Definition of Rectilinear coordinates. Meaning of Rectilinear coordinates. Synonyms of Rectilinear coordinates

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Definition of Rectilinear coordinates

Rectilinear coordinates
Note: Co["o]rdinates are of several kinds, consisting in some of the different cases, of the following elements, namely: (a) (Geom. of Two Dimensions) The abscissa and ordinate of any point, taken together; as the abscissa PY and ordinate PX of the point P (Fig. 2, referred to the co["o]rdinate axes AY and AX. (b) Any radius vector PA (Fig. 1), together with its angle of inclination to a fixed line, APX, by which any point A in the same plane is referred to that fixed line, and a fixed point in it, called the pole, P. (c) (Geom. of Three Dimensions) Any three lines, or distances, PB, PC, PD (Fig. 3), taken parallel to three co["o]rdinate axes, AX, AY, AZ, and measured from the corresponding co["o]rdinate fixed planes, YAZ, XAZ, XAY, to any point in space, P, whose position is thereby determined with respect to these planes and axes. (d) A radius vector, the angle which it makes with a fixed plane, and the angle which its projection on the plane makes with a fixed line line in the plane, by which means any point in space at the free extremity of the radius vector is referred to that fixed plane and fixed line, and a fixed point in that line, the pole of the radius vector. Cartesian co["o]rdinates. See under Cartesian. Geographical co["o]rdinates, the latitude and longitude of a place, by which its relative situation on the globe is known. The height of the above the sea level constitutes a third co["o]rdinate. Polar co["o]rdinates, co["o]rdinates made up of a radius vector and its angle of inclination to another line, or a line and plane; as those defined in (b) and (d) above. Rectangular co["o]rdinates, co["o]rdinates the axes of which intersect at right angles. Rectilinear co["o]rdinates, co["o]rdinates made up of right lines. Those defined in (a) and (c) above are called also Cartesian co["o]rdinates. Trigonometrical or Spherical co["o]rdinates, elements of reference, by means of which the position of a point on the surface of a sphere may be determined with respect to two great circles of the sphere. Trilinear co["o]rdinates, co["o]rdinates of a point in a plane, consisting of the three ratios which the three distances of the point from three fixed lines have one to another.

Meaning of Rectilinear coordinates from wikipedia

- another definition is preferable: a rectilinear polygon is a polygon with sides parallel to the axes of Cartesian coordinates. The distinction becomes crucial...
- The rectilinear Steiner tree problem, minimum rectilinear Steiner tree problem (MRST), or rectilinear Steiner minimum tree problem (RSMT) is a variant...
- the mapping from indexes to vertex coordinates is less uniform than in a regular grid. An example of a rectilinear grid that is not regular appears on...
- Cartesian coordinates arbitrarily used rectilinear coordinates. Gauss, inspired by Descartes' work, introduced the curved geometry, replacing rectilinear axis...
- its Euclidean length. The taxicab distance is also sometimes known as rectilinear distance or L1 distance (see Lp space). This geometry has been used in...
- screen, or the rectilinear image produced by a pinhole camera on a flat film plate. Rather, any mathematical function that transforms coordinates from the curved...
- A gnomonic projection, also known as a central projection or rectilinear projection, is a perspective projection of a sphere, with center of projection...
- x} , y {\displaystyle y} , and z {\displaystyle z} are the Cartesian coordinates and x ^ {\displaystyle {\hat {\mathbf {x} }}} , y ^ {\displaystyle {\hat...
- the coordinates are those of a rectilinear inertial frame, so the Christoffel symbols term vanishes, but sometimes when authors use curved coordinates in...
- intersection with K. The orthogonal convex hull is also known as the rectilinear convex hull, or, in two dimensions, the x-y convex hull. The figure shows...