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Mathematical question
Clock angle problems are a type of mathematical problem which involve finding the angle between the hands of an analog clock. Clock angle problems relate
Clock_angle_problem
Figure formed by two rays meeting at a common point
Central angle Clock angle problem Decimal degrees Dihedral angle Exterior angle theorem Golden angle Great circle distance Horn angle Inscribed angle Irrational
Angle
Relative direction using a dial
observes the angle made by the intersection of the line of sight to the longitudinal axis, the dimension of length, of the vessel, using the clock analogy
Clock_position
Clock designed to keep time for 10,000 years
90384°W / 31.44841; -104.90384 The Clock of the Long Now, also called the 10,000-year clock, is a mechanical clock under construction that is designed
Clock_of_the_Long_Now
Time-telling device
using the angle of the sun. The people of Kush created sun dials through geometry. The Roman writer Vitruvius lists dials and shadow clocks known at that
Sundial
Clock regulated by a pendulum
A pendulum clock is a clock that uses a pendulum, a swinging weight, as its timekeeping element. The advantage of a pendulum for timekeeping is that it
Pendulum_clock
Clock used on ships to aid in navigation
an unsolved problem due to the difficulty in calculating longitude. Navigators could determine their latitude by measuring the sun's angle at noon (i.e
Marine_chronometer
Measured time difference as explained by relativity theory
relative to the resting frame of the clock (right part of diagram), the light pulse is seen as tracing out a longer, angled path 2D. Keeping the speed of light
Time_dilation
Horizontal angle from north or other reference cardinal direction
Clock position Course (navigation) Inclination Longitude Latitude Magnetic declination Panning (camera) Relative bearing Sextant Solar azimuth angle Sound
Azimuth
Angle between two objects
bearing or azimuth is the horizontal angle between the direction of an object and north or another object. The angle value can be specified in various angular
Bearing_(navigation)
Early clock mechanism
earliest known type of mechanical escapement, the mechanism in a mechanical clock that controls its rate by allowing the gear train to advance at regular
Verge_escapement
Record of humanity's attempts to find east-west position on Earth
is the same at both locations, so the longitude problem reduces to finding a way to coordinate clocks at distant places. Early approaches used astronomical
History_of_longitude
English clockmaker (1693–1776)
the reference place. Harrison set out to solve the problem directly by producing a reliable clock that could keep the time of the reference place accurately
John_Harrison
Mechanism for regulating the speed of clocks
watches and clocks that gives impulses to the timekeeping element and periodically releases the gear train to move forward, advancing the clock's hands. The
Escapement
Curve for which the time to roll to the end is equal for all starting points
8r} . The simplest solution to the tautochrone problem is to note a direct relation between the angle of an incline and the gravity felt by a particle
Tautochrone_curve
Electronic control system
input frequency. These properties are used for clock synchronization, demodulation, frequency synthesis, clock multipliers, and signal recovery from a noisy
Phase-locked_loop
Apparent solar time minus mean solar time
solar time can be obtained by measurement of the current position (hour angle) of the Sun, as indicated (with limited accuracy) by a sundial. Mean solar
Equation_of_time
Mechanism with bendable rotation axis
_{1}} the angle of rotation for axle 1 γ 2 {\displaystyle \gamma _{2}} the angle of rotation for axle 2 β {\displaystyle \beta } the bend angle of the joint
Universal_joint
Seasonal change of clock settings
of advancing clocks to (in theory) make better use of the longer daylight available during summer by having darkness fall at a later clock time. The typical
Daylight_saving_time
Elapsed fraction of a cycle of a periodic function
{\displaystyle F} . In the clock analogy, this situation corresponds to the two hands turning at the same speed, so that the angle between them is constant
Phase_(waves)
Natural number
and often implies a situation of urgent danger or emergency (see Doomsday clock). "The eleventh hour" is a phrase in the Parable of the Workers in the Vineyard
11_(number)
Mechanism for regulating the speed of clocks
