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More technically, the abscissa of a point is the signed measure of its projection on the primary axis. Its absolute value is the distance between the projection and the origin of the axis, and its sign is given by the location on the projection relative to the origin (before: negative; after: positive). Similarly, the ordinate of a point is the ...
Federalist No. 10 is an essay written by James Madison as the tenth of The Federalist Papers, a series of essays initiated by Alexander Hamilton arguing for the ratification of the United States Constitution. It was first published in The Daily Advertiser (New York) on November 22, 1787, under the name "Publius". Federalist No. 10 is among the ...
Direction determination refers to the ways in which a cardinal direction or compass point can be determined in navigation and wayfinding.The most direct method is using a compass (magnetic compass or gyrocompass), but indirect methods exist, based on the Sun path (unaided or by using a watch or sundial), the stars, and satellite navigation.
A three dimensional Cartesian coordinate system, with origin O and axis lines X, Y and Z, oriented as shown by the arrows. The tick marks on the axes are one length unit apart. The black dot shows the point with coordinates x = 2, y = 3, and z = 4, or (2, 3, 4).
The origin of a Cartesian coordinate system. In mathematics, the origin of a Euclidean space is a special point, usually denoted by the letter O, used as a fixed point of reference for the geometry of the surrounding space. In physical problems, the choice of origin is often arbitrary, meaning any choice of origin will ultimately give the same ...
An axis of rotation is set up that is perpendicular to the plane of motion of the particle, and passing through this origin. Then, at the selected moment t, the rate of rotation of the co-rotating frame Ω is made to match the rate of rotation of the particle about this axis, dφ/dt. Next, the terms in the acceleration in the inertial frame are ...
In astronomy, axis mundi is the Latin term for the axis of Earth between the celestial poles. In a geocentric coordinate system, this is the axis of rotation of the celestial sphere. Consequently, in ancient Greco-Roman astronomy, the axis mundi [1] is the axis of rotation of the planetary spheres within the classical geocentric model of the ...
Jaspers introduced the concept of an Axial Age in his book Vom Ursprung und Ziel der Geschichte (The Origin and Goal of History), [7] published in 1949. The simultaneous appearance of thinkers and philosophers in different areas of the world had been remarked by numerous authors since the 18th century, notably by the French Indologist Abraham Hyacinthe Anquetil-Duperron. [8]