How To Use Cycloid In A Sentence
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The fine-grained assemblage is dominated by tabular, low-density elements, such as cycloid scales and fish vertebrae.
Archive 2008-04-01
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But if you mark a point B on the circumference of the flange of a locomotive-wheel, the curve will be a curtate cycloid, as in Fig. 2, terminating in nodes.
Amusements in Mathematics
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Cycloid Fish Scale - The primary types of fish scales include placoid, cosmoid, ganoid, ctenoid, and cycloid scales.
Undefined
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The paper theoretically analyzes the non-chain drawing mechanism with involute cycloidal compound tooth in a coal machine and researches the photoelastic test.
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To estimate the relative surface area of basal lamina and apertures, we used a line intercept technique with cycloids.
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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.
Rambles at starchamber.com » Blog Archive » Imaginary Law Firms, Part 1: Brannock, Foley, and Freeth
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These are the mathematical models of drawing the pitch curve and the profile of the cycloidal wheel.
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Galileo defended the ‘epicycloids’ of Copernicus, even though Kepler already had presented a much better theory.
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He found the length of an arc of the cycloid using an exhaustion proof based on dissections to reduce the problem to summing segments of chords of a circle which are in geometric progression.
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Viviani determined the tangent to the cycloid but he was not the first to succeed in this.
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The principle of hypocycloidal synchromesh sleeve pocket machining was introduced.
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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.
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The ships are fitted with two independent Voith Schneider 18GH cycloidal propellers, which provide propulsion and steering in cruising and minehunting modes, and two twin tube bow thrusters.
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He also investigated caustic curves and in particular he studied these associated curves of the parabola, the logarithmic spiral and epicycloids around 1692.
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Newton solved it correctly; he showed that the curve was a part of what is termed a cycloid -- that is to say, a curve like that which is described by a point on the rim of a carriage-wheel as the wheel runs along the ground.
Great Astronomers
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Similarly, the vertexes of an hypocycloid are the points on the curve that coincides with an inscribed circle.
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Our arch is a cycloidal arch, inspired by the one in Kahn's Kimbell Museum.
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Thin, translucent, and lacking enamel as well as dentine, these modern structures are known as cycloid and ctenoid scales.
Undefined
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A trochoid refers to any of the cycloid, the curtate cycloid and the prolate cycloid.
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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.
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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.
Pioneers of Science
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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.
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External epicycloid, described by a circle rolling about a fixed circle inside of it.
Scientific American, Volume 40, No. 13, March 29, 1879 A Weekly Journal of Practical Information, Art, Science, Mechanics, Chemistry, and Manufactures
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The present invention relates to a hypocycloid gear assembly used in internal combustion engines.
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A cycloid is a curve traced by a point in the circumference of a wheel when the wheel is rolled along in a straight line.
II. Osteology. 6c. 3. The Femur
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His last work was on the cycloid, the curve traced by a point on the circumference of a rolling circle.
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Neile's parabola was the first algebraic curve to have its arc length calculated; only the arc lengths of transcendental curves such as the cycloid and the logarithmic spiral had been calculated before this.
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The present invention relates to a hypocycloid engine assembly which may be used in internal combustion engines.
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Many famous mathematicians, including Descartes, have worked on a class of curves called cycloids.
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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.
Rambles at starchamber.com » Blog Archive » Imaginary Law Firms, Part 1: Brannock, Foley, and Freeth
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V¹ = v '(1 - 5/4) = - ¼v': the planet wheel, or epicycloidal yoke, then, has the higher speed, so that if it be desired to "gear up," and drive the propeller faster than the engine goes (and this, we believe, was the purpose of the inventor), the pin-wheel must be made the driver; which is the reverse of advantageous in respect to the relative amounts of approaching and receding action.
Scientific American Supplement, No. 470, January 3, 1885
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Desargues proposed cycloidal teeth for gear wheels in the 1630's.
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Alien eggplants, they deign epicycloid arcs aimlessly spaced on a fragmented landscape of trap stone and tar, terra cotta chimney caps and aluminum antennae.
Silver Spring to Phoenix
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However, cladistic analysis indicates that the Cycloidea possibly belong within the Crustacea as a sister group of the Copepoda.
