How to use cycloid in a sentence

Looking for sentences and phrases with the word cycloid? Here are some examples.

Sentence Examples A trochoid refers to any of the cycloid, the curtate cycloid and the prolate cycloid. The scales may be cycloid, ctenoid, or absent and the lateral line is absent. Viviani determined the tangent to the cycloid but he was not the first to succeed in this. The brachistochrone is a cycloid, but that cycloid is not the only curve satisfying the equation. His last work was on the cycloid, the curve traced by a point on the circumference of a rolling circle. Actinopterygians may have ganoid, cycloid, or ctenoid scales, or no scales at all in many groups. He defines evolutes and involutes of curves and, after giving some elementary properties, finds the evolutes of the cycloid and of the parabola. He used the involute of a circle in his first pendulum clock in an attempt to force the pendulum to swing in the path of a cycloid. Only the arc lengths of transcendental curves such as the cycloid and the logarithmic spiral had been calculated before this. The prolate cycloid is similar to the simple cycloid except that the curve has no cusps and does not intersect the line. He constructed the first pendulum clock with a device to ensure that the pendulum was isochronous by forcing the pendulum to swing in a cycloid arc. Wrasses characteristically have a protractile mouth, cycloid scales, and a single continuous dorsal fin lacking an obvious notch between the soft and spiny portions. The sizing of a cycloid toothing is facilitated if, during the optimization, the counter wheel is calculated from the first wheel. An inverted cycloid is the brachistochrone, that is the curve between two points in a vertical plane, along which a bead needs the shortest time to travel. Both the evolute and involute of a cycloid is an identical cycloid. Roberval also found the volume of the solid formed by rotating the cycloid about the straight line through its endpoints. The cycloid is defined by two circle arcs with tip and root diameter values. Use this program module to evaluate special gearing, such as cycloid gearing. The entire dial is made of carbon-fibre and includes a large dial opening to admire the intriguing cycloid curve of the train wheels. The cycloid has the property that a particle P sliding on a cycloid will exhibit simple harmonic motion and the period will be independent of the starting point. Show More Sentences Strength and geometrical properties of cycloid gearing can be analyzed via calculation of the path of contact under load and the stress curve and kinematics that are displayed there. Because of the curved, cycloidal profile of the cycloid disc, it progressively engages with the rollers of the ring gear housing to produce a reverse rotation at reduced speed. True bony fish have ctenoid or cycloid scales. Grammicolepidids have dorsoventrally elongate linear scales rather than the cycloid or ctenoid scales of other zeiform families. Results on the cycloid were discovered and rediscovered over the next two decades by Fermat, Descartes, and Blaise Pascal in France, Evangelista Torricelli in Italy, and John Wallis and Christopher Wren in England. Then the observer sees the electron moving on a curve which is a cycloid or trochoid, see Fig. An inverted cycloid with its base horizontal is a tautochrone. The scales are small, rudimentary, cycloid, relatively well embedded below the epidermis and therefore often difficult to see without magnification. Examples from Classical Literature Rather it travels along a cycloid, bending back upon itself, following the movement of man. The distinctions between cycloid and ctenoid scales, between placoid and ganoid fishes, are vague, and can hardly be maintained. There are two principal types of Teleostean scales, the cycloid and ctenoid. The cycloid and ctenoid scales of Teleosteans are thin plates coated with epidermis. The exoskeleton is sometimes absent but generally consists of overlapping cycloid or ctenoid scales. It is impossible to mill out even a convex cycloid or epicycloid, by the means and in the manner above described. A famous period in the history of the cycloid is marked by a bitter controversy which sprang up between Descartes and Roberval. The tail is diphycercal in all, ending in a long point, and the body is covered with cycloid scales. It is not yet known to what philosopher we owe the invention of the cycloid. Pascal is said to have written his treatise on the cycloid from a religious motive. So that it is a kind of cycloid, of which, however, the points can be found geometrically. The cycloid is the simplest member of the class of curves known as roulettes. The mechanical properties of the cycloid were investigated by Christiaan Huygens, who proved the curve to be tautochronous. Body elongate, covered with small cycloid scales situated at right angles along oblique dermal plicae below lateral line. In the first course, there was a shoulder of mutton cut into an equilateral triangle, a piece of beef into a rhomboides, and a pudding into a cycloid. Find more words! 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Words that rhyme with cycloid What is the plural of cycloid? What is the adjective for cycloid? What is the noun for cycloid? Use our Sentence Generator Nearby Words cyclohexanone cyclohexane cyclogenesis cyclocross cycloalkane cycloaddition cycloidal cyclometer cyclone cyclones cyclonic cyclonically 7-letter Words Starting With c cy cyc cycl cyclo cycloi