Page:The Elements of Euclid for the Use of Schools and Colleges - 1872.djvu/26

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EUCLID'S ELEMENTS.
  1. A plane rectilineal angle is the inclination of two straight lines to one another, which meet together, but are not in the same straight line.

    Note. When several angles are at one point B, any one of them is expressed by three letters, of which the letter which is at the vertex of the angle, that is, at the point at which the straight lines that contain the angle meet one another, is put between the other two letters, and one of these two letters is somewhere on one of those straight lines, and the other letter on the other straight line. Thus, the angle which is contained by the

    straight lines AB, CB is named the angle ABC, or CBA; the angle which is contained by the straight lines AB, DB is named the angle ABD, or DBA; and the angle which is contained by the straight lines DB, CB is named the angle DBC, or CBD; but if there be only one angle at a point, it may be expressed by a letter placed at that point; as the angle at E.
  2. float
    When a straight line standing on another straight line, makes the adjacent angles equal to one another, each of the angles is called a right angle; and the straight line which stands on the other is called a perpendicular to it.
  3. float
    An obtuse angle is that which is greater than a right angle.
  4. float
    An acute angle is that which is less than a right angle.