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3 definitions found
 for Conic Sections
From The Collaborative International Dictionary of English v.0.48 :

  Section \Sec"tion\, n. [L. sectio, fr. secare, sectum, to cut;
     akin to E. saw a cutting instrument: cf. F. section. See
     Saw, and cf. Scion, Dissect, Insect, Secant,
     Segment.]
     1. The act of cutting, or separation by cutting; as, the
        section of bodies.
        [1913 Webster]
  
     2. A part separated from something; a division; a portion; a
        slice. Specifically: 
        [1913 Webster]
        (a) A distinct part or portion of a book or writing; a
            subdivision of a chapter; the division of a law or
            other writing; a paragraph; an article; hence, the
            character [sect], often used to denote such a
            division.
            [1913 Webster]
  
                  It is hardly possible to give a distinct view of
                  his several arguments in distinct sections.
                                                    --Locke.
            [1913 Webster]
        (b) A distinct part of a country or people, community,
            class, or the like; a part of a territory separated by
            geographical lines, or of a people considered as
            distinct.
            [1913 Webster]
  
                  The extreme section of one class consists of
                  bigoted dotards, the extreme section of the
                  other consists of shallow and reckless empirics.
                                                    --Macaulay.
            [1913 Webster]
        (c) One of the portions, of one square mile each, into
            which the public lands of the United States are
            divided; one thirty-sixth part of a township. These
            sections are subdivided into quarter sections for sale
            under the homestead and preemption laws.
            [1913 Webster]
  
     3. (Geom.) The figure made up of all the points common to a
        superficies and a solid which meet, or to two superficies
        which meet, or to two lines which meet. In the first case
        the section is a superficies, in the second a line, and in
        the third a point.
        [1913 Webster]
  
     4. (Nat. Hist.) A division of a genus; a group of species
        separated by some distinction from others of the same
        genus; -- often indicated by the sign [sect].
        [1913 Webster]
  
     5. (Mus.) A part of a musical period, composed of one or more
        phrases. See Phrase.
        [1913 Webster]
  
     6. The description or representation of anything as it would
        appear if cut through by any intersecting plane; depiction
        of what is beyond a plane passing through, or supposed to
        pass through, an object, as a building, a machine, a
        succession of strata; profile.
        [1913 Webster]
  
     Note: In mechanical drawing, as in these Illustrations of a
           cannon, a longitudinal section (a) usually represents
           the object as cut through its center lengthwise and
           vertically; a cross or transverse section (b), as cut
           crosswise and vertically; and a horizontal section (c),
           as cut through its center horizontally. Oblique
           sections are made at various angles. In architecture, a
           vertical section is a drawing showing the interior, the
           thickness of the walls, etc., as if made on a vertical
           plane passed through a building.
           [1913 Webster]
  
     Angular sections (Math.), a branch of analysis which treats
        of the relations of sines, tangents, etc., of arcs to the
        sines, tangents, etc., of their multiples or of their
        parts. [R.]
  
     Conic sections. (Geom.) See under Conic.
  
     Section liner (Drawing), an instrument to aid in drawing a
        series of equidistant parallel lines, -- used in
        representing sections.
  
     Thin section, a section or slice, as of mineral, animal, or
        vegetable substance, thin enough to be transparent, and
        used for study under the microscope.
        [1913 Webster]
  
     Syn: Part; portion; division.
  
     Usage: Section, Part. The English more commonly apply the
            word section to a part or portion of a body of men;
            as, a section of the clergy, a small section of the
            Whigs, etc. In the United States this use is less
            common, but another use, unknown or but little known
            in England, is very frequent, as in the phrases "the
            eastern section of our country," etc., the same sense
            being also given to the adjective sectional; as,
            sectional feelings, interests, etc.
            [1913 Webster]

From The Collaborative International Dictionary of English v.0.48 :

  Mathematics \Math`e*mat"ics\, n. [F. math['e]matiques, pl., L.
     mathematica, sing., Gr. ? (sc. ?) science. See Mathematic,
     and -ics.]
     That science, or class of sciences, which treats of the exact
     relations existing between quantities or magnitudes, and of
     the methods by which, in accordance with these relations,
     quantities sought are deducible from other quantities known
     or supposed; the science of spatial and quantitative
     relations.
     [1913 Webster]
  
     Note: Mathematics embraces three departments, namely: 1.
           Arithmetic. 2. Geometry, including Trigonometry
           and Conic Sections. 3. Analysis, in which letters
           are used, including Algebra, Analytical Geometry,
           and Calculus. Each of these divisions is divided into
           pure or abstract, which considers magnitude or quantity
           abstractly, without relation to matter; and mixed or
           applied, which treats of magnitude as subsisting in
           material bodies, and is consequently interwoven with
           physical considerations.
           [1913 Webster]

From The Collaborative International Dictionary of English v.0.48 :

  Conic \Con"ic\, Conical \Con"ic*al\, a. [Gr. ?: cf. F. conique.
     See Cone.]
     1. Having the form of, or resembling, a geometrical cone;
        round and tapering to a point, or gradually lessening in
        circumference; as, a conic or conical figure; a conical
        vessel.
        [1913 Webster]
  
     2. Of or pertaining to a cone; as, conic sections.
        [1913 Webster]
  
     Conic section (Geom.), a curved line formed by the
        intersection of the surface of a right cone and a plane.
        The conic sections are the parabola, ellipse, and
        hyperbola. The right lines and the circle which result
        from certain positions of the plane are sometimes, though
        not generally included.
  
     Conic sections, that branch of geometry which treats of the
        parabola, ellipse, and hyperbola.
  
     Conical pendulum. See Pendulum.
  
     Conical projection, a method of delineating the surface of
        a sphere upon a plane surface as if projected upon the
        surface of a cone; -- much used by makers of maps in
        Europe.
  
     Conical surface (Geom.), a surface described by a right
        line moving along any curve and always passing through a
        fixed point that is not in the plane of that curve.
        [1913 Webster]

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