The teacher was teaching us about epicycloids in our Trigonometry class. From LearnThat.org.
Noun : x. From Dictionary.com.
Ciclo, above, a modern update to the velocipede-style bicycle that used a hubless "epicycloid" transmission system. From Wordnik.com. [Core77] Reference
External epicycloid, described by a circle rolling about a fixed circle inside of it. From Wordnik.com. [Scientific American, Volume 40, No. 13, March 29, 1879 A Weekly Journal of Practical Information, Art, Science, Mechanics, Chemistry, and Manufactures] Reference
Cycloid External epicycloid, described by a circle rolling about a fixed circle inside of it. From Wordnik.com. [Scientific American, Volume 22, No. 1, January 1, 1870 A Weekly Journal of Practical Information, Art, Science, Mechanics, Chemistry, and Manufactures.] Reference
Luca Schieppati's velocipedal epicycloid stationary bike is a mouthful and an eyeful. From Wordnik.com. [Core77] Reference
You know the ordinary nephroid as the reflected catacaustic of a circle, the involute of Caley’s sextic, and a generally good-natured two-cusped epicycloid. From Wordnik.com. [Rambles at starchamber.com » Blog Archive » Imaginary Law Firms, Part 1: Brannock, Foley, and Freeth] Reference
A curve described in space by a point of a circle or sphere, which itself is carried along at the same time, is some kind of cycloid; if the centre of the tracing circle travels along a straight line, we get the ordinary cycloid, the curve traced in air by a nail on a coach-wheel; but if the centre of the tracing circle be carried round another circle the curve described is called an epicycloid. From Wordnik.com. [Pioneers of Science] Reference
A coming into view. epicycloid n. From Wordnik.com. [Recently Uploaded Slideshows] Reference
Internal epicycloid. From Wordnik.com. [Scientific American, Volume 22, No. 1, January 1, 1870 A Weekly Journal of Practical Information, Art, Science, Mechanics, Chemistry, and Manufactures.] Reference
Involute, cycloid, and epicycloid. From Wordnik.com. [Scientific American, Volume 40, No. 13, March 29, 1879 A Weekly Journal of Practical Information, Art, Science, Mechanics, Chemistry, and Manufactures] Reference
Take in succession as radii the chords A 1, A 2, A 3, etc., of the describing circle, and with centres 1, 2, 3, etc., on the base circle, strike arcs either externally or internally, as shown respectively on the right and left; the curve tangent to the external arcs is the epicycloid, that tangent to the internal ones the hypocycloid, forming the face and flank of a tooth for the base circle. From Wordnik.com. [Mechanical Drawing Self-Taught] Reference
Should the junction of two of these arcs fall within the breadth of a tooth, as at D, evidently both the face and the flank on one side of that tooth will be different from those on the other side; should the junction coincide with the edge of a tooth, which is very nearly the case at F, then the face on that side will be the epicycloid belonging to one of the arcs, its flank a hypocycloid belonging to the other; and it is possible that either the face or the flank on one side should be generated by the rolling of the describing circle partly on one arc, partly on the one adjacent, which, upon a large scale, and where the best results are aimed at, may make a sensible change in the form of the curve. From Wordnik.com. [Mechanical Drawing Self-Taught] Reference
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