Rough Ways Made Smooth: A series of familiar essays on scientific subjectsProctor, Richard A. (Richard Anthony)
Science
Rough Ways Made Smooth: A series of familiar essays on scientific subjects
Proctor, Richard A. (Richard Anthony)
Science
Anything like a full explanation of the way in which transits of Venus
across the sun's face are utilised in the solution of the problem of
determining the sun's distance would be out of place in these pages.
But perhaps the following illustration may serve sufficiently, yet
simply, to indicate the qualities of the two leading methods of using
a transit. Imagine a bird flying in a circle round a distant globe
in such a way that, as seen from a certain window (a circular window
suppose), the bird will seem to cross the face of the globe once in
each circuit. Suppose that though the distance of the globe is not
known, the window is known to be exactly half as far again from the
globe as the bird's path is, and that the window is exactly a yard
in diameter. Now in the first place, suppose two observers watch the
bird, one (A) from the extreme right side, and the other (B) from the
extreme left side of the window, the bird flying across from right
to left. A sees the bird begin to cross the face of the globe before
B does,--say they find that A sees this exactly one second before B
does. But A's eye and B's being 3 feet apart, and the bird two-thirds
as far from the globe as the window is, the line traversed by the bird
in this interval is of course only 2 feet in length. The bird then
flies 2 feet in a second (this is rather slow for a bird, but the
principle of the explanation is not affected on that account). Say it
is further observed that he completes a circuit in exactly ten minutes
or six hundred seconds. Thus the entire length of a circuit is 1,200
feet,--whence by the well-known relation between the circumference and
the diameter of a circle, it follows that the diameter of the bird's
path is about 382 feet, and his distance from the centre of the globe
191 feet. So that the distance of the globe from the window, known to
be half as great again, is about 286-1/2 feet.
Public-domain text, read in full here on John Shaqi.
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