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2. Distance from a point to a line - Wikipedia

   en.wikipedia.org/.../Distance_from_a_point_to_a_line

   The distance (or perpendicular distance) from a point to a line is the shortest distance from a fixed point to any point on a fixed infinite line in Euclidean geometry. It is the length of the line segment which joins the point to the line and is perpendicular to the line. The formula for calculating it can be derived and expressed in several ways.

3. Affine geometry - Wikipedia

   en.wikipedia.org/wiki/Affine_geometry

   The full axiom system proposed has point, line, and line containing point as primitive notions: Two points are contained in just one line. For any line L and any point P, not on L, there is just one line containing P and not containing any point of L. This line is said to be parallel to L. Every line contains at least two points.

4. Intersection (geometry) - Wikipedia

   en.wikipedia.org/wiki/Intersection_(geometry)

   In geometry, an intersection is a point, line, or curve common to two or more objects (such as lines, curves, planes, and surfaces). The simplest case in Euclidean geometry is the line–line intersection between two distinct lines, which either is one point (sometimes called a vertex) or does not exist (if the lines are parallel). Other types ...

5. Mohr–Mascheroni theorem - Wikipedia

   en.wikipedia.org/wiki/Mohr–Mascheroni_theorem

   Given a line segment AB find a point C on the line AB such that B is the midpoint of line segment AC. [10] Construct point D as the intersection of circles A(B) and B(A). (∆ABD is an equilateral triangle.) Construct point E ≠ A as the intersection of circles D(B) and B(D). (∆DBE is an equilateral triangle.)

6. Intersection - Wikipedia

   en.wikipedia.org/wiki/Intersection

   The intersection (red) of two disks (white and red with black boundaries). The circle (black) intersects the line (purple) in two points (red). The disk (yellow) intersects the line in the line segment between the two red points. The intersection of D and E is shown in grayish purple. The intersection of A with any of B, C, D, or E is the empty ...

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8. AOL Mail - AOL Help

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9. Line–line intersection - Wikipedia

   en.wikipedia.org/wiki/Line–line_intersection

   The intersection point above is for the infinitely long lines defined by the points, rather than the line segments between the points, and can produce an intersection point not contained in either of the two line segments. In order to find the position of the intersection in respect to the line segments, we can define lines L 1 and L 2 in terms ...