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Parallel planes are planes in the same three-dimensional space that never meet. Parallel curves are curves that do not touch each other or intersect and keep a fixed minimum distance. In three-dimensional Euclidean space, a line and a plane that do not share a point are also said to be parallel.
Prismatoid with parallel faces A 1 and A 3, midway cross-section A 2, and height h. In geometry, a prismatoid is a polyhedron whose vertices all lie in two parallel planes. Its lateral faces can be trapezoids or triangles. [1] If both planes have the same number of vertices, and the lateral faces are either parallelograms or trapezoids, it is ...
Two distinct planes are either parallel or they intersect in a line. A line is either parallel to a plane, intersects it at a single point, or is contained in the plane. Two distinct lines perpendicular to the same plane must be parallel to each other. Two distinct planes perpendicular to the same line must be parallel to each other.
An anatomical plane is a hypothetical plane used to transect the body, in order to describe the location of structures or the direction of movements. In human and non-human anatomy, three principal planes are used: The sagittal plane or lateral plane (longitudinal, anteroposterior) is a plane parallel to the sagittal suture. It divides the body ...
For example, when α is the ground plane and β is the horizon plane, then the vanishing line of α is the horizon line β ∩ π. To put it simply, the vanishing line of some plane, say α , is obtained by the intersection of the image plane with another plane, say β , parallel to the plane of interest ( α ), passing through the camera center.
This plane cuts the body into halves (assuming bilateral symmetry), [3] passing through midline structures such as the navel and spine. It is one of the planes which, combined with the umbilical plane, defines the four quadrants of the human abdomen. [4] The term parasagittal is used to describe any plane parallel or adjacent to a given ...
The prismatoids are the polyhedron whose vertices lie on two parallel planes and their faces are likely to be trapezoids and triangles. [18] Examples of prismatoids are pyramids , wedges , parallelipipeds , prisms , antiprisms , cupolas , and frustums .
The definitions and results in this section are taken from the 1913 text Plane and Solid Geometry by George A. Wentworth and David Eugene Smith (Wentworth & Smith 1913).. A cylindrical surface is a surface consisting of all the points on all the lines which are parallel to a given line and which pass through a fixed plane curve in a plane not parallel to the given line.