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Concept in geometry
the flats do not intersect, their shortest distance is one more invariant. These angles are called canonical or principal. The concept of angles can be
Angles_between_flats
Figure formed by two rays meeting at a common point
angle or perigon. An angle that is not a multiple of a right angle is called an oblique angle. Angles A and B are adjacent. Angles A and B, and pair C
Angle
American mathematician
method (see and references there) and contributed to the theory of angles between flats. Knyazev, Andrew; Widlund, Olof (2003), "Lavrentiev Regularization
Andrei Knyazev (mathematician)
Andrei_Knyazev_(mathematician)
Way of inferring information from cross-covariance matrices
relationships between two sets of variables." The method was first introduced by Harold Hotelling in 1936, although in the context of angles between flats the mathematical
Canonical_correlation
Affine subspace of a Euclidean space
dimension k from 0 to n; flats one dimension lower than the parent space, (n − 1)-flats, are called hyperplanes. The flats in a plane (two-dimensional
Flat_(geometry)
Angle between a liquid–vapor interface and a solid surface
analyze the contact angle. Angles measured in such a way are often quite close to advancing contact angles. Equilibrium contact angles can be obtained through
Contact_angle
Foot arch deformity
ground. Sometimes children are born with flat feet (congenital). There is a functional relationship between the structure of the arch of the foot and
Flat_feet
Crankshaft with throws extending in one plane only
The flat-plane crank (sometimes flatplane) is a type of crankshaft for use in internal combustion engines that has a 180-degree angle between crank throws
Flat-plane_crank
Shape with three sides
has three internal angles, each one bounded by a pair of adjacent edges; the sum of angles of a triangle always equals a straight angle (180 degrees or π
Triangle
Ability of a liquid to maintain contact with a solid surface
thermodynamically stable contact angles are found on a nonideal solid. These varying thermodynamically stable contact angles are known as metastable states
Wetting
Multiple proofs regarding Earth's approximately spherical shape
geometry, the sum of angles inside a triangle is greater than 180° (in this example 270°, having arrived back at the north pole a 90° angle to the departure
Empirical evidence for the spherical shape of Earth
Empirical_evidence_for_the_spherical_shape_of_Earth
Description of flat one-vertex origami
the same condition is that, if the angles are partitioned into two alternating subsets, then the sum of the angles in either of the two subsets is exactly
Kawasaki's_theorem
Architectural device used for angle calculations
(HEE-leo-don) is a device for adjusting the angle between a flat surface and a beam of light to match the angle between a horizontal plane at a specific latitude
Heliodon
Aspect of wheeled vehicle chassis design
{\text{breakover angle}}_{approximate}=2\cdot \arctan \left({\frac {2\cdot {\text{ground clearance}}}{\text{wheelbase}}}\right)} Approach and departure angles Glossary
Breakover_angle
Extremely flat piece of optical-grade glass
standard flat for calibrating other flats. The other method for determining absolute flatness is the "three-flat test." In this test, three flats of equal
Optical_flat
Lines not in the same plane
affine d-space, two flats of any dimension may be parallel. However, in projective space, parallelism does not exist; two flats must either intersect
Skew_lines
Term or maneuver in vehicle dynamics
relaxation length. The ratios between the slip angles of the front and rear axles (a function of the slip angles of the front and rear tires respectively)
Slip_angle
Characteristics of a vehicle
angle from which the car can descend without damage. Approach and departure angles are also referred to as ramp angles. Approach and departure angles
Approach_and_departure_angles
Flat piece of theatrical scenery
background. Flats can be soft covered (covered with cloth such as muslin) or hard covered (covered with decorative plywood such as luan). Soft-covered flats have
Flat_(theatre)
Property of waves that can oscillate with more than one orientation
\end{aligned}}} indicating that these vectors are orthogonal (at right angles to each other), as expected. Knowing the propagation direction (+z in this
Polarization_(waves)
