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  2. Poncelet–Steiner theorem - Wikipedia

    en.wikipedia.org/wiki/Poncelet–Steiner_theorem

    Create two lines (in green), AC and AD, that each pass through the given circle's center. These green lines intersect the given circle at points G and F, respectively. Line FG (in blue) intersects the line m at H, defining the other endpoint of the line segment. Segment EH now exists coincident with line m and having midpoint B.

  3. Radial velocity - Wikipedia

    en.wikipedia.org/wiki/Radial_Velocity

    The radial velocity or line-of-sight velocity of a target with respect to an observer is the rate of change of the vector displacement between the two points. It is formulated as the vector projection of the target-observer relative velocity onto the relative direction or line-of-sight (LOS) connecting the two points.

  4. Tangential speed - Wikipedia

    en.wikipedia.org/wiki/Tangential_speed

    Tangential speed is the speed of an object undergoing circular motion, i.e., moving along a circular path. [1] A point on the outside edge of a merry-go-round or turntable travels a greater distance in one complete rotation than a point nearer the center. Travelling a greater distance in the same time means a greater speed, and so linear speed ...

  5. Circular motion - Wikipedia

    en.wikipedia.org/wiki/Circular_motion

    t. e. In physics, circular motion is a movement of an object along the circumference of a circle or rotation along a circular arc. It can be uniform, with a constant rate of rotation and constant tangential speed, or non-uniform with a changing rate of rotation. The rotation around a fixed axis of a three-dimensional body involves the circular ...

  6. Tangent lines to circles - Wikipedia

    en.wikipedia.org/wiki/Tangent_lines_to_circles

    Using the method above, two lines are drawn from O 2 that are tangent to this new circle. These lines are parallel to the desired tangent lines, because the situation corresponds to shrinking both circles C 1 and C 2 by a constant amount, r 2, which shrinks C 2 to a point. Two radial lines may be drawn from the center O 1 through the tangent ...

  7. Curve fitting - Wikipedia

    en.wikipedia.org/wiki/Curve_fitting

    Curve fitting[ 1 ][ 2 ] is the process of constructing a curve, or mathematical function, that has the best fit to a series of data points, [ 3 ] possibly subject to constraints. [ 4 ][ 5 ] Curve fitting can involve either interpolation, [ 6 ][ 7 ] where an exact fit to the data is required, or smoothing, [ 8 ][ 9 ] in which a "smooth" function ...

  8. Straight-line mechanism - Wikipedia

    en.wikipedia.org/wiki/Straight-line_mechanism

    A straight-line mechanism is a mechanism that converts any type of rotary or angular motion to perfect or near-perfect straight-line motion, or vice versa. Straight-line motion is linear motion of definite length or "stroke", every forward stroke being followed by a return stroke, giving reciprocating motion. The first such mechanism, patented ...

  9. Parametric equation - Wikipedia

    en.wikipedia.org/wiki/Parametric_equation

    Parametric equation. The butterfly curve can be defined by parametric equations of x and y. In mathematics, a parametric equation defines a group of quantities as functions of one or more independent variables called parameters. [ 1 ] Parametric equations are commonly used to express the coordinates of the points that make up a geometric object ...