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Wrasses characteristically have a protractile mouth, cycloid scales, and a single continuous dorsal fin lacking an obvious notch between the soft and spiny portions.
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A trochoid curve is very similar to a cycloid curve.
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He also worked on cycloidal pendulums, the laws of resistance in a fluid and differential geometry.
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The scales may be cycloid, ctenoid, or absent and the lateral line is absent.
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The cycloidal curve might have been made by a Board School child.
The Prophet of Berkeley Square
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The coordinate system is constructed in such a way that each of these particles has a constant radial coordinate throughout its “cycloidal life”.
Arrow of Time FAQ
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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.
Gulliver's Travels
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I tried to follow Agassiz's scheme of division into the order of ctenoids and ganoids, with the result that I found one of my species of side-swimmers had cycloid scales on one side and ctenoid on the other.
Louis Agassiz as a Teacher; illustrative extracts on his method of instruction
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He defines evolutes and involutes of curves and, after giving some elementary properties, finds the evolutes of the cycloid and of the parabola.
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When a cyclist rides a bicycle at night with a small phosphorescent spot attached to the rim of one of the wheels, the path that the spot describes as the bicycle moves is a cycloid.
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Many famous mathematicians, including Descartes, have worked on a class of curves called cycloids.
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The cycloid - shaped gears are used widely in mini - gearing, which reduces gearing and increases its transmission ratio.
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Luca Schieppati's velocipedal epicycloid stationary bike is a mouthful and an eyeful
Core77
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8.13 A Beautiful Curve ∗ One of the most wonderful curves I can think of, and one that had a great in fl uence on me in my youth, is called a cycloid, which is the locus ∗ ∗ of a fi xed point on the circumference of a circle as it rolls, without slipping, along a straight line (Figure 8.8).
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On the basis of these, the general structure of the NC machine tool for synchromesh sleeves is designed with principle of hypocycloidal machining.
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Only the arc lengths of transcendental curves such as the cycloid and the logarithmic spiral had been calculated before this.
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DFW's Sentence The closest conventional analogue I could derive for this figure was a cycloid, L'Hopital's solution to Bernoulli's famous brachistochrone problem, the curve traced by a fixed point on the circumference of a circle rolling along a straight line.
Griffin And Hoxie Mega Feed
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A corollary to this proposition goes further by pointing out that, as the radius of the sphere is increased indefinitely, its surface approaches a plane surface and the law of the hypocycloidal asymptotically approaches Huygens's law of the cycloidal pendulum.
Newton's Philosophiae Naturalis Principia Mathematica
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Both the evolute and involute of a cycloid is an identical cycloid.
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The construction principle and driving principle of cycloid steel ball planetary transmission are analyzed.
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With the aid of a system of tangents of which I first showed him the rule and the method of construction, my artist has obtained the ordinary cycloid, followed by the interior and the exterior epicycloid and, lastly, the same curves both lengthened and shortened.
The Life of the fly; with which are interspersed some chapters of autobiography
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Another is the famous brachistochrone problem in which a ball rolls down a curve a cycloid that gives the minimum time of travel.
Thermodynamics, Again - The Panda's Thumb
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It was also investigated by Steiner in 1856 and is sometimes called Steiner's hypocycloid.
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He found the length of an arc of the cycloid using an exhaustion proof based on dissections to reduce the problem to summing segments of chords of a circle which are in geometric progression.
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Huygens believed that a pendulum swinging in a large are would be more useful at sea and he invented the cycloidal pendulum with this in mind.
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One of the most remarkable characters of the genus _Caecilia_, which it shares with about two-thirds of the known genera of the order, is the presence of thin, cycloid, imbricate scales imbedded in the skin, a character only to be detected by raising the epidermis near the dermal folds, which more or less completely encircle the body.
Encyclopaedia Britannica, 11th Edition, Volume 4, Part 4 "Bulgaria" to "Calgary"
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Cycloid was used to modify the involute tooth profile.
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The house is situated rather low in a very extensive park, near a noble piece of water, over which is a very handsome bridge on 'cycloidal' arches.
