Curvilinear coordinate systems are a means of describing an object/point's position based on angle and distance from the origin. For example, polar coordinates are Curvilinear coordinates for R2 (2D space). Spherical coordinates are Curvilinear coordinates for R3 (3D space) If you need to know more:
http://en.wikipedia.org/wiki/Curvilinear_coordinates
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equinoctial system of coordinates
Integral coordinates are coordinates that are whole numbers. Integral coordinates cannot be fractional or have decimals. They are used, generally, for gross designations.
The x coordinates are horizontal whereas the y coordinates are vertical on the Cartesian plane.
It is where the x and y coordinates intersect.
The difference in Y -coordinates is also known as the rise.