radius

Definitions

  • WordNet 3.6
    • n radius support consisting of a radial member of a wheel joining the hub to the rim
    • n radius the length of a line segment between the center and circumference of a circle or sphere
    • n radius the outer and slightly shorter of the two bones of the human forearm
    • n radius a circular region whose area is indicated by the length of its radius "they located it within a radius of 2 miles"
    • n radius a straight line from the center to the perimeter of a circle (or from the center to the surface of a sphere)
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Webster's Revised Unabridged Dictionary
    • Radius (Bot) A ray, or outer floret, of the capitulum of such plants as the sunflower and the daisy. See Ray, 2.
    • Radius (Geom) A right line drawn or extending from the center of a circle to the periphery; the semidiameter of a circle or sphere.
    • Radius (Zoöl) Radiating organs, or color-markings, of the radiates.
    • Radius (Zoöl) The barbs of a perfect feather.
    • Radius The movable limb of a sextant or other angular instrument.
    • Radius (Anat) The preaxial bone of the forearm, or brachium, corresponding to the tibia of the hind limb. See Illust. of Artiodactyla.
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Century Dictionary and Cyclopedia
    • n radius In mathematics, one of a number of lines proceeding from a center; a ray; especially, a line drawn from the center to the periphery of a circle or sphere; also, the measure of the semidiameter.
    • n radius In anatomy and zoology, the outer one of the two bones of the forearm, or corresponding part of the fore leg; the bone on the thumb side of the forearm, extending from the humerus to the carpus, and bearing upon its distal end the manus or hand: so called from its revolving, somewhat like a spoke, about the ulna, as in man and other mammals whose fore limb exhibits the motions called pronation and supination. In most animals, however, the radius is motionless, being fixed in a state of pronation, when it appears as the inner rather than the outer of the two bones, or as by far the larger bone, of the forearm, the ulna being often much reduced. In man the radius is as long as the ulna without the olecranon, and somewhat stouter, especially in its distal parts. It presents a small, circular, cupped and button-like head, for articulation with the capitulum of the humerus and lesser sigmoid cavity of the ulna, following which is a constriction termed the neck, and next to this a tubercle for the insertion of the biceps muscle. The shaft enlarges from above downward, and is of somewhat prismatic form, with the sharpest edge of the prism presenting toward the ulna. The lower end has two large articular facets for articulation with the scaphoid and lunar bones (forming the radiocarpal articulation, or wrist-joint), a lateral facet for the radio-ulnar articulation, and a stout projection called the styloid process, for the insertion of the supinator lougus muscle. The radius is pronated by the pronator radii teres and pronator quadratus, and supinated by the supinator longus and supinator brevis, assisted by the biceps. Quite a similar form and disposition of the radius characterize various mammals which use their fore paws like hands, as monkeys, mice, squirrels, opossums, etc. The radius of others, as the horse and ox, is more different, and associated with a much reduced and ankylosed ulna. In birds the radius is so peculiarly articulated with the humerus that it slides lengthwise back and forth upon the ulna in the opening and closing of the wing, pronation and supination being absent in this class of animals. See pronation and supination, and cuts under carpus, Catarrhina, Equidæ, forearm, ox, pinion, Plesiosaurus, and solidungulate.
    • n radius In ichthyology, a bone of the pectoral arch, wrongly identified by some naturalists with the radius of higher vertebrates. The one so called by Cuvier is the hypercoracoid, and that of Owen is the hypocoracoid.
    • n radius In entomology, a vein of the wing of some insects, extending from the pterostigma to the tip of the wing.
    • n radius In conchology, a genus of Ovulidæ. R. volra is the shuttle-shell or weaver-shell.
    • n radius plural In ornithology, the barbs of the main shaft of a feather; the rays of the first order of the rachis.
    • n radius In arachnology, one of the radiating lines of a geometrical spider's web, which are connected by a single spiral line.
    • n radius In echinoderms, one of the five radial pieces of the dentary apparatus of a sea-urchin, being an arched rod-like piece articulated at its base with the inner extremity of each rotula, running more or less nearly parallel with the rotula, and ending in a free bifurcated extremity. Also called the compass of the lantern of Aristotle (which see, under lantern). See also cut B under lantern.
    • n radius plural Specifically, in Cirripedia, the lateral parts of the shell, as distinguished from the paries, when they overlap: when overlapped by others, they are called alæ.
    • n radius In botany, a ray, as of a composite flower, etc.
    • n radius The movable limb or arm of a sextant; also, a similar feature in any other instrument for measuring angles.
    • n radius In fortification, a line drawn from the center of the polygon to the end of the outer side.
    • n radius One of the principal longitudinal veins in an insect's wing, between the subcosta and the præmedia. It is vein III of Comstock's system.
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Chambers's Twentieth Century Dictionary
    • n Radius rā′di-us (geom.) a straight line from the centre to the circumference of a circle: anything like a radius, as the spoke of a wheel: a ray: :
    • n Radius rā′di-us (anat.) the exterior bone of the arm
    • n Radius rā′di-us (bot.) the ray of a flower: the movable arm of a sextant: one of the radiating lines of a geometrical spider's web
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Etymology

