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Encyclopedia > Euler's rotation theorem

In mathematics, Euler's rotation theorem states that any rotation has an axis. Main article: History of mathematics The evolution of mathematics can be seen to be an ever increasing series of abstractions. ... Rotation is the movement of a body in such a way that the distance between a certain fixed point and any given point of that body remains constant. ... The word axis has several meanings: In geometry, it may refer to: An axis of rotation A coordinate axis An axis of symmetry In anatomy, the axis is the second cervical vertebra. ...

Thus, a rotation may be described using three degrees of freedom: two to specify the axis (say, latitude and longitude) and one to specify the amount of rotation. The phrase degrees of freedom is used in three different branches of science: in physics and physical chemistry, in mechanical and aerospace engineering, and in statistics. ... Latitude, denoted by the Greek letter φ, gives the location of a place on Earth north or south of the Equator. ... Map of Earth showing curved lines of longitude Longitude, sometimes denoted Î», describes the location of a place on Earth east or west of a north-south line called the Prime Meridian. ...

The theorem is named after Leonhard Euler. Leonhard Euler by Emanuel Handmann Leonhard Euler [oilÉ™r] (April 15, 1707 - September 18, 1783) was a Swiss mathematician and physicist. ...

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