Gleichwohl ist durch vermuthlich ein Wort in den mathematischen Sprachschatz eingeführt worden, welches gerade in der analytischen Geometrie sich als zukunftsreich bewährt hat. In his 1892 work Vorlesungen über die Geschichte der Mathematik (" Lectures on history of mathematics"), volume 2, German historian of mathematics Moritz Cantor writes: Though the word "abscissa" (from Latin linea abscissa 'a line cut off') has been used at least since De Practica Geometrie published in 1220 by Fibonacci (Leonardo of Pisa), its use in its modern sense may be due to Venetian mathematician Stefano degli Angeli in his work Miscellaneum Hyperbolicum, et Parabolicum of 1659.
The ordinate of a point is the signed measure of its projection on the secondary axis, whose absolute value is the distance between the projection and the origin of the axis, and whose sign is given by the location on the projection relative to the origin (before: negative after: positive). The abscissa of a point is the signed measure of its projection on the primary axis, whose absolute value is the distance between the projection and the origin of the axis, and whose sign is given by the location on the projection relative to the origin (before: negative after: positive). ə/ plural abscissae or abscissas) and the ordinate are respectively the first and second coordinate of a point in a Cartesian coordinate system:Ībscissa ≡ x In mathematics, the abscissa ( / æ b ˈ s ɪ s. The distance of a point from the x-axis scaled with the y-axis is called the ordinate or y coordinate of the point.įor example, if (x, y) is an ordered pair in the Cartesian plane, then the first coordinate in the plane (x) is called the abscissa and the second coordinate (y) is the ordinate. The distance of a point from the y-axis, scaled with the x-axis, is called the abscissa or x coordinate of the point. In common usage, the abscissa refers to the ( x) coordinate and the ordinate refers to the ( y) coordinate of a standard two-dimensional graph. The first value in each of these signed ordered pairs is the abscissa of the corresponding point, and the second value is its ordinate. The ordinate however changes from positive to negative when it comes from the second quadrant to third quadrant.Illustration of a Cartesian coordinate plane, showing the absolute values (unsigned dotted line lengths) of the coordinates of the points (2, 3), (0, 0), (–3, 1), and (–1.5, –2.5). In the third quadrant as the point is still on the left – hand side of origin, the abscissa is still negative.
The ordinate however remains positive as it is above the origin. In the second quadrant, point is on the left side of origin making abscissa negative. Now, in the second quadrant abscissa is negative. Because the point on the x – axis is on the right side of the origin making abscissa positive. Every point which is lying in the first quadrant has positive coordinates. Now, in the I quadrant both the x and y coordinate are positive.
Now, abscissa of a point means the x – coordinate of a point. In the quadrant system we take origin as a standard point because it has coordinates (0,0) and behaviour of abscissa and ordinate is determined by the help of origin. In the cartesian plane there are four quadrants.
Hint: In this question we will see all four quadrants and check the behaviour of a point in it.
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