Tool for angle measurement
sextant can measure angles between objects for a position on a chart. A sextant can also be used to measure the lunar distance between the moon and another
Sextant
Balance of reciprocating and rotating engine components
engines with narrow V angle have crank pin offsets corresponding to the V angles, so the firing interval matches that of a straight-four engine. Some V4
Engine_balance
Measure in 3-dimensional geometry
be increased by π. The solid angle of a four-sided right rectangular pyramid with apex angles a and b (dihedral angles measured to the opposite side
Solid_angle
Horizontally opposed 6-cylinder piston engine
ISBN 978-0-7506-8037-0. Retrieved 24 September 2019. "The Physics of: Engine Cylinder-Bank Angles". www.caranddriver.com. Retrieved 9 September 2019. "Pietenpol Official
Flat-six_engine
Characteristic of an optical system
optical system is a dimensionless number that characterizes the range of angles over which the system can accept or emit light. By incorporating index of
Numerical_aperture
Method of connecting two rotating shafts or pulleys
power capacities are based on the standard of a 180° contact angle. Smaller contact angles mean less area for the belt to obtain traction, and thus the
Belt_(mechanical)
Mathematical measure of how much a curve or surface deviates from flatness
angle, angle ACB, is L/R. The angle between the arc endpoint tangents is angle BDE, which is the same size as the central angle, because both angles are
Curvature
Horizontal angle from north or other reference cardinal direction
the angles are measured from and along the celestial equator, the angles are called right ascension if referenced to the Vernal Equinox, or hour angle if
Azimuth
Combustion engine using pistons facing to the sides on a common crankshaft
The other configuration is effectively a V engine with a 180-degree angle between the cylinder banks: in this configuration each pair of cylinders shares
Flat_engine
Angle between a wheel's vertical axis and the vehicle's vertical axis
Camber angle is one of the angles made by the wheels of a vehicle. It is specifically the angle between the vertical axis of a wheel and the vertical axis
Camber_angle
Bone that connects the humerus and clavicle
glenoid cavity. There are 3 angles: The superior angle of the scapula or medial angle, is covered by the trapezius muscle. This angle is formed by the junction
Scapula
Glossiness of a paint finish
while on flat paints most of the light diffuses in a range of angles. The gloss level of paint can also affect its apparent colour. Between those extremes
Paint_sheen
Manifold that "locally looks like" Euclidean space
terms of distances and angles, e.g. the interior angles of a triangle add up to 180°. The universal cover of a complete flat manifold is Euclidean space
Flat_manifold
Cross sectional shape of a blade in a plane normal to its edge
of edge angles and back bevel angles, and Western kitchen knives generally have a double bevel, with an edge angle of 14–16° (included angle of 28–32°)
Grind
"Bouncing back" of waves at an interface
for radar. Even hard X-rays and gamma rays can be reflected at shallow angles with special "grazing" mirrors. Reflection of light is either specular (mirror-like)
Reflection_(physics)
Motion between surfaces
necessary for small slip angles. Sliding may occur, starting at the rear of the contact patch, as slip angle increases. The slip angle can be defined as: α
Slip_(vehicle_dynamics)
Study of the 3D shapes of molecules
the general shape of the molecule as well as bond lengths, bond angles, torsional angles and any other geometrical parameters that determine the position
Molecular_geometry
Shape with four equal sides and angles
sides of equal length and four equal angles. Squares are special cases of rectangles, which have four equal angles, and of rhombuses, which have four equal
Square
Plane figure bounded by line segments
polygon. Rectilinear: the polygon's sides meet at right angles, i.e. all its interior angles are 90 or 270 degrees. Monotone with respect to a given line
Polygon
Piston engine with six cylinders in a "V" configuration
remaining vibrations. A 60-degree V-angle results in a narrower engine overall than V6 engines with larger V-angles. This angle often results in the overall
V6_engine
Anatomical region between the torso and the legs
