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Updated: May 17, 2025
"But how much do you know of prismoidal formulae, or logarithmic secants? not to speak of segmental ordinates, or the cycloidal calculus; or even of adiabatic expansion, or torsional resistance, or the hydrostatic paradox, or the coefficient of friction? Now, these things are the very A B C of mechanics, as you'll find to your utter confusion."
'The third picture from the fireplace; I shall not forget. He picked up the books one by one, commenting on them as he lifted them. 'Conic Sections he does not mind, nor Cycloidal Oscillations, nor the Principia, nor Quaternions, nor Thermodynamics. Now for the book that fetched him! Malcolmson took it up and looked at it. As he did so he started, and a sudden pallor overspread his face.
These are called ruling machines, medallion rulers, cycloidal and geometric lathes. Ruling machines are used to make the backgrounds of portraits, the shadings of letters and similar work. Here is a very pretty example of ruling, in the so-called "coin" stamp of New South Wales. These machines rule either straight or curved lines.
He spends his nights, not in social dissipation, but in gathering in rats, mice, flying-squirrels, and also birds. 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.
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! It is a conception easily enough entertained.
"And, allowing for the natural effect of the scorpion and serpent upon one of her venerable age " "Good Heavens!" "When close round her, as they will be but you will observe that for yourself " The Prophet shut his eyes as one who refuses to behold sacrilege. "You will trace the cycloidal curve of the planets can you do that?" The Prophet nodded. "As it affects her birthday, the twentieth.
Many even of the truths of geometry were generalizations from experience before they were deduced from first principles. 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.
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 house is not yet finished, but by its present appearance seems as if it would be magnificent. There are nineteen windows in front, the middle one a bow, with two wings projecting forwards."
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