Cycloidal

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. ❋ Murray Gilchrist (1892)

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. ❋ Smith, George (2007)

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. ❋ Unknown (2010)

The coordinate system is constructed in such a way that each of these particles has a constant radial coordinate throughout its “cycloidal life”. ❋ Sean (2007)

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. ❋ Smith, George (2007)

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. ❋ Smith, George (2007)

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. ❋ Hamilton, Peter F. (2007)

"Do you call that a cycloidal curve?" asked Madame, with a contralto laugh that shook the library. ❋ Robert Smythe Hichens (1907)

The cycloidal curve might have been made by a Board School child. ❋ Robert Smythe Hichens (1907)

"You will trace the cycloidal curve of the planets -- can you do that?" ❋ Robert Smythe Hichens (1907)

When he first brought me a bird, I told him that it was wrong, and tried to convince him, while he was eating it, that he was doing wrong; for he is a reasonable cat, and understands pretty much everything except the binomial theorem and the time down the cycloidal arc. ❋ Various (1900)

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. ❋ Oliver Lodge (1895)

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. ' ❋ Boswell, James, 1740-1795 (1887)

Let us suppose that in tracing its cycloidal curves through the unthinkable reaches of space traversed by the solar system our planet should pass through a "belt" of attenuated matter having the property of dementing us! ❋ Ambrose Bierce (1878)

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. ❋ Smiles, Samuel, 1812-1904 (1863)

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. ❋ John Ruskin (1859)

Solomon described the cycloidal course of the wind, and recorded it in ❋ Robert Patterson (1857)