superiorly, medially, and slightly anteriorly. Acetabular angle (or Sharp's angle) is the angle between the horizontal line passing through the inferior aspects
Hip
Depicting depth with levels of darkness
on things like (but not limited to) the surface's angle to lights, its distance from lights, its angle to the camera and material properties (e.g. bidirectional
Shading
Relation between sides of a right triangle
and BDA. Angles CAB and BAG are both right angles; therefore C, A, and G are collinear. Angles CBD and FBA are both right angles; therefore angle ABD equals
Pythagorean_theorem
Type of technical drawing
In the military projection, the angles of the x and z-axis and y and z -axis are at 45°, meaning that the angle between the x-axis and the y-axis is 90°
Oblique_projection
as a function of angle of attack (α) for a hypothetical sail. Polar diagram: Coefficients of lift (CL) and drag (CD) for the angles of attack shown for
Forces_on_sails
Curve in a liquid's surface due to adhesion to the container walls
commonly used in surface science to measure contact angles and surface tension. In a contact angle measurement, the shape of the menisci is measured with
Meniscus_(liquid)
Angle an object subtends at the eye
illusory difference between the perceived visual angles. This finding has implications for spatial illusions such as the visual angle illusion. Visual acuity
Visual_angle
Computer keyboard designed with ergonomic considerations
separating the keyboard, split keyboards typically change the angles and the distance between each section to ensure the user's wrists remain straight. There
Ergonomic_keyboard
Term for a thin, flat camera lens
colloquial term for a flat, thin camera lens assembly (short barrel). The majority are prime lenses of a normal or slightly wider angle of view, but some
Pancake_lens
Type of golf club
position at impact. Most club manufacturers offer customized lie angles between 2° flat and 2° upright. If an iron lie is too upright it can cause a shot
Iron_(golf)
Convex quadrilateral with at least one pair of parallel sides
obtuse angle on each base. An example is parallelogram with equal acute angles. A right trapezoid is a trapezoid with two adjacent right angles. One special
Trapezoid
Mirror with a flat reflecting surface
with a flat (planar) reflective surface. For light rays striking a plane mirror, the angle of reflection equals the angle of incidence. The angle of the
Plane_mirror
Anti-scientific belief
into the early 20th century. A flat Earth journal, Earth: A Monthly Magazine of Sense and Science, was published between 1901 and 1904, edited by Lady
Modern_flat_Earth_beliefs
Flat bone in the middle front part of the rib cage
joint between the manubrium and the body of the sternum (the manubriosternal joint) is the location of the sternal angle. Which is the angle between the
Sternum
Electrical behaviour of layered materials
Twistronics (from twist and electronics) is the study of how the angle (the twist) between layers of two-dimensional materials can change their electrical
Twistronics
Local and global geometry of the universe
from the equator to a pole will have at least two angles equal 90°, which makes the sum of the 3 angles greater than 180°. An example of a negatively curved
Shape_of_the_universe
Distance between the base of a tire and the lowest point of the automobile
Distance between the bottom of the lowest sprung mass and the ground.[citation needed] Approach and departure angles Body lift Breakover angle Center of
Ride_height
Internal combustion engine with two banks of cylinders at an angle resembling a 'V'
the less common flat engine, a V engine is narrower, taller and has a higher center of mass. The "V-angle" (or "included angle") between the cylinder banks
V_engine
Handheld power tool for cutting or polishing
An angle grinder, also known as a side grinder or disc grinder, is a handheld power tool used for grinding (abrasive cutting), polishing, sanding, and
Angle_grinder
butterflies, like the skippers, may hold their wings either flat, or folded, or even in-between (the so-called "jet plane" position) when perched. Typical
Comparison of butterflies and moths
Comparison_of_butterflies_and_moths
Transparent display presenting data within normal sight lines of the user
Keeping the FPV on the horizon allows the pilot to fly level turns in various angles of bank. In addition to the generic information described above, military
Head-up_display
Force due to magnetic field
