day and forms a focal point for pedestrian traffic in the city. Until the creation of Place du Canada in 1967, the name "Dominion Square" had been applied to the entire area.
In geometry, the lune of Hippocrates, named after Hippocrates of Chios, is a lune bounded by arcs of two circles, the smaller of which has as its diameter a chord spanning a right angle on the larger circle. Equivalently, it is a non-convex plane region bounded by one 180-degree circular arc and one 90-degree circular arc. It was the first curved figure to have its exact area calculated mathematically.
The Victoria Memorial is a sculpture placed at the centre of Victoria Square in Montreal, Quebec, Canada.
Cabot Square is an urban square in Montreal, Quebec, Canada between the former Montreal Forum and the former Montreal Children's Hospital. The square is in the Shaughnessy Village neighbourhood, an area recently re-dubbed the Quartier des Grands Jardins and has been slated for redevelopment.
Sé is a central station on Line 1 (Blue) and Line 3 (Red) of the São Paulo Metro. It is located under the Praça da Sé, next to the São Paulo Cathedral. It was officially inaugurated on 17 February 1978.
The quadratrix or trisectrix of Hippias is a curve which is created by a uniform motion. It is one of the oldest examples for a kinematic curve. Its discovery is attributed to the Greek sophist Hippias of Elis, who used it around 420 BC in an attempt to solve the angle trisection problem. Later around 350 BC Dinostratus used it in an attempt to solve the problem of squaring the circle.
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