Misplaced Pages

#396603

23-612: The bridge enables a direct connection between Hacıosman metro station in the Sarıyer district (at the northern end of the M2 line), and the Yenikapı transport hub in the Fatih district (at the southern end of the M2 line.) The idea of the bridge was first mooted in 1952 but only really came to life during the period when Kadir Topbaş was mayor of Istanbul (2004-17). After the new metro line

46-400: A right angle is an angle of exactly 90 degrees or ⁠ π {\displaystyle \pi } / 2 ⁠ radians corresponding to a quarter turn . If a ray is placed so that its endpoint is on a line and the adjacent angles are equal, then they are right angles. The term is a calque of Latin angulus rectus ; here rectus means "upright", referring to

69-527: A proof as well but using a more explicit assumption. In Hilbert 's axiomatization of geometry this statement is given as a theorem, but only after much groundwork. One may argue that, even if postulate 4 can be proven from the preceding ones, in the order that Euclid presents his material it is necessary to include it since without it postulate 5, which uses the right angle as a unit of measure, makes no sense. A right angle may be expressed in different units: Throughout history, carpenters and masons have known

92-541: A quick way to confirm if an angle is a true right angle. It is based on the Pythagorean triple (3, 4, 5) and the rule of 3-4-5. From the angle in question, running a straight line along one side exactly three units in length, and along the second side exactly four units in length, will create a hypotenuse (the longer line opposite the right angle that connects the two measured endpoints) of exactly five units in length. Thales' theorem states that an angle inscribed in

115-465: A right angle) and obtuse angles (those greater than a right angle). Two angles are called complementary if their sum is a right angle. Book 1 Postulate 4 states that all right angles are equal, which allows Euclid to use a right angle as a unit to measure other angles with. Euclid's commentator Proclus gave a proof of this postulate using the previous postulates, but it may be argued that this proof makes use of some hidden assumptions. Saccheri gave

138-621: A right angle. Right angles are fundamental in Euclid's Elements . They are defined in Book 1, definition 10, which also defines perpendicular lines. Definition 10 does not use numerical degree measurements but rather touches at the very heart of what a right angle is, namely two straight lines intersecting to form two equal and adjacent angles. The straight lines which form right angles are called perpendicular. Euclid uses right angles in definitions 11 and 12 to define acute angles (those smaller than

161-560: A triangle is a right triangle . In Unicode , the symbol for a right angle is U+221F ∟ RIGHT ANGLE ( ∟ ). It should not be confused with the similarly shaped symbol U+231E ⌞ BOTTOM LEFT CORNER ( ⌞, ⌞ ). Related symbols are U+22BE ⊾ RIGHT ANGLE WITH ARC ( ⊾ ), U+299C ⦜ RIGHT ANGLE VARIANT WITH SQUARE ( ⦜ ), and U+299D ⦝ MEASURED RIGHT ANGLE WITH DOT ( ⦝ ). In diagrams,

184-412: Is intended to be open once a week between the hours of 1:00 and 5:00 in the summer time, and twice a week during these hours in the winter months. A station with a 180-metre-long (590 ft) platform, suitable for holding an 8-car train, is situated in the middle of the bridge. It extends across the full length of the main span, and is capped with a 90-metre-long (300 ft) canopy. The metro line over

207-561: Is open fewer complaints are heard, and the Haliç station and walkways have eased communication between the areas on either side of the bridge for non-car owners. Hac%C4%B1osman (Istanbul Metro) Hacıosman is an underground rapid transit station and northern terminus of the M2 line of the Istanbul Metro . It is located in southern Sarıyer under Tarabya Bayırı Avenue. Hacıosman

230-574: The Unkapanı/Küçükpazarı side, a 120-metre-long (390 ft) swing bridge - essentially a cantilever structure - permits passage for large ships. It has 50-metre (160 ft) and 70-metre-long (230 ft) spans, which rest on a central pier. Controlled from a room on a platform between the bridge and the shoreline, the swing bridge turns at a right angle about the vertical axis after lifting, and provides about 40-metre-wide (130 ft) free clearance within four to six minutes. The swing bridge

253-531: The bridge is expected to transport around one million passengers daily. The design of the Golden Horn Metro Bridge was initially controversial. Chambers of architects and city planners, as well as many citizens, complained that the plans originally approved by UNESCO had been changed without permission. The design was also said to damage the city's historic skyline. However, now that the Metro