m and B represent the magnitude of the m and B vectors and θ is the angle between them. If m is in the same direction as B then the dot product is positive
Force_between_magnets
Radiation scattering technique
their scattering at small angles (typically 0.1 – 10°, hence the "Small-angle" in its name). It belongs to the family of small-angle scattering (SAS) techniques
Small-angle_X-ray_scattering
Type of spring shaped like a washer
developed. Today the most used are the profiles with or without contact flats, while some other profiles, like disc springs with trapezoidal cross-section
Belleville_washer
Housing estate in Sheffield, South Yorkshire, England
Hyde Park flats. The high platforms also attracted suicidal jumpers. Government restrictions on how potential tenants were allocated to flats, the decay
Park_Hill,_Sheffield
Airborne radar
looking angle θ (or so called off-nadir angle). The angle α between x-axis and the line of sight (LOS) is called cone angle, the angle φ between the x-axis
Side-looking_airborne_radar
Technology for making moving images
an array of lenses, designed so that when viewed from slightly different angles, different parts of the image underneath are shown.[failed verification
Lenticular_lens
Type of offshore saltwater game fishing
the billfish species, 10 of them are of the most interest to blue water anglers: Atlantic and Pacific blue marlin, black marlin, white marlin, striped
Marlin_fishing
Human settlement in England
turrets at the angles, in the Italianate style by the architect Thomas Edward Knightley. On 24 September 1916, twenty two of the flats were damaged by
Bakers_Arms
Instability in molecules with bonds at unnatural angles
Angle strain occurs when bond angles deviate from the ideal bond angles to achieve maximum bond strength in a specific chemical conformation. Angle strain
Ring_strain
Flat surface set at an angle
a flat surface set at an angle or slant. Such boards may be used for a variety of purposes. Movie studios provide them for actors to rest on between performances
Slant_board
a number of leaf normals and associated angles. The LAD describes the statistical distribution of these angles. Different plant canopies exhibit different
Leaf_angle_distribution
Electronic display technology
it. The electrodes on the two plates are at right angles to each other. A voltage applied between the two electrodes one on each plate causes a small
Flat-panel_display
Doughnut-shaped surface of revolution
system, and θ and φ, angles measured from the center point. As a torus has, effectively, two center points, the centerpoints of the angles are moved; φ measures
Torus
Subduction characterized by a low subduction angle
above a subducted plate (a slab) sliding beneath it with a low subduction angle (<30 degrees to horizontal) beyond the seismogenic layer, and a resumption
Flat_slab_subduction
Country within the United Kingdom
derived from the Old English name Englaland, which means "land of the Angles". The Angles were one of the Germanic tribes that settled in Great Britain during
England
Body panel of an automobile between a rear door and the trunk
English: rear wing) is the body panel (exterior surface) of an automobile between a rear door (or only door on each side for two-door models) and the trunk
Quarter_panel
Angle between each wing or tail surface within a pair
in angles between two front-to-back surfaces: Longitudinal dihedral is the difference between the angle of incidence of the wing root chord and angle of
Dihedral_(aeronautics)
regions between the creases can be colored with two colors. Kawasaki's theorem or Kawasaki-Justin theorem: at any vertex, the sum of all the odd angles (see
Mathematics_of_paper_folding
Science of determining the positions of points and the distances and angles between them
determining the terrestrial positions of points based on the distances and angles between them. These points are usually on the surface of the Earth, and they
Surveying
Mechanical saw used to obtain precise angle cuts
that can pivot to the desired angle for the bevel cut, and can also be adjusted to make precise cuts at various angles for the miter cut. Dual compound-miter
Miter_saw
Historic hotel building in Glendale, California
Register of Historic Resources. Retrieved April 1, 2025. Flats, Glendale. "building". Glendale Flats - Luxury Living in Glendale, CA. Retrieved April 1, 2025
Hotel_Glendale
Correspondence between quaternions and 3D rotations
