Definition of Rectangular coordinates. Meaning of Rectangular coordinates. Synonyms of Rectangular coordinates

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Definition of Rectangular coordinates

Rectangular 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 Rectangular coordinates from wikipedia

- York: D. van Nostrand. LCCN 55-10911. Moon P, Spencer DE (1988). "Rectangular Coordinates (x, y, z)". Field Theory Handbook, Including Coordinate Systems...
- l_{\text{NCP}}=122.93314^{\circ }} In some applications use is made of rectangular coordinates based on galactic longitude and latitude and distance. In some...
- a right-hand convention. It may be implemented in spherical or rectangular coordinates. The celestial equator and the ecliptic are slowly moving due to...
- positions of celestial objects. It may be implemented in spherical or rectangular coordinates, both defined by an origin at the centre of Earth, a fundamental...
- (x,y)} be the standard Cartesian coordinates, and ( r , θ ) {\displaystyle (r,\theta )} the standard polar coordinates. x = r cos ⁡ θ y = r sin ⁡ θ ∂ (...
- confused for the geodetic altitude. Conversions between ECEF and geodetic coordinates (latitude and longitude) are discussed at geographic coordinate conversion...
- +b^{2}\sin ^{2}\phi }}},} In contrast, extracting ϕ, λ and h from the rectangular coordinates usually requires iteration as ϕ and h are mutually involved through...
- Sons. p. 657. ISBN 978-1-119-77798-4. Moon P, Spencer DE (1988). "Rectangular Coordinates (x, y, z)". Field Theory Handbook, Including Coordinate Systems...
- component is θ (instead of v2). To differentiate polar coordinates from rectangular coordinates, the angle may be prefixed with the angle symbol, ∠ {\displaystyle...
- celestial sphere into two equal hemispheres along a great circle. Rectangular coordinates, in appropriate units, have the same fundamental (x, y) plane and...