grandfather clock whose pendulum has a swing of 6° and thus an amplitude of 3° (0.05 radians), the difference between the true period and the small angle approximation
Pendulum
Mathematical model combining space and time
clocks as running slower than her own. But during the turnaround (i.e. between the bold blue lines in the figure), a shift takes place in the angle of
Spacetime
Streamlined body for generating lift
its angle of attack. Most foil shapes require a positive angle of attack to generate lift, but cambered airfoils can generate lift at zero angle of attack
Airfoil
Type of spring
the opposite direction, proportional to the amount (measurable like an angle, but theoretically capable of exceeding 360° or 2π radians) it is twisted
Torsion_spring
Part in mechanical clocks
all mechanical watches, as well as small mechanical non-pendulum clocks, alarm clocks, and kitchen timers. An escapement is a mechanical linkage that delivers
Lever_escapement
Calculation of elapsed time by the apparent position of the sun
degrees it will be 14:00 exactly. The problem is that in September the Sun takes less time (as measured by an accurate clock) to make an apparent revolution
Solar_time
Spreading the frequency domain of a signal
States, JEITA in Japan and the IEC in Europe). Spread-spectrum clocking avoids this problem by reducing the peak radiated energy and, therefore, its electromagnetic
Spread_spectrum
Rotating circular machine part with teeth that mesh with another toothed part
teeth project at right angles to the plane. A crown gear is also sometimes meshed with an escapement such as found in mechanical clocks. Gear teeth typically
Gear
Theory of interwoven space and time by Albert Einstein
a clock. Moving clocks run slower. Two events measured at the same time on a stationary clock occur at different times if measured on moving clocks. At
Special_relativity
Navigation using astronomical objects to determine position
calculation. The longitude problem took centuries to solve and was dependent on the construction of a non-pendulum clock (as pendulum clocks cannot function accurately
Celestial_navigation
Astrological chart or diagram
(Ascendant, East Angle, rising sign, or ASC/AC) Tenth House (Midheaven, Medi Coeli (midheaven), North Angle, MC) Seventh House (Descendant, West Angle, setting
Horoscope
British radio navigation system
primary parts, an oscillator to produce a whistle at 1 kHz, and a mechanical clock with electrical contacts to periodically switch the oscillator and DF broadcast
Pip-squeak
Computation machine that uses continuously varying data technology
control problem to the movement of one's own ship and that of a target ship. It was often used with other devices, such as a Vickers range clock to generate
Analog_computer
Particular mapping that projects a sphere onto a plane
functions. The fundamental problem of cartography is that no map from the sphere to the plane can accurately represent both angles and areas. In general,
Stereographic_projection
Graph of space and time in special relativity
that an object moving at the speed of light is depicted as following a 45° angle to the diagram's axes. In the study of 1-dimensional kinematics, position
Spacetime_diagram
Mechanical calculating device
control problem to the movement of one's own ship and that of a target ship. It was often used with other devices, such as a Vickers range clock, to generate
Dumaresq
Science of measuring the shape, orientation, and gravity of Earth
by optical clocks. Geographical latitude and longitude are stated in the units degree, minute of arc, and second of arc. They are angles, not metric
Geodesy
Scientific phenomenon
receiver. However, due to relativistic effects, clocks on the receiver are time dilated relative to clocks at the source: t r = t r , s / γ {\displaystyle
Relativistic_Doppler_effect
First global radio navigation system for aircraft
end of different hops. The problem of synchronizing very distant stations was solved with the introduction of the atomic clock in the 1950s, which became
Omega_(navigation_system)
English physicist and inventor (1802–1875)
electro-magnetic clock in the library of the Royal Society, and propounded a plan for distributing the correct time from a standard clock to a number of
Charles_Wheatstone
Watch made to be carried in a pocket
offers him a "pocket clock" better than that belonging to the Duke of Modena. By the end of the 15th century, spring-driven clocks appeared in Italy, and
Pocket_watch
Time standard based on the slowing rotation of the Earth
