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.    From Wordnik.com.  [The Dukeries] Reference

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.    From Wordnik.com.  [Newton's Philosophiae Naturalis Principia Mathematica] Reference

The coordinate system is constructed in such a way that each of these particles has a constant radial coordinate throughout its “cycloidal life”.    From Wordnik.com.  [Arrow of Time FAQ] Reference

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.    From Wordnik.com.  [The Dreaming Void]

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.    From Wordnik.com.  [Newton's Philosophiae Naturalis Principia Mathematica] Reference

Well, Figure 8.9 The cycloidal (isochronous) pendulum.    From Wordnik.com.  [Recently Uploaded Slideshows] Reference

The cycloidal pendulum is therefore said to be isochronous.    From Wordnik.com.  [Recently Uploaded Slideshows] Reference

The cycloidal curve might have been made by a Board School child.    From Wordnik.com.  [The Prophet of Berkeley Square] Reference

Solomon described the cycloidal course of the wind, and recorded it in.    From Wordnik.com.  [Fables of Infidelity and Facts of Faith Being an Examination of the Evidences of Infidelity] Reference

"You will trace the cycloidal curve of the planets -- can you do that?".    From Wordnik.com.  [The Prophet of Berkeley Square] Reference

"Do you call that a cycloidal curve?" asked Madame, with a contralto laugh that shook the library.    From Wordnik.com.  [The Prophet of Berkeley Square] Reference

As cadets work on calibrating gauges, Doctor Siegel and his staff are testing the cycloidal turbine.    From Wordnik.com.  [Media Newswire] Reference

First, it turns out that the length of the pendulum is 4r, precisely one-half the length of the full-cycloidal arch.    From Wordnik.com.  [Recently Uploaded Slideshows] Reference

The article was about state-of-the-art wave-powered devices, and caught his attention because his staff had already worked on the cycloidal turbine propeller.    From Wordnik.com.  [Media Newswire] Reference

A cycloidal wave energy converter, based on the type of propellers on ferries and tugboats, is the focus of Doctor Siegel's wave energy converter research project.    From Wordnik.com.  [Media Newswire] Reference

As to lines, the rectilineal are in themselves the lifeless, the determined 'ab extra', but still in immediate union with the cycloidal, which are expressive of function.    From Wordnik.com.  [Literary Remains, Volume 1] Reference

The quadrature of the cycloid is said to have been first effected by measurement, or rather by weighing a cycloidal card, and comparing its weight with that of a piece of similar card of known dimensions.    From Wordnik.com.  [A System Of Logic, Ratiocinative And Inductive (Vol. 1 of 2)] Reference

PLZ ...!!!!! why not cycloidal gears used instead of involute gears in all places.? usually cycloidal gears are being used for watch gears .. why not cycloidal gears can be used in machinaries.????????? en Español.    From Wordnik.com.  [Yahoo! Answers: Latest Questions] Reference

If you describe the motion of a railway train by stating that every point on the rim of each wheel describes a cycloid with reference to the earth, and a circle with reference to the train, and that the motion of the train is compounded of these cycloidal and circular motions, you will not be saying what is false, only what is cumbrous.    From Wordnik.com.  [Pioneers of Science] Reference

We manufacture following products: R series helical geared motors, G series geared motors, WB series cycloidal micro-reducers, RV series worm-gear reducers, MB series variators, F parallel shaft helical geared motors, K helical-bevel geared motors, K helical-bevel geared motors, S helical-worm geared motors, XB series cycloidal reducers.    From Wordnik.com.  [WN.com - Business News] Reference

Most men's eyes are so fixed on the mere swirl of the wheel of their fortunes, and their souls so vexed at the reversed cadences of it when they come, that they forget to ask if the curve they have been carried through on its circumference was circular or cycloidal; whether they have been bound to the ups and downs of a mill-wheel or of a chariot-wheel.    From Wordnik.com.  [On the Old Road Vol. 1 (of 2) A Collection of Miscellaneous Essays and Articles on Art and Literature] Reference

The ingenuity and experience of mechanics working such an instrument enabled them to add many improvements to it; until the skilful artisan at length produced not merely circular turning of the most beautiful and accurate description, but exquisite figure-work, and complicated geometrical designs, depending upon the cycloidal and eccentric movements which were from time to time added to the machine.    From Wordnik.com.  [Industrial Biography, Iron Workers and Tool Makers] Reference

There is no apparent connection between duration and the cycloidal arch, the properties of which duly attended to, have furnished us with our best regulated methods of measuring time: and he who has made himself master of the nature and affections of the logarithmick curve, is not aware that he has advanced considerably towards ascertaining the proportionable density of the air at its various distances from the surface of the earth. '.    From Wordnik.com.  [Life Of Johnson]

His first pendulum clock with cycloidal.    From Wordnik.com.  [TIME AND MEASUREMENT] Reference

As I sat painting, I would see the gray eagle come down, with his long cycloidal swoop, skimming along the surface of the water, and catch, as he passed, the trout that sunned itself on the surface; or the osprey seizing it with his direct plunge into the lake, from which, after a struggle that lasted sometimes a minute, the only sign of his presence being the agitated water, he would emerge with the fish in his claws and sail aloft, hurrying to escape to the forest with his prey lest the eagle, always watching from the upper air, should rob him of his hard-earned booty.    From Wordnik.com.  [The Autobiography of a Journalist, Volume I] Reference

232 and probability, 215-228 angle sum of a triangle, 124-126 think before, 217 Annales del Gergonne, 193-194 crossing the bridges, 253-255 area of a circle, 176-178 cyclic quadrilateral, 184, 188 areas and perimeters, comparison of, 137-139 cycloid, 265-267 arithmetic marvels, 47-78 cycloidal pendulum, 265 arithmetic phenomena, algebra for explanation, 100-101 deceptive border, 208-209 arithmetic shortcuts, 99-100 averages, 74 deceptively dif fi cult, 95-96 most misunderstood, 256-258 decimal system, 1 De Divina Proportione (Fra Luca Pacioli), 158 baseball batting average, 74 de Fermat, Pierre, 24, 236 beautiful curve, 265-267 denominator, rationalizing, 116-117 beautiful number relationships.    From Wordnik.com.  [Recently Uploaded Slideshows] Reference