"Why, in the first place, the clock is not exact. It is near enough to
answer all the purposes of a family; but it may often be a minute or
more out of the way. Then besides, while Jonas is going from the clock
out to the barn, the shadow is slowly moving on, all the time; so that
he cannot tell exactly where the shadow was, when it was precisely
twelve by the clock.
"Then again, it is not always exactly noon when the shadow comes to the
north and south line. It varies a little at different seasons of the
year, though it is so near that we say, in general terms, that at noon
all shadows of upright objects point to the north. Still, it is not
_precisely_ true, except on a very few days in the year. Then, again,
the post of the barn door is not exactly upright."
"I thought they always made door posts exactly upright," said Rollo.
"They do make them as nearly upright as they can, with the common
carpenters' instruments; but they are not _exact_. To set a post of any
kind, with great precision, perpendicular to the horizon, would require
very expensive mathematical instruments, and very laborious and nice
observations. Then, again, if the clock had been exact, and the post
perfectly upright, Jonas could not have marked the place of the shadow
exactly. The shadow has not an exact and well-defined edge; and then,
even while he was marking at one end, the shadow would be moving along
at the other end, and so his noon mark would not be exactly straight."
"Why, father, he could make the mark right along quick."
"No matter how quick he might make it. It would take some time, wouldn't
it?"
"Only a _very little_," said Rollo.
"And do you suppose the sun would stand still, even during that little
time, so as to let the shadow remain stationary?
"However," continued his father, "I don't say this to disparage Jonas's
noon mark. I dare say, it is accurate enough for his purposes. He only
wants to know from it when it is time for him to come in to dinner, or
something like that. I only want you to understand what exactness is,
and to see, a little, how difficult it is to attain to any considerable
degree of it, in such cases. So thus, it seems, that Jonas has got a
sort of a dial?"
"Why, it only tells him what o'clock it is at one hour in the day,"
said Rollo. "But I think he might make it do for all the afternoon and
forenoon."
"How?" inquired his father.
"Why, all he has got to do is to watch some day when it is nine o'clock,
and ten o'clock, and so on, every hour; and then make a line where the
shadow comes every hour, just as he did for twelve o'clock. Then he will
have marks for every hour in the day, and when the shadow comes along to
these marks, one after another, he will know what time it is."
Public-domain text, read in full here on John Shaqi.
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