Radical axis of two circles

Radical axis of two circles
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 root. [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; entire.

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]


The Collaborative International Dictionary of English. 2000.

Look at other dictionaries:

  • Radical axis of two circles — 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… …   The Collaborative International Dictionary of English

  • Radical axis — This article is about the radical axis used in geometry. For the animation studio, see Radical Axis (studio). Figure 1. Illustration of the radical axis (red line) of two given circles (solid black). For any point P (blue) on the radical axis, a… …   Wikipedia

  • radical axis — noun 1. : a straight line that is the locus of points from which tangents drawn to two given circles are equal 2. : a straight line common to the three radical planes of three given spheres taken in pairs * * * Geom. the line such that tangents… …   Useful english dictionary

  • radical axis — /rædɪkəl ˈæksəs/ (say radikuhl aksuhs) noun (of two circles) the line such that tangents drawn from any point of the line to the two circles are equal in length …   Australian-English dictionary

  • radical axis — noun The line containing the locus of points from which the segments respectively tangent to two given circles have equal length. Syn: radical line See Also: radical center …   Wiktionary

  • radical axis — Geom. the line such that tangents drawn from any point of the line to two given circles are equal in length. [1840 50] * * * …   Universalium

  • 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… …   The Collaborative International Dictionary of English

  • axis band — 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… …   The Collaborative International Dictionary of English

  • Axis cylinder — 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… …   The Collaborative International Dictionary of English

  • Axis in peritrochio — 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… …   The Collaborative International Dictionary of English

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