and cosine, rotation angles differing precisely by the natural period will be encoded into identical quaternions and recovered angles in radians will be
Quaternions and spatial rotation
Quaternions_and_spatial_rotation
Tendency of a liquid surface to shrink to reduce surface area
equilibrium contact angle, θ, which is a function of the easily measurable advancing and receding contact angles (see main article contact angle). This same relationship
Surface_tension
Similar design and engineering specs shared between multiple cars
structural and mechanical components Front and rear axles and the distance between them - wheelbase Steering mechanism and type of power steering Type of
Car_platform
starting a design, and it does not have a fixed relation to the pitch angles and spiral angles. See: Crossed helical gear. A spur gear has a cylindrical pitch
List_of_gear_nomenclature
Solid material with highly ordered microscopic structure
commonly recognized, macroscopically, by their shape, consisting of flat faces with sharp angles. These shape characteristics are not necessary for a crystal—a
Crystal
Musical scale comprising seven notes
usually reckoned at six sharps or flats for the major keys of F♯ = G♭ and D♯ = E♭ for minor keys. Seven sharps or flats make major keys (C♯ major or C♭
Major_scale
Abrupt reduction in lift due to flow separation
begins at small angles of attack near the trailing edge of the wing while the rest of the flow over the wing remains attached. As angle of attack increases
Stall_(fluid_dynamics)
American popular music vocal group
included 1970's "One Less Bell to Answer" (U.S. No. 2), 1971's "Love's Lines, Angles and Rhymes" (U.S. No. 19) and "Never My Love" (U.S. No. 12), and 1972's
The_5th_Dimension
Polyhedron with four faces
tetrahedron. In a trirectangular tetrahedron the three face angles at one vertex are right angles, as at the corner of a cube. An isodynamic tetrahedron is
Tetrahedron
Horizontally-opposed 12-cylinder piston engine
upwards). The intake ports are between the intake and exhaust camshafts, just above the spark-plugs, pointing at an outward angle from the vertical. This was
Flat-twelve_engine
Heritage listed building in Victoria, Australia
Station & Flats". vhd.heritage.vic.gov.au. Archived from the original on 11 December 2024. Retrieved 16 April 2012. "Brunswick Fire Station and Flats". vhd
Brunswick Fire Station and Flats
Brunswick_Fire_Station_and_Flats
Subspace of n-space whose dimension is (n-1)
Euclidean space, in which case the hyperplanes are the (n − 1)-dimensional "flats", each of which separates the space into two half spaces. A reflection across
Hyperplane
1930s blocks of flats in Manchester, England
steel. The blocks at right angles to the road have rounded ends, and the other block at the east end has a U-shaped plan. The flats have cantilevered balconies
Appleby_Lodge
Pressure wave
cone. A Mach wave propagates across the flow at the Mach angle μ, which is the angle formed between the Mach wave wavefront and a vector that points opposite
Mach_wave
Astrological chart or diagram
representing the positions of the Sun, Moon, planets, astrological aspects and angles at the time of an event, such as the moment of a person's birth. The word
Horoscope
parallelism to as much as three degrees of angle. Even though high-precision optics, such as optical flats, may be lapped and polished to extremely high
Wedge_prism
United States Navy's flight demonstration squadron
and opposing solos (Blue Angels 5 and 6). Most of the show alternates between maneuvers performed by the diamond formation and those performed by the
Blue_Angels
Measuring and marking tool
Measuring and checking angles between surfaces, edges, and markings. Marking angles from an edge Directly transferring angles, like a bevel gauge (sliding
Combination_square
ANGLES BETWEEN-FLATS
ANGLES BETWEEN-FLATS
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
Spanish American Greek Latin
Angel.
Boy/Male
Australian, French, German, Swedish
Messenger of God; Angel
Female
English
Feminine form of Latin Angelus, ANGELA means "angel, messenger."
Girl/Female
Latin
From the Andes.
Girl/Female
Australian, Greek, Latin
Messenger from God; Angel
Male
Italian
Italian form of Latin Angelus, ANGELO means "angel, messenger."
Female
Basque
, of the Angles.
Girl/Female
Greek American Italian Latin
Messenger or angel. A popular masculine name in Sicily after the 13th-century saint, Angel. Angel...
