• Grinding Angle, 20°;. Whetting Angle, 25°
    Grinding Angle, 20°;. Whetting Angle, 25°
  • WordNet 3.6
    • adj angled forming or set at an angle "angled parking"
    • ***

Additional illustrations & photos:

Using a Handscrew to hold a Board at an Angle Using a Handscrew to hold a Board at an Angle
Angles Angles
Fishing with an Angle Fishing with an Angle
Right-angled Arc Lamp Right-angled Arc Lamp

Webster's Revised Unabridged Dictionary
  • Interesting fact: Even though a polar bears fur looks white it is actually colourless and is made with hollow tubes. The reason the bear looks white is because the rough inner surface of the tubes make light scatter and reflect at many different angles which gives the white appearance
    • a Angled Having an angle or angles; -- used in compounds; as, right-angled, many-angled, etc. "The thrice three- angled beechnut shell."
    • ***
Century Dictionary and Cyclopedia
  • Interesting fact: The reason why some people get a cowlick is because the growth of their hair is in a spiral pattern, which causes the hair to either stand straight up, or goes to a certain angle
    • angled Having angles. Specifically, in heraldry, broken in an angular direction: said of the boundary of an ordinary or of any other line usually straight. See beveled.
    • angled A term applied to a billiard-ball which, when resting near the edge of a pocket, is so masked by the cushion that it cannot hit the desired object.
    • ***


  • George Santayana
    “To knock a thing down, especially if it is cocked at an arrogant angle, is a deep delight to the blood.”
  • Peter Conrad
    Peter Conrad
    “All that a city will ever allow you is an angle on it -- an oblique, indirect sample of what it contains, or what passes through it; a point of view.”
  • Daniel J. Boorstin
    “The traditional novel form continues to enlarge our experience in those very areas where the wide-angle lens and the Cinema screen tend to narrow it.”
  • Samuel Johnson
    “Fly fishing may be a very pleasant amusement; but angling or float fishing I can only compare to a stick and a string, with a worm at one end and a fool at the other.”
  • Izaak Walton
    Izaak Walton
    “Angling may be said to be so like the mathematics that it can never be fully learned.”
  • Lord Chesterfield
    “Modesty is the only sure bait when you angle for praise.”


From a different angle - If you look at something from a different angle, you look at it from a different point of view.


In literature:

The Court of Awards enters and takes its place at right angles to the assembled guests.
"Scouting For Girls, Official Handbook of the Girl Scouts" by Girl Scouts
The piston is about to commence its stroke towards the left; and the eccentric, which is set at an angle of 90 deg.
"How it Works" by Archibald Williams
It is crowned with an embankment of earth, which runs all round the top with many angles.
"My Days and Nights on the Battle-Field" by Charles Carleton Coffin
The other angles terminate in three rectangular turrets about fourteen feet square, and twenty-seven feet high above the roof.
"Memorials of Old London" by Various
The screws should be tightened so that the rudders will stay at any angle at which they are put.
"Boys' Book of Model Boats" by Raymond Francis Yates
The angle chambers have either cross-groined vaults or flat dome vaults.
"Byzantine Churches in Constantinople" by Alexander Van Millingen
Almost at right angles to the river, on the west, the main road from Estaires to La Bassee skirts Neuve Chapelle.
"The Story of the Great War, Volume III (of VIII)" by Various
In the southwest angle formed by the Meuse, forts Maizeret, Andoy and Dave continued the ring.
"The Story of the Great War, Volume II (of VIII)" by Various
The sticks were now fastened at this angle and put away till the morning.
"Boy Scouts Handbook" by Boy Scouts of America
There is now very little discussion relative to the advantages and disadvantages of the first and third angle projection.
"College Teaching" by Paul Klapper
And not even a voice could make itself heard in the howling of the wind as it shrieked about the angles of the building.
"The Golden Woman" by Ridgwell Cullum
The vines are then decapitated at the surface of the ground and at right angles with the axis of the stock.
"Manual of American Grape-Growing" by U. P. Hedrick
Wings of the small fruit at about a right angle.
"Trees of the Northern United States" by Austin C. Apgar
There was a clashing, despite her climbing angle, of branches upon the running gear, but she broke through and shot upward, trying to stall.
"Astounding Stories of Super-Science, June, 1930" by Various
And these two great sets of lines will commonly be at right angles with each other, or nearly so.
"Modern Painters Volume I (of V)" by John Ruskin
A gray, three-fingered hand held an angled tube significantly.
"Slaves of Mercury" by Nat Schachner
The capitals baskets of the attached columns are carved with two angle hooks.
"Romanesque Art in Southern Manche: Album" by Marie Lebert
For instance, in geometry, angles are measured by the number of degrees.
"A Critical History of Greek Philosophy" by W. T. Stace
Buttresses at angles always in pairs.
"Architecture" by Thomas Roger Smith
The lenses subtend an angle of 92 deg.
"Encyclopaedia Britannica, 11th Edition, Volume 16, Slice 6" by Various

In poetry:

