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  2. Tangent - Wikipedia

    en.wikipedia.org/wiki/Tangent

    Tangent to a curve. The red line is tangential to the curve at the point marked by a red dot. Tangent plane to a sphere. In geometry, the tangent line (or simply tangent) to a plane curve at a given point is, intuitively, the straight line that "just touches" the curve at that point.

  3. Track geometry - Wikipedia

    en.wikipedia.org/wiki/Track_geometry

    In track geometry, the horizontal layout involves the layout of three main track types: tangent track (straight line), curved track, and track transition curve (also called transition spiral or spiral) which connects between a tangent and a curved track. Curved track can also be categorized into three types.

  4. Tangent lines to circles - Wikipedia

    en.wikipedia.org/wiki/Tangent_lines_to_circles

    In Euclidean plane geometry, a tangent line to a circle is a line that touches the circle at exactly one point, never entering the circle's interior.Tangent lines to circles form the subject of several theorems, and play an important role in many geometrical constructions and proofs.

  5. Geometric design of roads - Wikipedia

    en.wikipedia.org/wiki/Geometric_design_of_roads

    The alignment is the route of the road, defined as a series of horizontal tangents and curves. The profile is the vertical aspect of the road, including crest and sag curves, and the straight grade lines connecting them. The cross section shows the position and number of vehicle and bicycle lanes and sidewalks, along with their cross slope or ...

  6. Asymptote - Wikipedia

    en.wikipedia.org/wiki/Asymptote

    In projective geometry and related contexts, an asymptote of a curve is a line which is tangent to the curve at a point at infinity. [ 1 ] [ 2 ] The word asymptote is derived from the Greek ἀσύμπτωτος ( asumptōtos ) which means "not falling together", from ἀ priv. + σύν "together" + πτωτ-ός "fallen". [ 3 ]

  7. Line (geometry) - Wikipedia

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

    Tangent to a curve. The red line is tangential to the curve at the point marked by a red dot. In Euclidean geometry, all lines are congruent, meaning that every line can be obtained by moving a specific line.

  8. Vertical and horizontal bundles - Wikipedia

    en.wikipedia.org/wiki/Vertical_and_horizontal...

    Vertical and horizontal subspaces for the Möbius strip. The Möbius strip is a line bundle over the circle, and the circle can be pictured as the middle ring of the strip. . At each point on the strip, the projection map projects it towards the middle ring, and the fiber is perpendicular to the middle ri

  9. Analytic geometry - Wikipedia

    en.wikipedia.org/wiki/Analytic_geometry

    In geometry, the tangent line (or simply tangent) to a plane curve at a given point is the straight line that "just touches" the curve at that point. Informally, it is a line through a pair of infinitely close points on the curve.

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