(GMT), the mean solar time at Greenwich, England, to solve this problem: all clocks in Great Britain were set to this time regardless of local solar
Universal_Time
Use of distances for determining unknown coordinates of a point
Euclidean distances (slant ranges) or spherical distances (scaled central angles), as in true-range multilateration; or biased distances (pseudo-ranges)
Trilateration
Diagrammatic representation of Sun's position over a period of time
course of a year. The change of position is a result of the shifting of the angle in the sky of the path that the Sun takes in respect to the stars (the ecliptic)
Analemma
Dutch mathematician and physicist (1629–1695)
inventor, he improved the design of telescopes and invented the pendulum clock, the most accurate timekeeper for almost 300 years. A talented mathematician
Christiaan_Huygens
Historic site in Swanage, Dorset
any structural problems. Gower, Rachel (March 2016). "The Wellington clock tower". Dorset Life. Retrieved 2 January 2020. "The Clock Tower". British
Wellington_clock_tower
Multiple proofs regarding Earth's approximately spherical shape
Earth's orbit, and its tilt. The differences in clock time between cities was not generally a problem until the advent of railroad travel in the 1800s
Empirical evidence for the spherical shape of Earth
Empirical_evidence_for_the_spherical_shape_of_Earth
Electromechanical device
logic which is paced by a clock signal. However, the incoming encoder signals are asynchronous with respect to the interface clock because their timing is
Incremental_encoder
American comedy TV series
Room". In every episode, they aid many clients with problems and think up creative ways to solve problems. They are often aided by Warehouse Mouse, the freeloading
Imagination Movers (TV series)
Imagination_Movers_(TV_series)
Condition due to travel across time zones
phase angle of entrainment and may show a leftward shift in their PRC, meaning their window for phase shifting occurs earlier relative to clock time than
Jet_lag
Geolocation system
criteria they use: received signal strength indication (RSSI), fingerprinting, angle of arrival (AoA) and time of flight (ToF). In most cases the first step
Wi-Fi_positioning_system
Navigation and surveillance technique
also illustrating how to convert a problem from TDOA to TOT by incorporating an additional equation and an unknown clock bias. The TOT solution outperforms
Pseudo-range_multilateration
Concept that simultaneity depends on choice of reference frame
Libraries. New-York : Published by Daniel Adee. S A Klioner (1992), "The problem of clock synchronization - A relativistic approach", Celestial Mechanics and
Relativity_of_simultaneity
Weapon guidance system utilizing the target's infrared emissions to track it
sensitive to the angle around the clock face, the bearing, but not the angle between the target and the missile centerline, the angle off (or angle error). This
Infrared_homing
Experiment studying human circadian clocks
to test whether humans, like other species, have an intrinsic circadian clock. It was started by Jürgen Aschoff and Rütger Wever of the Max Planck Institute
Bunker_experiment
WWII UK air defence network
a sector clock marking off five-minute intervals. As plots were called in, the plotters used markers with the colour pointed to by the clock, which produced
Dowding_system
Quantity in relativistic physics
the frame in which the clock is moving, is longer than the time (∆t) between these ticks as measured in the rest frame of the clock: Δ t ′ = γ Δ t . {\displaystyle
Lorentz_factor
Electronic oscillator circuit
used to keep track of time, as in quartz wristwatches, to provide a stable clock signal for digital integrated circuits, and to stabilize frequencies for
Crystal_oscillator
Mathematics of Ancient Greece and the Mediterranean, 5th BC to 6th AD
the Hellenistic age, three construction problems in geometry became famous: doubling the cube, trisecting an angle, and squaring the circle, all of which
Ancient_Greek_mathematics
Branch of mathematics
early versions of sun clocks. In the 7th century BC, the Greek mathematician Thales of Miletus used geometry to solve problems such as calculating the
Geometry
Bug in the Intel P5 Pentium floating-point unit
algorithm. The SRT algorithm can generate two bits of the division result per clock cycle, whereas the 486's algorithm could only generate one. The lookup table
Pentium_FDIV_bug
Mechanism that converts motion, and forces, from rotational to linear