The Dukeries
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The brachistochrone is a cycloid, but that cycloid is not the only curve satisfying the equation.
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Cycloid was used to modify the involute tooth profile.
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The illustrations include photographs of lathes and chucks, engravings from 19th century magazines, and plates of cycloidal patterns produced by substituting paper for the material to be turned and a pencil or pen for the cutting tool.
Making Light: Open thread 135
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The cycloidal curves, including the astroid, were discovered by Roemer (1674) in his search for the best form for gear teeth.
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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.
Gulliver's Travels into Several Remote Nations of the World
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Regrav capsules slipped effortlessly through the air above it in strictly maintained traffic streams, long horizontals bands of fast motion winding up into cycloidal junctions that knitted the city together in a pulsing kinetic dance.
The Dreaming Void
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An astroid is a specialized case of the general hypocycloid family of curves.
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Finally, the cycloid is also said to be the brachistochrone (from the Greek brakhistos, or shortest, and khronos, or time) because it is the path of an object falling freely from the fi xed point A to the fi xed point B in the shortest possible time.
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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.
Pioneers of Science
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Do you call that a cycloidal curve?" asked Madame, with a contralto laugh that shook the library.
The Prophet of Berkeley Square
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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.
Rambles at starchamber.com » Blog Archive » Imaginary Law Firms, Part 1: Brannock, Foley, and Freeth
-
He defines evolutes and involutes of curves and, after giving some elementary properties, finds the evolutes of the cycloid and of the parabola.
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He defines evolutes and involutes of curves and, after giving some elementary properties, finds the evolutes of the cycloid and of the parabola.
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He also investigated caustic curves and in particular he studied these associated curves of the parabola, the logarithmic spiral and epicycloids around 1692.
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Cycloid External epicycloid, described by a circle rolling about a fixed circle inside of it.
Scientific American, Volume 22, No. 1, January 1, 1870 A Weekly Journal of Practical Information, Art, Science, Mechanics, Chemistry, and Manufactures.
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If the describing circle is half the diameter of the pitch circle, the hypocycloid is a radial straight line.
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He found the length of an arc of the cycloid using an exhaustion proof based on dissections to reduce the problem to summing segments of chords of a circle which are in geometric progression.
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You will trace the cycloidal curve of the planets -- can you do that?
The Prophet of Berkeley Square
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The nephroid is the epicycloid formed by a circle of radius a rolling externally on a fixed circle of radius 2a.
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Ciclo, above, a modern update to the velocipede-style bicycle that used a hubless "epicycloid" transmission system.
Core77
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These are the epicycloid, the epitrochoid, the hypocycloid and the hypotrochoid and they are traced by a point P on a circle of radius b which rolls round a fixed circle of radius a.
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Actinopterygians may have ganoid, cycloid, or ctenoid scales, or no scales at all in many groups.
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Thin, translucent, and lacking enamel as well as dentine, these modern structures are known as cycloid and ctenoid scales.
Undefined
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Newton recognized this concern and addressed it in Propositions 48 through 52 by extending Huygens's theory of the cycloidal pendulum to cover the hypocycloidal pendulum ” that is, a cycloidal path produced when the generating circle rolls along the inside of a sphere instead of along a flat surface.
Newton's Philosophiae Naturalis Principia Mathematica
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So long as the strongly-armed ganoidal order prevailed in nature, the sharks were furnished with massive crushing teeth; but when the ganoids waned in creation, and the soft-scaled cycloid and ctenoid orders took and amply filled the place which they had left vacant, the well known modern form of sharks 'teeth was introduced, -- a form much rather suited for cutting soft bodies than for crushing hard ones.
The Testimony of the Rocks or, Geology in Its Bearings on the Two Theologies, Natural and Revealed
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Based on compounding cycloid track, a leg mechanism of a bipedal dinosaur was designed.
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This theory-mediated measurement was based on the isochronism [36] of the cycloidal pendulum under uniform gravity directed in parallel lines toward a flat Earth.
Newton's Philosophiae Naturalis Principia Mathematica
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I tried to follow his scheme of division into the order of ctenoids and ganoids, with the result that I found one of my species of side-swimmers had cycloid scales on one side and ctenoid on the other.
