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A mechanical model for polar curves
European Journal of PhysicsAbstract In this work we discuss the feasibility of the well-known classical polar curves (limaçons, roses and logarithmic spirals), studied in calculus courses, to emerge naturally as trajectories of a mass-spring system, limited to moving along a passing axis that rotates in uniform circular motion with controlled angular velocity ...
L Motta +5 more
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Curve sketching in polar coordinates
1983Open image in new window Fig. 3.1 In Fig. 3.1(a), the position of the point P is given by the position vector \( \overrightarrow {OP} \) or by the cartesian coordinates (x, y), where ON = x, NP = y, with the normal sign convention applying when P takes positions in the other quadrants defined by the axes Ox and Oy. The point P may also be given
H. M. Kenwood, C. Plumpton
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On rapid sketching of polar curves
The Mathematics Teacher, 1957Here is an interesting technique whereby polar curves are drawn with the aid of an r-θ rectangular co-ordinate sketch.
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The polar moment of inertia of the enveloping curve
2008The polar moment of inertia of the enveloping curve of a line under one-parameter closed homothetic motions is investigated.
Kuruoğlu, Nuri +2 more
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PSSA: Polar Coordinate Salp Swarm Algorithm for Curve Design Problems
Neural Processing Letters, 2020Yongquan Zhou +2 more
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