The thread angle is the included angle, measured at a section parallel to the axis, between the two bearing faces of the thread. The angle between the
Screw_mechanism
Chronic sleep disorder
phase disorder, is the delaying of a person's circadian rhythm (biological clock) compared to those of social norms. The disorder affects the timing of biological
Delayed_sleep_phase_disorder
quantity called angle on the bow. Angle on the bow is the angle made by the ship's course and the line of sight (see Figure 1). The angle on the bow was
Mathematical discussion of rangekeeping
Mathematical_discussion_of_rangekeeping
Ottoman polymath (1526–1585)
more than ninety books on a wide variety of subjects, including astronomy, clocks, engineering, mathematics, mechanics, optics, and natural philosophy. In
Taqi ad-Din Muhammad ibn Ma'ruf
Taqi_ad-Din_Muhammad_ibn_Ma'ruf
Pattern used within a communications system to represent digital data
inverted syncwords are detected, perhaps using polarity switching For reliable clock recovery at the receiver, a run-length limitation may be imposed on the
Line_code
English conspiracy theorist (born 1952)
orderly during World War II, and after the war became a clerk in the Gents clock factory. The family lived in a terraced house on Lead Street in the centre
David_Icke
Using distance measures along a shape's edges to determine position in space
enabled by the development of atomic clocks; it requires that the vehicle (user) and stations having synchronized clocks. It has been successfully demonstrated
True-range_multilateration
Stabilisierte Leitstand measured distance, bearing and height of the target. Angles for bearing and height were taken through an optical sight, whilst distance
Stabilisierter_Leitstand
Science behind the motion of bicycles and motorcycles
{\displaystyle R_{w}} is wheel radius, A h {\displaystyle A_{h}} is the head angle measured clock-wise from the horizontal and O f {\displaystyle O_{f}} is the fork
Bicycle and motorcycle dynamics
Bicycle_and_motorcycle_dynamics
Convex polygon which can tile the plane by itself
demiregular planigons which can tile the plane only with other planigons. All angles of a planigon are whole divisors of 360°. Tilings are made by edge-to-edge
Planigon
1714 British prize for ship's chronometers
Higgitt, Rebekah (2014). Finding longitude: how clocks and stars helped solve the longitude problem. Glasgow: Collins. ISBN 9780007525867. Royal Observatory
Longitude_rewards
1966 mass shooting in Texas, U.S.
hundred individuals, including several survivors and first responders. The clock upon the UT Tower was also stopped at 11:48 a.m. on the fiftieth anniversary
University of Texas tower shooting
University_of_Texas_tower_shooting
Form of particle interferometry
particle transition frequencies. Ramsey's method is used today in atomic clocks and in the SI definition of the second. Most precision atomic measurements
Ramsey_interferometry
1912 maritime disaster
section increased until Titanic reached a down angle of about ten degrees. At about 02:15, Titanic's angle in the water began to increase rapidly as water
Sinking_of_the_Titanic
Line between the poles with the same longitude
meridian is the locus connecting points of equal longitude, which is the angle (in degrees or other units) east or west of a given prime meridian (currently
Meridian_(geography)
Migrations, mainly across North America
reflect that of a Drosophila clock and some which reflect that of a mammalian clock. The most unique aspect of the monarch clock mechanism is that it involves
Monarch_butterfly_migration
in 2017, reconstructed in 2025 The Leaning Tower of Teluk Intan, a water/clock tower located in Teluk Intan, Hilir Perak District, Perak, Malaysia. Bombon
List_of_leaning_towers
Property of waves that can oscillate with more than one orientation
vibrations can be in a vertical direction, horizontal direction, or at any angle perpendicular to the string. In contrast, in longitudinal waves, such as
Polarization_(waves)
Property of certain dynamical systems
this implies the Liouville–Arnold theorem; i.e., the existence of action-angle variables. General dynamical systems have no such conserved quantities;
Integrable_system
1994 US comedy film by the Coen brothers
wide-angle shot, moving closer towards Tim Robbins, who was standing in a full sized set, which they inserted inside the shot of the model clock. "Marrying
The_Hudsucker_Proxy
Process of aiming an artillery piece or turret
against the arc showed the elevation angle. This led to many calculations relating elevation angle to range. The problem was that these calculations assumed
