A Cartesian coordinate surface in this space is a coordinate plane for example z = 0 defines the x- y plane. Well-known examples of curvilinear coordinate systems in three-dimensional Euclidean space ( R 3) are cylindrical and spherical coordinates. The name curvilinear coordinates, coined by the French mathematician Lamé, derives from the fact that the coordinate surfaces of the curvilinear systems are curved. This means that one can convert a point given in a Cartesian coordinate system to its curvilinear coordinates and back. These coordinates may be derived from a set of Cartesian coordinates by using a transformation that is locally invertible (a one-to-one map) at each point. In geometry, curvilinear coordinates are a coordinate system for Euclidean space in which the coordinate lines may be curved. Curvilinear (top), affine (right), and Cartesian (left) coordinates in two-dimensional space Then, as this sum or difference is to the abscissa, so is the conjugate to. "To or from the semi-conjugate, according as the greater or less abscissa is. Engineers' and Mechanics' Pocket-book by Charles Haynes Haswell (1844) "The projections of OP are also called coordinates of the point P : and theĬoordinates are distinguished by the names abscissa and ordinate."Ħ. Trigonometry and Double Algebra by Augustus De Morgan (1849) Rn.E.- As either abscissa is lo square of its ordinal*. "When the other Ordinate and abscissae, or other abscissa and Ordinales are given. Mechanics' and Engineers' Pocket-book of Tables, Rules, and Formulas by Charles Haynes Haswell (1920) The abscissa OM and the ordinate MP are together called the coordinates of. "The lines of the figure are named as follows : OM is called the abscissa of. Plane and Spherical Trigonometry by Leonard Magruder Passano (1918) The ordinate of a point are called the coordinates of the point."ģ. "Thus, the abscissa of Pj is OB¡, the ordinate of Pt is OA\. New School Algebra by George Albert Wentworth (1898) Number x is called the abscissa of P with respect to the origin 0. Let 0 be a fixed point on a line X'OX and P. An Elementary Treatise on the Calculus: With Illustrations from Geometry by George Alexander Gibson (1901) Lexicographical Neighbors of Abscissa abscindedīelow you will find example usage of this term as found in modern and/or classical literature:ġ. OX or PY is the abscissa of the point P of the curve, OY or PX its ordinate, the intersecting lines OX and OY being the axes of abscissas and ordinates respectively, and the point O their origin. Abscissas and ordinates taken together are called coordinates. When a point in space is referred to three axes having a common intersection, the abscissa may be the distance measured parallel to either of them, from the point to the plane of the other two axes. When referred to two intersecting axes, one of them called the axis of abscissas, or of X, and the other the axis of ordinates, or of Y, the abscissa of the point is the distance cut off from the axis of X by a line drawn through it and parallel to the axis of Y. One of the elements of reference by which a point, as of a curve, is referred to a system of fixed rectilineal coordinate axes. The abscissa is also known as the "x" coordinate of a point, shown on the horizontal line, with the ordinate, also known as the "y" coordinate, shown on the vertical line. (context: geometry) The first of the two terms by which a point is referred to, in a system of fixed rectilinear coordinate (Cartesian coordinate) axes. One of the elements of reference by which a point, as of a curve, is referred to a system of fixed rectilineal coördinate axes.ġ.
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