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Updated: May 25, 2025
It is often necessary to calculate what is known as a "chemical factor," or its equivalent logarithmic value called a "log factor," for the conversion of the weight of a given chemical substance into an equivalent weight of another substance.
Sixty seconds later the Brainchild began her long, logarithmic drop toward the surface of Eisberg. Landing a ship on her jets isn't an easy job, but at least an ion rocket is built for the job. Maybe someday the Translation drive will be modified for planetary landings, but so far such a landing has been, as someone put it, "50 per cent raw energy and 50 per cent prayer."
Temperature differences are logarithmic, you know, not arithmetic the effective difference between his body temperature and ours is perhaps even greater than that between ours and that of melted iron. We never think of iron as being a liquid, you know." "That's right, too. Well, good night, Steve dear."
The direction of AB is the line of apses. The ratio of CS to CA is the excentricity. The angle ASP is the anomaly when the planet is at P. CA or a line drawn from S to D is the mean distance of the planet from the sun. The ruled logarithmic paper we now use was not then to be had by going into a stationer's shop. Else he would have accomplished this in five minutes.
Disdaining all pompous inscription, the learned Syracusan honoured himself with his theorem as his sole epitaph. The geometrical figure proclaimed the individual's name as plainly as would any alphabetical characters. To have done with this part of our subject, here is another property of the logarithmic spiral. Roll the curve along an indefinite straight line.
The Epeira winds nearer and nearer round her pole, so far as her equipment, which, like our own, is defective, will allow her. One would believe her to be thoroughly versed in the laws of the spiral. I will continue to set forth, without explanations, some of the properties of this curious curve. Picture a flexible thread wound round a logarithmic spiral.
"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."
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