Female
English
English unisex name derived from Latin Angelus, ANGEL means "angel, messenger."Â Originally a male name, it is now almost strictly female.
Surname or Lastname
English
English : Americanized form of French Anglais ‘English(man)’.
Girl/Female
Latin American Greek
Angel; Like an angel. From angelicus meaning angelic.
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.
Girl/Female
Afghan, American, British, Christian, English, Finnish, French, Greek, Indian, Irish, Lebanese, Polish, Portuguese, Romanian, Spanish, Swedish, Tamil
Heavenly Messenger; Angel; Messenger from God
Boy/Male
British, English
From Anglesey
Male
Greek
(Ἄγγελος) Greek name derived from the word angelos, originally ANGELOS means simply "messenger," later in New Testament Greek it acquired the meaning "angel, messenger of God."Â
Girl/Female
French Spanish American Italian Latin Greek
Angel.
Female
English
English short form of Latin Angela, ANGIE means "angel, messenger."
Female
Arthurian
, child of the Angles (?).
Female
English
Feminine variant spelling of English unisex Angel, ANGELL means "angel, messenger."
ANGLES BETWEEN-FLATS
ANGLES BETWEEN-FLATS
Boy/Male
Hindu
Best wishes, Offering to God
Boy/Male
Danish, German, Swedish
Great Eagle
Surname or Lastname
English
English : topographic name for someone who lived on a patch of land on which grew bent grass, rushes, or reeds (Middle English bent).
Girl/Female
Indian, Sanskrit, Traditional
Cute; Intelligent; Loving; Attractive; Goddess Durga
Boy/Male
African, American, Australian, British, Christian, English, French, German
Strong Counselor; Fox; Mighty; Brave; Powerful; Courageous; Wise Ruler; Bold
Girl/Female
Hindu
The God of Love
Girl/Female
Hindu, Indian, Marathi, Sanskrit
Exquisite Beauty; Splendour
Boy/Male
Hindu, Indian, Tamil
Lord Shiva
Boy/Male
Indian
Lion, A brave person, An army
Male
English
Variant spelling of English Curtis, KURTIS means "courteous."
ANGLES BETWEEN-FLATS
ANGLES BETWEEN-FLATS
ANGLES BETWEEN-FLATS
ANGLES BETWEEN-FLATS
ANGLES BETWEEN-FLATS
prep.
With relation to two, as involved in an act or attribute of which another is the agent or subject; as, to judge between or to choose between courses; to distinguish between you and me; to mediate between nations.
a.
Relating to an angle or to angles; having an angle or angles; forming an angle or corner; sharp-cornered; pointed; as, an angular figure.
v. i.
To fish with an angle (fishhook), or with hook and line.
a.
Containing a right angle or right angles; as, a right-angled triangle.
n.
One who angles.
n. pl.
An ancient Low German tribe, that settled in Britain, which came to be called Engla-land (Angleland or England). The Angles probably came from the district of Angeln (now within the limits of Schleswig), and the country now Lower Hanover, etc.
imp. & p. p.
of Dangle
prep.
In the space which separates; betwixt; as, New York is between Boston and Philadelphia.
a.
Having ankles; -- used in composition; as, well-ankled.
imp. & p. p.
of Jangle
a.
Having oblique angles; as, an oblique-angled triangle.
prep.
Belonging to, or participated in by, two, and involving reciprocal action or affecting their mutual relation; as, opposition between science and religion.
imp. & p. p.
of Mangle
a.
Having an angle or angles; -- used in compounds; as, right-angled, many-angled, etc.
adv. or prep.
Between.
a.
Having eight angles; eight-angled.
prep.
In intermediate relation to, in respect to time, quantity, or degree; as, between nine and ten o'clock.
imp. & p. p.
of Angle
a.
Having angles or corners; angled; as, angulate leaves.
a.
Having acute angles; as, an acute-angled triangle, a triangle with every one of its angles less than a right angle.