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2. 99 Points of Intersection - Wikipedia

   en.wikipedia.org/wiki/99_Points_of_Intersection

   The book is organized into three sections. [2] [3] The first section provides introductory material, describing different mathematical situations in which multiple curves might meet, and providing different possible explanations for this phenomenon, including symmetry, geometric transformations, and membership of the curves in a pencil of curves. [4]

3. 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 ).

4. Intersecting chords theorem - Wikipedia

   en.wikipedia.org/wiki/Intersecting_chords_theorem

   In Euclidean geometry, the intersecting chords theorem, or just the chord theorem, is a statement that describes a relation of the four line segments created by two intersecting chords within a circle. It states that the products of the lengths of the line segments on each chord are equal. It is Proposition 35 of Book 3 of Euclid's Elements.

5. Line–line intersection - Wikipedia

   en.wikipedia.org/wiki/Line–line_intersection

   In Euclidean geometry, the intersection of a line and a line can be the empty set, a point, or another line. Distinguishing these cases and finding the intersection have uses, for example, in computer graphics , motion planning , and collision detection .

6. Unit disk graph - Wikipedia

   en.wikipedia.org/wiki/Unit_disk_graph

   In geometric graph theory, a unit disk graph is the intersection graph of a family of unit disks in the Euclidean plane. That is, it is a graph with one vertex for each disk in the family, and with an edge between two vertices whenever the corresponding vertices lie within a unit distance of each other.

7. Miquel's theorem - Wikipedia

   en.wikipedia.org/wiki/Miquel's_theorem

   It is one of several results concerning circles in Euclidean geometry due to Miquel, whose work was published in Liouville's newly founded journal Journal de mathématiques pures et appliquées. Formally, let ABC be a triangle, with arbitrary points A´ , B´ and C´ on sides BC , AC , and AB respectively (or their extensions ).