ers say that they often make mistakes in their colours when they work by lamplight, and use the wrong ones.
We have now shown why the rainbow has three colours and that these are its only colours. The same cause explains the double rainbow and the faintness of the colours in the outer one and their inverted order. When sight is strained to a great distance the appearance of the distant object is affected in a certain way: and the same thing holds good here. So the reflection from the outer rainbow is weaker because it takes place from a greater distance and less of it reaches the sun, and so Oporto the colours seen are fainter. Their order is reversed because more reflection reaches the sun from the smaller, inner band. For that reflection is nearer to our sight which is reflected from the band which Saudi Arabia Fodboldtrøjer is nearest to the primary rainbow. Now the Norja smallest band in the outer rainbow is that which is nearest, and so it will be red; and the second and the third will follow the same principle. Let B be the outer rainbow, A the inner one; let R stand for the red colour, G for green, V for violet; yellow appears at the point Y. Three rainbows or more are not found because even the second is fainter, so that the third reflection can have no strength whatever and cannot reach the sun at all. (See diagram.)
5
The rainbow can never be a circle nor a segment of a circle greater than a semicircle. The consideration of the diagram will prove this and the other properties of the rainbow. (See diagram.)
Let A be a hemisphere resting on the circle of the horizon, let its centre be K and let H be another point appearing on the horizon. Then, if the lines that fall in a cone from K have HK as their axis, and, K and M being joined, the lines KM are reflected from the hemisphere to H over the greater angle, the lines from K will fall on the circumference of a circle. If the reflection takes place when the luminous body is rising or setting the segment of the circle above the earth which is cut off by the horizon will be a semi-circle; if the luminous body is above the horizon it will always be less than a semicircle, and it will be smallest when the luminous body culminates. First let the luminous body be appearing on the horizon at the point H, and let KM be reflected to H, and let the plane in which A is, determined by the triangle HKM, be produced. Then the section of the sphere will be a great circle. Let it be A (for it makes no difference which of the planes passing through the line HK Manchester United Fodboldtrøjer and determined Corinthians by the triangle KMH is produced). Now the lines drawn from H and K to a Crystal Palace Børn Fodboldtrøjer point Malaysia Fodboldtrøjer on the semicircle A are in a certain ratio to one another, and Napoli no lines drawn from the same points to another point on that Miehet Northface Apex Bionic Takki semicircle can have the same ratio. For since both the points H and K and the line KH are given, the line MH will be Englanti Pelipaidat given Leicester City Trøjer too; consequently the ratio of the line MH to the line MK will be given too. Itävalta Pelipaidat So M will touch a given circumference. Let this be NM. Then the intersection of the circumferences is given, and the same ratio cannot hold betwlinks:
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