Gun_laying
Mathematical theory of the geometry of space and time
that the ground clock is running slow, and can confirm this by bringing the tower clock down to compare side by side with the ground clock. For a 1 km tower
Curved_spacetime
2023 smartphone by Apple
was applied on those hollow spots; on the durability test video, in some angles, the glass is noticeably caved in to the phone, further proving that it
IPhone_15_Pro
Decreased ability to see
impairment, amaurosis fugax, may occur, and may indicate serious medical problems. The most common causes of visual impairment globally are uncorrected refractive
Visual_impairment
1966 NASA crewed spaceflight
who had written his PhD on the rendezvous, used a sextant to measure the angle between the spacecraft and the Agena, and then calculated the required actions
Gemini_12
Device used to control other devices remotely
operating angle, which mainly depends on the optical characteristics of the phototransistor. However, it is easy to increase the operating angle using a
Remote_control
American satellite-based radio navigation service
using accurate atomic clocks placed in orbit inside artificial satellites. Special and general relativity predicted that the clocks on GPS satellites, as
Global_Positioning_System
Listed building in Netherlands, site of annual cheese market
to complete already. The clock with Gothic angle pillars was made in 1541. The drum (big music cylinder) part of the clock was built in the enlarged
Waag_(Alkmaar)
German longwave time signal radio station
wavelength) carrier signal is generated from local atomic clocks that are linked with the German master clocks at the PTB in Braunschweig. The DCF77 time signal
DCF77
trace of the angles that a joint exhibits during walking. Joint angle distribution: the distribution of angles of a joint. Joint angle extremes: the
Study_of_animal_locomotion
Simulation of the appearance of being three-dimensional
(sometimes called three-quarter view when the environment is portrayed from an angled top-down perspective), which refers to 2D graphical projections and similar
2.5D
British battleship (1906–1919)
Transmitting Station. It combined the functions of the Dumaresq and the range clock. Fire-control technology advanced quickly during the years immediately preceding
HMS_Dreadnought_(1906)
German WWII heavy tank
When engaging targets, Tiger crews were encouraged to angle the hull to the 10:30 or 1:30 clock position (45 degrees) relative to the target, an orientation
Tiger_I
Semiconductor light source
different emission patterns, the color balance may change depending on the angle of view, even if the RGB sources are in a single package, so RGB diodes
Light-emitting_diode
Distance from center of Earth to center of Moon
equipment needed is a modern digital camera (equipped with an accurate clock, and a GPS receiver). Other experimental methods of measuring the lunar
Lunar_distance
US torpedo of WWII
torpedo impacted the target at an oblique angle. Once the magnetic influence exploder was deactivated, problems with the contact exploder became more apparent
Mark_14_torpedo
Railway terminal in Manhattan, New York
square-framed clock is installed in the ceiling near Tracks 108 and 109. It was manufactured at an unknown time by the Self Winding Clock Company, which
Grand_Central_Terminal
City hall of Düsseldorf
art students in front of Joseph Fassbender's Tapestry in Wood Debt-free clock in the town hall window. Introduced in 2007 during the term of Mayor Joachim
Düsseldorf_City_Hall
CLOCK ANGLE-PROBLEM
CLOCK ANGLE-PROBLEM
Surname or Lastname
German and Dutch
German and Dutch : from Middle High German bloch, Middle Dutch blok ‘block of wood’, ‘stocks’. The surname probably originated as a nickname for a large, lumpish man, or perhaps as a nickname for a persistent lawbreaker who found himself often in the stocks.English : possibly a metonymic occupational name for someone who blocks, as in shoemaking and bookbinding, from Middle English blok ‘block’.Jewish (Ashkenazic) : Americanized spelling of Bloch (see Vlach).Adriaen Coertsz Block was a Dutch-born merchant-explorer who traded along the CT coast and Long Island shortly after Hudson’s voyage to the region in 1609. Block Island, between the north fork of Long Island and RI, which he used as a base of operations, is named after him.
Girl/Female
Christian, French, German, Greek
Angel; A Messenger from God
Girl/Female
British, English, Greek, Latin
Angel
Boy/Male
Spanish American Greek Latin
Angel.
