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2. Line integral - Wikipedia

   en.wikipedia.org/wiki/Line_integral

   A line integral of a scalar field is thus a line integral of a vector field, where the vectors are always tangential to the line of the integration. Line integrals of vector fields are independent of the parametrization r in absolute value, but they do depend on its orientation. Specifically, a reversal in the orientation of the parametrization ...

3. Line segment - Wikipedia

   en.wikipedia.org/wiki/Line_segment

   Equivalently, a line segment is the convex hull of two points. Thus, the line segment can be expressed as a convex combination of the segment's two end points. In geometry, one might define point B to be between two other points A and C, if the distance | AB | added to the distance | BC | is equal to the distance | AC |.

4. List of mathematical shapes - Wikipedia

   en.wikipedia.org/wiki/List_of_mathematical_shapes

   Rhumb line; Spirals. Archimedean spiral; ... 2: ∞ 6: 3 convex 6-polytopes: 0: ... This is a table of all the shapes above. Table of Shapes Section

5. Multiple integral - Wikipedia

   en.wikipedia.org/wiki/Multiple_integral

   Just as the definite integral of a positive function of one variable represents the area of the region between the graph of the function and the x-axis, the double integral of a positive function of two variables represents the volume of the region between the surface defined by the function (on the three-dimensional Cartesian plane where z = f(x, y)) and the plane which contains its domain. [1]

6. Line (geometry) - Wikipedia

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

   Thus in differential geometry, a line may be interpreted as a geodesic (shortest path between points), while in some projective geometries, a line is a 2-dimensional vector space (all linear combinations of two independent vectors). This flexibility also extends beyond mathematics and, for example, permits physicists to think of the path of a ...

7. 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 ...