Webster's Revised Unabridged Dictionary
L., a staff, rod, spoke of a wheel, radius, ray. See Ray a divergent line
Chambers's Twentieth Century Dictionary
L., a rod.

Usage

In literature:

She was rather glad that he would be beyond conversational radius.
"Parrot & Co." by Harold MacGrath
You're sure she'll have at least a thousand-mile cruising radius?
"Star Born" by Andre Norton
Bones of the fore-arm (ulna and radius).
"The People's Common Sense Medical Adviser in Plain English" by R. V. Pierce
He circled again with about an eighth of a mile radius, but still no wolf tracks were to be seen.
"The Drama of the Forests" by Arthur Heming
Water from a huge reservoir filled by melting snow on their summits supplies water to towns within a radius of a hundred miles.
"I Married a Ranger" by Dama Margaret Smith
The boy looked within a radius of a few feet, then looked up at the hunter.
"The Boy With the U. S. Foresters" by Francis Rolt-Wheeler
Franklin sat on the grass in front of Althea, just outside the radius of shadow, clasping his thin knees with his thin hands.
"Franklin Kane" by Anne Douglas Sedgwick
The bull's-eye so located was usually within a half-inch radius of the triangle tip.
"Sergeant York And His People" by Sam Cowan
The day was an event in the lives of every man, woman and child within a radius of twenty miles.
"The Southerner" by Thomas Dixon
The 72-footers develop a speed of twenty-eight knots and have a cruising radius exceeding 1200 miles.
"Kelly Miller's History of the World War for Human Rights" by Kelly Miller
The ulna and radius in the rorquals are also comparatively longer than in the baleen whales.
"Natural History of the Mammalia of India and Ceylon" by Robert A. Sterndale
If w is the weight of a locomotive in tons, r the radius of curvature of the track, v the velocity in feet per sec.
"Encyclopaedia Britannica, 11th Edition, Volume 4, Part 3" by Various
Their stores and offices were within a short radius of the hotel.
"The Colonel's Dream" by Charles W. Chesnutt
Slightly more than half the circumference is circular with radius 2a, the other part with radius 3a.
"Encyclopaedia Britannica, 11th Edition, Volume 4, Part 4" by Various
Then a fourth, a fifth; soon the number had run to a score, all within a small radius.
"The White Desert" by Courtney Ryley Cooper
With any convenient radius describe circle.
"The Theory and Practice of Perspective" by George Adolphus Storey
One catches snatches of conversation from a dozen languages within the radius of hearing.
"Europe After 8:15" by H. L. Mencken, George Jean Nathan and Willard Huntington Wright
Then, taking R as your centre, F R as your radius, describe the circle of Logic.
"'That Very Mab'" by May Kendall and Andrew Lang
A vast spider's web seemed to spread its tender cordage round each household, for the crippling of every winged creature within its radius.
"The Daughters of Danaus" by Mona Caird
Radius of safety roller to be 4/7 of the theoretical impulse radius.
"An Analysis of the Lever Escapement" by H. R. Playtner
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In poetry:

'Tis said he wonders why it is,
That all the land makes such a phiz,
And why they keep in strict reserve,
A shield for the olfactory nerve;
When e'er My Policy is brought
Within the radius of their thought.
"Modern Moses" by James Madison Bell

In news:

EFI Radius company profile on Label & Narrow Web.
Recent news and coverage of Radius Construction.
An international team of scientists working with the Event Horizon Telescope project have been able to measure the radius of a black hole for the first time.
Radius Raises $91 Million, Moves Toward Public Listing.
Radius Commercial Real Estate.
Charles Machine Works fully acquires Radius Professional HDD Tools.
The Charles Machine Works, Inc (CMW), a manufacturer of underground construction equipment, has acquired 100 percent ownership of Radius Professional HDD Tools in Weatherford, Texas.
Blast Radius will help Indigo blast off with a new website.
The Radius 06 is a neutral shoe that appealed both to our larger wear-testers and those runners who, despite their efficient strides, prefer an insulated, not overly flexible, ride.
Radius Professional HDD Tools Launches Website.
A rendering of a Radius guest room shows the "fresh and eclectic" look envisioned for the new rooms.
Nature's Gate, Radius co-promote oral care products.
Radius Hospitality Group of Canton has been chosen by the Carroll County Commissioners to operate Atwood Lake Resort and Conference Center.
Judson at Franklin Circle Ali and Marcie Barker of Radius Restaurant, in Chagrin Falls.
NEW YORK WPP Group has continued its addition of interactive assets, completing its acquisition of Canadian digital shop Blast Radius .
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In science:

N , α′ e , compactified on a circle of radius R, is T-dual to DLCQ IIA string 3Boosting the system by an additional finite amount just rescales this null radius.
IIA/B, Wound and Wrapped
As an approximation, we use the radius r in the Schwarzschild coordinates as the radius in the flat space-time.
General Relativistic Modification of a Pulsar Electromagnetic Field
Lemma 4.5 The essential spectal radius of the operator PT : Fα → Fα belongs to the disk or radius ΛT (α) centered at zero.
Perron-Frobenius spectrum for random maps and its approximation
The curvature radius of the background (2.37) can be estimated from the radius of the 7sphere forming the black string horizon.
Duality Cascade and Oblique Phases in Non-Commutative Open String Theory
Accordingly, call a superlocal potential of radius r a function Φ : A(0) r → R ∪ {+∞}, that is a function on the set of finite rooted spin graphs of radius r with respect to 0, invariant with respect to the isomorphisms.
Gibbs and Quantum Discrete Spaces
The pair (ψ , ξ ) is called minimal, if ψ(Γi ) does not belong to a neighborhood of 0 of radius less than the radius R(ξ ) = R0 (ξ ) of the graph ξ .
Gibbs and Quantum Discrete Spaces
The radius of the orbifold is taken to be much larger than the radius of the Calabi-Yau three-fold, implying that there is a large energy range where an effective 5-d description of the physics applies .
On the Spectrum of Fluctuations in an Effective Field Theory of the Ekpyrotic Universe
The fluid and its gravitation are described by five functions depending on the radius: λ, ν, ρ, p and the charge function q which measures the charge within radius r.
Static charged perfect fluid spheres in general relativity
Then we have, for every radius r > 0, an index n0 = n0 (r) such that every set Un , n ≥ n0 , contains a metric bal l of radius r .
Integrated density of states for ergodic random Schr\"odinger operators on manifolds
We assume that the cross-sectional profile of the tube is a circle whose radius a is much smaller than either the radius of curvature of the ring or the local scale height of the surrounding, unmagnetized, radiative envelope.
Magnetic Fields in Massive Stars. II. The Buoyant Rise of Magnetic Flux Tubes Through the Radiative Interior
If P (D) is W-elliptic with radius rε , then all real roots of Pε (ξ ) = 0 lie within the radius rε .
Elliptic regularity and solvability for partial differential equations with Colombeau coefficients
It corresponds to the statement in GR that the star’s radius must be bigger than its Schwarzschild radius, which in isotropic coordinates is indeed given by RS = GMG /2c2 .
Close encounters of black holes
It also depends implicitly on radius, since, at fixed θ and φ, the radius R varies with time.
Trapped Protostellar Winds and their Breakout
First, consider an closed annulus of inner radius ǫ and outer radius ǫ/2.
Random Surfaces
Therefore, overdense structures with a radius greater than the Hubble radius and vb < 0 may be glued to a background FRW with k = 0, −1.
Formation of cosmological mass condensation within a FRW universe: exact general relativistic solutions
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