Boy/Male
American, Danish, French, German, Greek, Indian, Italian, Spanish
Angel
Female
English
English short form of Latin Angela, ANGE means "angel, messenger." Compare with masculine Ange.
Girl/Female
Greek American Italian Latin
Messenger or angel. A popular masculine name in Sicily after the 13th-century saint, Angel. Angel...
Girl/Female
Muslim
Clock
Surname or Lastname
English
English : topographic name for someone who lived on a small plot of land, from Middle English plocke ‘small piece of ground’.Americanized spelling of German Ploch.Variant of German Block.
Surname or Lastname
Americanized spelling of German Krock.English
Americanized spelling of German Krock.English : perhaps a metonymic occupational name for a potter, from Middle English crock ‘pot’.
Girl/Female
French
Angel.
Surname or Lastname
English and Irish (of Norman origin)
English and Irish (of Norman origin) : topographic name from Middle English and Old French angle ‘angle’, ‘corner’ (Latin angulus). As an Irish surname, it can also be habitational, from a place in Pembrokeshire, South Wales, named with this word.Americanized spelling of German Angel or Engel.
Boy/Male
German, Swedish
Angel; Bright Angle
Girl/Female
Arabic, Muslim
Clock
Girl/Female
Latin American Greek
Angel; Like an angel. From angelicus meaning angelic.
Female
English
English unisex name derived from Latin Angelus, ANGEL means "angel, messenger."Â Originally a male name, it is now almost strictly female.
Male
English
English unisex name derived from Latin Angelus, ANGEL means "angel, messenger." Once used as a man's name in England. It is now almost strictly a feminine name.
Boy/Male
American, British, Danish, English, French, German, Greek, Hindu, Indian, Latin, Spanish
Messenger of God; Angel; Messenger
Female
English
English short form of Latin Angela, ANGIE means "angel, messenger."
Male
French
French name ANGE means "angel, messenger." Compare with feminine Ange.
CLOCK ANGLE-PROBLEM
CLOCK ANGLE-PROBLEM
Boy/Male
Arabic
Unique
Biblical
mighty; perfect; wasted
Boy/Male
Tamil
Ninnit | நீநà¯à®¨à¯€à®¤
Created
Boy/Male
Slavic
Great glory.
Boy/Male
Arabic, Australian, Muslim
Brave; Face Challenge
Girl/Female
Indian
Kind
Boy/Male
Hindu, Indian, Marathi, Punjabi, Sikh
Raised by God
Surname or Lastname
English
English : variant spelling of Painter.
Boy/Male
Hindu
Girl/Female
Hindu
Auspicious, A star
CLOCK ANGLE-PROBLEM
CLOCK ANGLE-PROBLEM
CLOCK ANGLE-PROBLEM
CLOCK ANGLE-PROBLEM
CLOCK ANGLE-PROBLEM
a.
Having oblique angles; as, an oblique-angled triangle.
v. t.
To flock to; to crowd.
v. t.
To cause to dangle; to swing, as something suspended loosely; as, to dangle the feet.
v. t.
To lay up in a crock; as, to crock butter.
adv.
Entirely; quite; as, chock home; chock aft.
v. t. & i.
To call, as a hen. See Cluck.
v. i.
To use some bait or artifice; to intrigue; to scheme; as, to angle for praise.
n.
One who angles.
n.
The difference of direction of two lines. In the lines meet, the point of meeting is the vertex of the angle.
v. i.
To fish with an angle (fishhook), or with hook and line.
a.
Having acute angles; as, an acute-angled triangle, a triangle with every one of its angles less than a right angle.
n.
See Ankle.
n.
A click. See 3d Click, 2.
imp. & p. p.
of Angle
n.
To shape on, or stamp with, a block; as, to block a hat.
n.
The striking of a clock.
a.
Containing a right angle or right angles; as, a right-angled triangle.
a.
Having an angle or angles; -- used in compounds; as, right-angled, many-angled, etc.
v. t.
To stop or fasten, as with a wedge, or block; to scotch; as, to chock a wheel or cask.