The DICT Development Group

Search for:
Search type:

Database copyright information
Server information
Wiki: Resources, links, and other information

2 definitions found
 for Radical axis of two circles
From The Collaborative International Dictionary of English v.0.48 :

  Radical \Rad"i*cal\ (r[a^]d"[i^]*kal), a. [F., fr. L. radicalis
     having roots, fr. radix, -icis, a root. See Radix.]
     1. Of or pertaining to the root; proceeding directly from the
        [1913 Webster]
     2. Hence: Of or pertaining to the root or origin; reaching to
        the center, to the foundation, to the ultimate sources, to
        the principles, or the like; original; fundamental;
        thorough-going; unsparing; extreme; as, radical evils;
        radical reform; a radical party.
        [1913 Webster]
              The most determined exertions of that authority,
              against them, only showed their radical
              independence.                         --Burke.
        [1913 Webster]
     3. (Bot.)
        (a) Belonging to, or proceeding from, the root of a plant;
            as, radical tubers or hairs.
        (b) Proceeding from a rootlike stem, or one which does not
            rise above the ground; as, the radical leaves of the
            dandelion and the sidesaddle flower.
            [1913 Webster]
     4. (Philol.) Relating, or belonging, to the root, or ultimate
        source of derivation; as, a radical verbal form.
        [1913 Webster]
     5. (Math.) Of or pertaining to a radix or root; as, a radical
        quantity; a radical sign. See below.
        [1913 Webster]
     Radical axis of two circles. (Geom.) See under Axis.
     Radical pitch, the pitch or tone with which the utterance
        of a syllable begins. --Rush.
     Radical quantity (Alg.), a quantity to which the radical
        sign is prefixed; specifically, a quantity which is not a
        perfect power of the degree indicated by the radical sign;
        a surd.
     Radical sign (Math.), the sign [root] (originally the
        letter r, the initial of radix, root), placed before any
        quantity, denoting that its root is to be extracted; thus,
        [root]a, or [root](a + b). To indicate any other than the
        square root, a corresponding figure is placed over the
        sign; thus, [cuberoot]a, indicates the third or cube root
        of a.
     Radical stress (Elocution), force of utterance falling on
        the initial part of a syllable or sound.
     Radical vessels (Anat.), minute vessels which originate in
        the substance of the tissues.
        [1913 Webster]
     Syn: Primitive; original; natural; underived; fundamental;
     Usage: Radical, Entire. These words are frequently
            employed as interchangeable in describing some marked
            alteration in the condition of things. There is,
            however, an obvious difference between them. A radical
            cure, reform, etc., is one which goes to the root of
            the thing in question; and it is entire, in the sense
            that, by affecting the root, it affects in an
            appropriate degree the entire body nourished by the
            root; but it may not be entire in the sense of making
            a change complete in its nature, as well as in its
            extent. Hence, we speak of a radical change; a radical
            improvement; radical differences of opinion; while an
            entire change, an entire improvement, an entire
            difference of opinion, might indicate more than was
            actually intended. A certain change may be both
            radical and entire, in every sense.
            [1913 Webster]

From The Collaborative International Dictionary of English v.0.48 :

  Axis \Ax"is\, n.; pl. Axes. [L. axis axis, axle. See Axle.]
     A straight line, real or imaginary, passing through a body,
     on which it revolves, or may be supposed to revolve; a line
     passing through a body or system around which the parts are
     symmetrically arranged.
     [1913 Webster]
     2. (Math.) A straight line with respect to which the
        different parts of a magnitude are symmetrically arranged;
        as, the axis of a cylinder, i. e., the axis of a cone,
        that is, the straight line joining the vertex and the
        center of the base; the axis of a circle, any straight
        line passing through the center.
        [1913 Webster]
     3. (Bot.) The stem; the central part, or longitudinal
        support, on which organs or parts are arranged; the
        central line of any body. --Gray.
        [1913 Webster]
     4. (Anat.)
        (a) The second vertebra of the neck, or vertebra
        (b) Also used of the body only of the vertebra, which is
            prolonged anteriorly within the foramen of the first
            vertebra or atlas, so as to form the odontoid process
            or peg which serves as a pivot for the atlas and head
            to turn upon.
            [1913 Webster]
     5. (Crystallog.) One of several imaginary lines, assumed in
        describing the position of the planes by which a crystal
        is bounded.
        [1913 Webster]
     6. (Fine Arts) The primary or secondary central line of any
        [1913 Webster]
     Anticlinal axis (Geol.), a line or ridge from which the
        strata slope downward on the two opposite sides.
     Synclinal axis, a line from which the strata slope upward
        in opposite directions, so as to form a valley.
     Axis cylinder (Anat.), the neuraxis or essential, central
        substance of a nerve fiber; -- called also axis band,
        axial fiber, and cylinder axis.
     Axis in peritrochio, the wheel and axle, one of the
        mechanical powers.
     Axis of a curve (Geom.), a straight line which bisects a
        system of parallel chords of a curve; called a principal
        axis, when cutting them at right angles, in which case it
        divides the curve into two symmetrical portions, as in the
        parabola, which has one such axis, the ellipse, which has
        two, or the circle, which has an infinite number. The two
        axes of the ellipse are the major axis and the minor
        axis, and the two axes of the hyperbola are the
        transverse axis and the conjugate axis.
     Axis of a lens, the straight line passing through its
        center and perpendicular to its surfaces.
     Axis of a microscope or Axis of a telescope, the straight
        line with which coincide the axes of the several lenses
        which compose it.
     Axes of co["o]rdinates in a plane, two straight lines
        intersecting each other, to which points are referred for
        the purpose of determining their relative position: they
        are either rectangular or oblique.
     Axes of co["o]rdinates in space, the three straight lines
        in which the co["o]rdinate planes intersect each other.
     Axis of a balance, that line about which it turns.
     Axis of oscillation, of a pendulum, a right line passing
        through the center about which it vibrates, and
        perpendicular to the plane of vibration.
     Axis of polarization, the central line around which the
        prismatic rings or curves are arranged. --Brewster.
     Axis of revolution (Descriptive Geom.), a straight line
        about which some line or plane is revolved, so that the
        several points of the line or plane shall describe circles
        with their centers in the fixed line, and their planes
        perpendicular to it, the line describing a surface of
        revolution, and the plane a solid of revolution.
     Axis of symmetry (Geom.), any line in a plane figure which
        divides the figure into two such parts that one part, when
        folded over along the axis, shall coincide with the other
     Axis of the equator, ecliptic, horizon (or other circle
        considered with reference to the sphere on which it lies),
        the diameter of the sphere which is perpendicular to the
        plane of the circle. --Hutton.
     Axis of the Ionic capital (Arch.), a line passing
        perpendicularly through the middle of the eye of the
     Neutral axis (Mech.), the line of demarcation between the
        horizontal elastic forces of tension and compression,
        exerted by the fibers in any cross section of a girder.
     Optic axis of a crystal, the direction in which a ray of
        transmitted light suffers no double refraction. All
        crystals, not of the isometric system, are either uniaxial
        or biaxial.
     Optic axis, Visual axis (Opt.), the straight line passing
        through the center of the pupil, and perpendicular to the
        surface of the eye.
     Radical axis of two circles (Geom.), the straight line
        perpendicular to the line joining their centers and such
        that the tangents from any point of it to the two circles
        shall be equal to each other.
     Spiral axis (Arch.), the axis of a twisted column drawn
        spirally in order to trace the circumvolutions without.
     Axis of abscissas and Axis of ordinates. See Abscissa.
        [1913 Webster]

Questions or comments about this site? Contact webmaster@dict.org