How to determine the numbers of octants

The octants are designated by Roman numbers, starting with one and ending with eight. If you want to properly enumerate each of them, the unit designate the one that lies in the positive region of each of the coordinate axes. In the first octant part of a set of points for which all three coordinates (abscissa, ordinate and applicate) are determined by a number from zero to infinity.

Roman deuce designate the octant, the set of points which have positive coordinates along the axes of ordinate and applicator that con, but negative along the x-axis. The spatial position of the octant is such that it has a common border with the first, third and sixth octants.

The third octant consider the region of space composed of points whose positive only applicate and abscissa and ordinate are in the negative range of values. This spatial area has a common border with the second, fourth and seventh octants.

The Roman Quartet denote the set of points whose coordinates are along the axes of abscissa and applicator that con is positive, and along the y - axis is negative. This area of the coordinate space has a common border with the first to third and eighth octants. All these four steps, the octants have a common property - a positive applicate. According to our usual definitions, we would say that together they represent the height of the coordinate space, and the four subsequent - bottom. But in an orthogonal coordinate system such designations are not used, so you can use them only in order to better represent and correctly remember the numbering of the octants.

The set of points having positive coordinates along the axes of abscissa and ordinate, but negative on the axis of the applicator that con, name of the fifth octant. It has a common border with the first, sixth and eighth octants.

Sixth octant call the region of space lying in the positive values of the y-axis, but negative values areas of the axes of abscissa and applicator that con. This region has a common border with the fifth, seventh and second octants.

If all the coordinates of the points of a certain region of space is negative, then call it the seventh octant. It has common borders with the sixth, eighth and third octants.

Eighth octant name the region of the coordinate space, the set of points which has a positive x coordinate, but a negative ordinate and the applicate. This region has a common border with the fourth, fifth, and seventh octants.