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Concerning a New Method of Tracing Cardioids
First Paragraph: | A cardioid may under certain conditions be traced by a point when its motion is the resultant of a rectilinear simple harmonic movement and a uniform angular one of the same period. The harmonic motion ...
First Paragraph: | The rose, rosette, rosace, Rosenkurve or multifolium, or whatever other name it may have, is a periodic polar curve whose equal sectors may have any angular magnitude. Its general equation, as usually ...
Stereoscopic Harmonic Curves
First Paragraph | All professors of physics are fond of harmonic curves. Many even seem to consider it a duty, as far as their circumstances permit, at one time or another to construct a machine and draw some of these ...
Cuspidal Envelope Rosettes
First Paragraph: | A point P moves in the line segment EG, Fig. 1, with simple harmonic motion of p cycles, while this segment makes q revolutions about A with uniform angular speed. Moritz has exhaustively treated the ...
(Creighton University, 1926)
Harmonic curves always captivate the eye by their wonderful beauty and their endless variety. They have that correct proportion in their parts which delights the artist, that simplicity of construction in their apparent ...
First Paragraph: | One way of drawing a cardioid is to make a pen start in phase 90° from the center of a disk and move along a radius with simple harmonic motion, while the disk revolves with a uniform angular speed of ...