SECTION 10

#1732779747397

276-426: The construction was € 146.7 million. Because of the historical character of the bridge's surroundings, the project underwent several revisions. For example, the discovery of a Byzantine-era vault on the Unkapanı/Küçükpazarı side of the bridge during excavation works for the pier foundations necessitated a redesign of the project. The design of the swing bridge operator's command building also had to be revised when

299-475: The fact that an angle is a right angle is usually expressed by adding a small right angle that forms a square with the angle in the diagram, as seen in the diagram of a right triangle (in British English, a right-angled triangle) to the right. The symbol for a measured angle, an arc, with a dot, is used in some European countries, including German-speaking countries and Poland, as an alternative symbol for

322-438: The ground using a hydraulic hammer. The two steel supporting towers are 65 m (213 ft) high, Each rests on a nine-pile group while for the side supports four- or five-pile groups were built. The 12.6-metre-wide (41 ft) bridge carries two railway tracks between two 4.4-metre-wide (14 ft) sidewalks at a height of 13 m (43 ft) above sea level. The deck is a 4.45-metre-high (14.6 ft) box girder . On

345-494: The right angle basic to trigonometry. The meaning of right in right angle possibly refers to the Latin adjective rectus 'erect, straight, upright, perpendicular'. A Greek equivalent is orthos 'straight; perpendicular' (see orthogonality ). A rectangle is a quadrilateral with four right angles. A square has four right angles, in addition to equal-length sides. The Pythagorean theorem states how to determine when

368-559: The structural engineering work for the bridge. It was built by a partnership between the Italian firm Astaldi and the Turkish Gülermak Ağır Sanayi İnşaat ve Taahhüt A.Ş. Construction began on January 2, 2009, and was initially meant to be completed within 600 days. Eventually it was finished on January 9, 2013. Test runs for the new metro began the next day, and the bridge went into service on 15 February 2014. The cost of

391-557: The two towers is 180 m (590 ft). It is flanked by viaducts on both sides which connect the bridge with the metro tunnels on each side of the Golden Horn. Nine cables are connected to each side of the two towers in harp-design starting at a height of 47 m (154 ft). To reinforce the soft bedrock, dozens of steel pipe piles with diameters of 1,800 mm (71 in) and 2,500 mm (98 in), supplied from Europe, were driven more than 30 m (98 ft) deep into

414-400: The vertical perpendicular to a horizontal base line. Closely related and important geometrical concepts are perpendicular lines, meaning lines that form right angles at their point of intersection, and orthogonality , which is the property of forming right angles, usually applied to vectors . The presence of a right angle in a triangle is the defining factor for right triangles , making

437-461: The wall of a Byzantine-era basilica and a graveyard on the same bank came to light. The eventual design pays homage to the city's maritime heritage with support towers shaped to look like horns and hull-shaped supports for the platforms. The cable-stayed bridge has an overall length of 936 m (3,071 ft) between Azapkapı ( Beyoğlu ) and Unkapanı/Küçükpazarı (Fatih), and a span of 460 m (1,510 ft) over water. The longest span between

460-560: Was approved by the city's Monument Protection Board and the tunnels relating to it had been completed, the Metropolitan Municipality put out a tender for the construction of the bridge. By 2005, a total of 21 proposals had been submitted to the Monument Protection Board, but none was found to be sufficiently in harmony with the city's skyline. Even the successful design, by architect Hakan Kıran ,

483-614: Was approved in February 2012. The bridge's conceptual design was carried out by French engineer and bridge specialist Michel Virlogeux , who also designed the Yavuz Sultan Selim Bridge (Third Bosphorus Bridge) across the Bosphorus strait . Turkish architect Hakan Kıran was responsible for the architectural design and served as the construction supervision. Wiecon Consulting Engineers & Architects carried out

SECTION 20

#1732779747397

506-419: Was considered controversial. In November 2009, the proposed height of the towers was reduced from a projected 82 m (269 ft) to 65 m (213 ft) after UNESCO threatened to remove Istanbul from its list of World Heritage sites . The top level of cables was also reduced from 63 to 55 m (207 to 180 ft), and then lowered even further to 47 m (154 ft) in 2011. This revised design

529-570: Was opened on 29 April 2011 as a northern extension of the M2 to service neighborhoods in Sarıyer. It has an island platform serviced by two tracks. This article about a Turkish railway station is a stub . You can help Misplaced Pages by expanding it . This Istanbul Metro article is a stub . You can help Misplaced Pages by expanding it . Right angle Right Interior Exterior Adjacent Vertical Complementary Supplementary Dihedral In geometry and trigonometry ,

#396603