A bay is a recessed, coastal body of water that directly connects to a larger main body of water, such as an ocean , a lake , or another bay. A large bay is usually called a gulf , sea , sound , or bight . A cove is a small, circular bay with a narrow entrance. A fjord is an elongated bay formed by glacial action. The term embayment is also used for related features , such as extinct bays or freshwater environments.
16-712: Matilda Bay or Crawley Bay (known originally as Currie's Bay , then Sutherland's Bay ) is a natural bay in the Swan River in Western Australia , adjacent to the Perth suburb of Crawley . It extends from Pelican Point to Mounts Bay Road below Kings Park . The University of Western Australia is immediately opposite. Other landmarks on Matilda Bay include Matilda Bay Restaurant, Pelican Point Sea Scouts, Royal Perth Yacht Club , UWA Rowing Club and Mounts Bay Sailing Club. A well-known bronze sculpture that
32-465: A and b , and then connecting their common endpoint to the semicircle with a segment perpendicular to the diameter. The length of the resulting segment is the geometric mean. This can be proven by applying the Pythagorean theorem to three similar right triangles, each having as vertices the point where the perpendicular touches the semicircle and two of the three endpoints of the segments of lengths
48-477: A and b . The construction of the geometric mean can be used to transform any rectangle into a square of the same area, a problem called the quadrature of a rectangle. The side length of the square is the geometric mean of the side lengths of the rectangle. More generally, it is used as a lemma in a general method for transforming any polygonal shape into a similar copy of itself with the area of any other given polygonal shape. The Farey sequence of order n
64-402: A semicircle is a one-dimensional locus of points that forms half of a circle . It is a circular arc that measures 180° (equivalently, π radians , or a half-turn ). It only has one line of symmetry ( reflection symmetry ). In non-technical usage, the term "semicircle" is sometimes used to refer to either a closed curve that also includes the diameter segment from one end of the arc to
80-453: A bay unless its area is as large as (or larger than) that of the semi-circle whose diameter is a line drawn across the mouth of that indentation — otherwise it would be referred to as a bight . There are various ways in which bays can form. The largest bays have developed through plate tectonics . As the super-continent Pangaea broke up along curved and indented fault lines, the continents moved apart and left large bays; these include
96-505: Is located at the site of the former Crawley Baths – Eliza is displayed just offshore from Mounts Bay Road and depicts a woman preparing to dive. Matilda Bay Reserve is a recreational parkland between Hackett Drive and the river. It includes Pelican Point, which is an important breeding sanctuary for migratory birds. Matilda Bay is believed to have been named after the wife of John Septimus Roe , Matilda (née Bennett). Captain Currie
112-423: Is the sequence of completely reduced fractions which when in lowest terms have denominators less than or equal to n , arranged in order of increasing size. With a restricted definition, each Farey sequence starts with the value 0, denoted by the fraction 0 / 1 , and ends with the fraction 1 / 1 . Ford circles can be constructed tangent to their neighbours, and to
128-579: The Bay of Bengal and Hudson Bay, have varied marine geology . The land surrounding a bay often reduces the strength of winds and blocks waves . Bays may have as wide a variety of shoreline characteristics as other shorelines. In some cases, bays have beaches , which "are usually characterized by a steep upper foreshore with a broad, flat fronting terrace". Bays were significant in the history of human settlement because they provided easy access to marine resources like fisheries . Later they were important in
144-533: The Gulf of Guinea , the Gulf of Mexico , and the Bay of Bengal , which is the world's largest bay. Bays also form through coastal erosion by rivers and glaciers . A bay formed by a glacier is a fjord . Rias are created by rivers and are characterised by more gradual slopes. Deposits of softer rocks erode more rapidly, forming bays, while harder rocks erode less quickly, leaving headlands . Semi-circle In mathematics (and more specifically geometry ),
160-432: The center of the circle containing the given semicircle. A semicircle can be used to construct the arithmetic and geometric means of two lengths using straight-edge and compass. For a semicircle with a diameter of a + b , the length of its radius is the arithmetic mean of a and b (since the radius is half of the diameter). The geometric mean can be found by dividing the diameter into two segments of lengths
176-527: The development of sea trade as the safe anchorage they provide encouraged their selection as ports . The United Nations Convention on the Law of the Sea defines a bay as a well-marked indentation in the coastline, whose penetration is in such proportion to the width of its mouth as to contain land-locked waters and constitute more than a mere curvature of the coast. An indentation, however, shall not be regarded as
SECTION 10
#1732773192024192-443: The other or to the half- disk , which is a two-dimensional geometric region that further includes all the interior points. By Thales' theorem , any triangle inscribed in a semicircle with a vertex at each of the endpoints of the semicircle and the third vertex elsewhere on the semicircle is a right triangle , with a right angle at the third vertex. All lines intersecting the semicircle perpendicularly are concurrent at
208-401: The x-axis at these points. Semicircles joining adjacent points on the x-axis pass through the points of contact at right angles. The equation of a semicircle with midpoint ( x 0 , y 0 ) {\displaystyle (x_{0},y_{0})} on the diameter between its endpoints and which is entirely concave from below is If it is entirely concave from above,
224-623: Was known as the Double Sunrise service. 31°58′50″S 115°49′26″E / 31.98056°S 115.82389°E / -31.98056; 115.82389 Bay A bay can be the estuary of a river, such as the Chesapeake Bay , an estuary of the Susquehanna River . Bays may also be nested within each other; for example, James Bay is an arm of Hudson Bay in northeastern Canada . Some large bays, such as
240-710: Was sold to Sir George Shenton , and the bay was known generally as Crawley Bay. After Shenton's death in 1909, the estate was acquired by the Government in 1910 and vested in the University of Western Australia in 1912. Some of the present foreshore, west of Crawley Baths, was created by land reclamation to allow Mounts Bay Road to be widened. The US Navy had a fleet of 60 Catalina flying boats based at Matilda Bay during World War II, part of Naval Base Perth . In 1943, Qantas operated five Catalina flying boats between Ceylon (now Sri Lanka ) and Matilda Bay in what
256-490: Was the first colonial owner of the 13-hectare (32-acre) estate surrounding the bay, at that time known as Currie's Bay. Pelican Point was then known as Point Currie. The estate was sold in 1832 to the Assistant Surveyor and Colonial Treasurer, Henry Charles Sutherland for £100. Sutherland named the property Crawley Park after his mother's maiden name and the bay became known as Sutherland's Bay. In 1876 Crawley Park
#23976