Hard by, were challenges to wrangle
On any themes, or all—
From the trisection of the angle
To what they termed the Fall.
"Two Visions" by Alfred Austin
And O, what a wonder!
No farther asunder
Than atoms are laid,
The arches and angles
Of star-froth and spangles
Cast their own shade.
"Mist And Frost" by Duncan Campbell Scott
Neglected walks a-tangle
With dodder-strangled grass;
And every mildewed angle
Heaped with dead leaves that spangle
The paths that round it pass.
"One Day And Another: A Lyrical Eclogue – Part III" by Madison Julius Cawein
All afternoon these lovers lay
Until the sun turned pale from warm,
Until sweet wind changed tune, blew harm :
Cruel nettles stung her angles raw.
"Bucolics" by Sylvia Plath
Trust me, masters, crystals have their day,
Eager to attain the perfect norm,
Lit with purpose, potent to display
Facet, angle, colour, beauty, form.
"Snow" by John Davidson
This heard, Sir, play stil in her eyes,
And be a dying, live like flyes
Caught by their angle-legs, and whom
The torch laughs peece-meale to consume.
"Against The Love Of Great Ones" by Richard Lovelace

In news:

Hummer H3 Left Front Angle.
Hummer H3 Left Rear Angle.
2007 Bmw 760Li Rear Angle.
She cradled it in her hand like a precious jewel, eyeing it from every angle -- the slender but comfortably low heel , the twigginess of the coral, the near weightlessness of the strips of leather masquerading as a shoe.
Pelley also did a report on New Orleans that dealt with climate change, and he is now exploring different angles for another possible global warming story next season.
Faster is a throwback to the action films of the 1970s, from the production color schemes to the film stock and camera angles utilized by cinematographer Michael Grady.
Taking cues from architecture and interiors, the season's freshest prints offer a new angle on geometry.
And the whole "you'll know first by text message" angle turned out to be a load of hot air.
Slim Fortune, Sun Angle, XDS, No Tomorrow Boys, DJ Pretty Ugly.
( Kirk McKoy / Los Angles Times ).
1937 Hudson Custom Truck Right Rear Angle.
Are you calling me an angle.
A Superior Medium-Format Digital Wide-Angle Camera.
2002 Chevy Silverado Hot Blooded Left Front Angle.
Whatever you say must be considered from at least three angles, and it's an awkward triangulation.

In science:

FIG. 6: The exit angle (in degrees) θe for the outer solitons, as found from the simulations of the collision, vs. the incidence angle θi .
Polychromatic solitons in a quadratic medium
The angles are between the solitons’ tra jectories and the z axis in the (x, z ) plane, so that an increase in the incidence angle corresponds to an increase in the collision velocity.
Polychromatic solitons in a quadratic medium
Let αn denote the angle π − oxnyn , and let α′ n denote the analogous angle in the counterclockwise direction.
Random walks that avoid their past convex hull
As to the deviations at smaller angles there have not been suitable data for a detailed comparison; it would be very interesting to perform a thorough comparison of theoretical predictions in the whole angle range.
Quantum mechanics and EPR paradox
However, even in such a case some greater deviations remain in the region of small angles, which might indicate that or the Malus law is not fully exact at the given angles or some mechanism exists that changes polarization of a photon passing through a polarizer.
Quantum mechanics and EPR paradox
We can define all the unit vectors in terms of one set of polar angles (θ ′ , ϕ′ ) = (θ bw , ϕ bw ), with the angles (θbu , ϕbu ) and (θbv , ϕbv ) defined in such a way as to ensure that the conditions Eqs. (41) and (42) are satisfied.
Generalized Spherical Harmonics
We currently employ a test statistic which measures the differences square of the cosines of the geometrically measured angles jgeo and the photon scattering angles ¯j inferred from the measured energy depositions.
The LXeGRIT Compton Telescope Prototype: Current Status and Future Prospects
The main characteristics of the observed distribution are recovered (end of the bar around 3 − 4 kpc, pitch angle ≈ 20◦ for the secondary outer features), but only a very faint structure with a low pitch-angle is present in the outer disk (r & 10 kpc).
On the Spiral Structure of NGC 2915 and Dark Matter
The angle θ from the vertical axis to the pro jected point on the smaller sphere is exactly twice the angle φ for the larger sphere.
Spinors in Quantum Geometrical Theory
Here the additional asymmetry is provided by the fact that the energy carried by the jet per unit solid angle is a function of the angle from the jet axis.
Polarization of Gamma--Ray Burst Optical and Near-Infrared Afterglows
The angle ϕ(w, r) is then their common winding angle down to distance r (Fig. 20) The scaling limit in (8.2) involves multifractal scaling exponents τ (n, p) which vary in a non-linear way with n and p.
Conformal Fractal Geometry and Boundary Quantum Gravity
We have seen in section 6.3 the geometrical meaning to the exponent α: For an angle with opening θ, α = π/θ, the quantity π/α can be regarded as a local generalized angle with respect to the harmonic measure.
Conformal Fractal Geometry and Boundary Quantum Gravity
The relative spacing of the potential minima of the optical lattices can be shifted by modulating the angle between the two counter-propagating waves, in particular the minima of the two lattices coincide when the angle is a multiple of π/2.
Quantum random walks - an introductory overview
R(α, β , γ ) = g (α)k(β )h(γ ) =  where g and h are rotations around the y axis by the angles α and γ respectively, and k is a rotation around the z axis by the angle β .
Random matrix theory and symmetric spaces
We note that the angles Φ, Θ, Ψ in the complex matrix representation (4.3) are the Euler angles of an arbitrary rotation in three-dimensional space .
Quantum Physics of Simple Optical Instruments