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ent could invent it. Mr. E---- thus stated the difficulty: "In the old steam engine, cold water, you know, is thrown into the cylinder to condense the steam; but in condensing the steam, the cold water at the same time cools the cylinder. Now the cylinder must be heated again, before it can be filled with steam; for till it is heated, it will condense the steam. There is, consequently, a great waste of heat and fuel in the great cylinder. How can you condense the steam without cooling the cylinder?" S----. "Let down a cold tin tube into the cylinder when you want to condense the steam, and draw it up again as soon as the steam is condensed; or, if you could put a _cylinder_ of ice up the great tube." Some of the company next asked, if an horizontal plate of cold metal, made to slide up the inside of the cylinder, would condense the steam. The edges of the plate only would touch the cylinder; the surface of the plate might condense the steam. "But," said Mr. ----"how can you introduce and withdraw it?" C---- (a girl of 12) then said, "I would put a cold vessel to condense the steam at the top of the cylinder." Mr. ----. "So as to touch the cylinder, do you mean?" C----. "No, not so as to touch the cylinder, but at some distance from it." Mr. ----. "Then the cold air would rush into the cylinder whilst the steam was passing from the cylinder to your condenser." C----. "But I would cover in the cold vessel, and I would cover in the passage to it." Mr. ----. "I have the pleasure of informing you, that you have invented part of the great Mr. Watt's improvement on the steam engine. You see how it facilitates invention, to begin by stating the difficulty clearly to the mind. This is what every practical inventor does when he invents in mechanics." L---- (smiling.) "And what _I_ always do in inventing a mathematical demonstration." To the good natured reader we need offer no apology; to the ill natured we dare attempt none, for introducing these detailed views of the first attempts of young invention. They are not exhibited as models, either to do honour to the tutor or his pupils; but simply to show, how the mind may be led from the easiest steps, to what are supposed to be difficult in education. By imagining ourselves to be in the same situation with children, we may guess what things are difficult to them; and if we can recollect the course of our own minds in acquiring knowledge, or in inventing,
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