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parts。 Hence in itself it is a sign of rain�察�but if it fades away��
of fine weather�察�if it is broken up�察�of wind。 For if it does not
fade away and is not broken up but is allowed to attain its normal
state�察�it is naturally a sign of rain since it shows that a process of
condensation is proceeding which must�察�when it is carried to an end��
result in rain。 For the same reason these haloes are the darkest。 It
is a sign of wind when it is broken up because its breaking up is
due to a wind which exists there but has not reached us。 This view
finds support in the fact that the wind blows from the quarter in
which the main division appears in the halo。 Its fading away is a sign
of fine weather because if the air is not yet in a state to get the
better of the heat it contains and proceed to condense into water��
this shows that the moist vapour has not yet separated from the dry
and firelike exhalation�此�and this is the cause of fine weather。
So much for the atmospheric conditions under which the reflection
takes place。 The reflection is from the mist that forms round the
sun or the moon�察�and that is why the halo is not seen opposite the sun
like the rainbow。
Since the reflection takes place in the same way from every point
the result is necessarily a circle or a segment of a circle�此�for if
the lines start from the same point and end at the same point and
are equal�察�the points where they form an angle will always lie on a
circle。
Let AGB and AZB and ADB be lines each of which goes from the point A
to the point B and forms an angle。 Let the lines AG�察�AZ�察�AD be equal
and those at B�察�GB�察�ZB�察�DB equal too。 ��See diagram。��
Draw the line AEB。 Then the triangles are equal�察�for their base
AEB is equal。 Draw perpendiculars to AEB from the angles�察�GE from G��
ZE from Z�察�DE from D。 Then these perpendiculars are equal�察�being in
equal triangles。 And they are all in one plane�察�being all at right
angles to AEB and meeting at a single point E。 So if you draw the line
it will be a circle and E its centre。 Now B is the sun�察�A the eye�察�and
the circumference passing through the points GZD the cloud from
which the line of sight is reflected to the sun。
The mirrors must be thought of as contiguous�此�each of them is too
small to be visible�察�but their contiguity makes the whole made up of
them all to seem one。 The bright band is the sun�察�which is seen as a
circle�察�appearing successively in each of the mirrors as a point
indivisible to sense。 The band of cloud next to it is black�察�its
colour being intensified by contrast with the brightness of the
halo。 The halo is formed rather near the earth because that is calmer��
for where there is wind it is clear that no halo can maintain its
position。
Haloes are commoner round the moon because the greater heat of the
sun dissolves the condensations of the air more rapidly。
Haloes are formed round stars for the same reasons�察�but they are not
prognostic in the same way because the condensation they imply is so
insignificant as to be barren。
4
We have already stated that the rainbow is a reflection�此�we have now
to explain what sort of reflection it is�察�to describe its various
concomitants�察�and to assign their causes。
Sight is reflected from all smooth surfaces�察�such as are air and
water among others。 Air must be condensed if it is to act as a mirror��
though it often gives a reflection even uncondensed when the sight
is weak。 Such was the case of a man whose sight was faint and
indistinct。 He always saw an image in front of him and facing him as
he walked。 This was because his sight was reflected back to him。 Its
morbid condition made it so weak and delicate that the air close by
acted as a mirror�察�just as distant and condensed air normally does��
and his sight could not push it back。 So promontories in the sea
'loom' when there is a south´east wind�察�and everything seems bigger��
and in a mist�察�too�察�things seem bigger�此�so�察�too�察�the sun and the stars
seem bigger when rising and setting than on the meridian。 But things
are best reflected from water�察�and even in process of formation it
is a better mirror than air�察�for each of the particles�察�the union of
which constitutes a raindrop�察�is necessarily a better mirror than
mist。 Now it is obvious and has already been stated that a mirror of
this kind renders the colour of an object only�察�but not its shape。
Hence it follows that when it is on the point of raining and the air
in the clouds is in process of forming into raindrops but the rain
is not yet actually there�察�if the sun is opposite�察�or any other object
bright enough to make the cloud a mirror and cause the sight to be
reflected to the object then the reflection must render the colour
of the object without its shape。 Since each of the mirrors is so small
as to be invisible and what we see is the continuous magnitude made up
of them all�察�the reflection necessarily gives us a continuous
magnitude made up of one colour�察�each of the mirrors contributing
the same colour to the whole。 We may deduce that since these
conditions are realizable there will be an appearance due to
reflection whenever the sun and the cloud are related in the way
described and we are between them。 But these are just the conditions
under which the rainbow appears。 So it is clear that the rainbow is
a reflection of sight to the sun。
So the rainbow always appears opposite the sun whereas the halo is
round it。 They are both reflections�察�but the rainbow is
distinguished by the variety of its colours。 The reflection in the one
case is from water which is dark and from a distance�察�in the other
from air which is nearer and lighter in colour。 White light through
a dark medium or on a dark surface ��it makes no difference�� looks red。
We know how red the flame of green wood is�此�this is because so much
smoke is mixed with the bright white firelight�此�so�察�too�察�the sun
appears red through smoke and mist。 That is why in the rainbow
reflection the outer circumference is red ��the reflection being from
small particles of water���察�but not in the case of the halo。 The
other colours shall be explained later。 Again�察�a condensation of
this kind cannot persist in the neighbourhood of the sun�此�it must
either turn to rain or be dissolved�察�but opposite to the sun there
is an interval during which the water is formed。 If there were not
this distinction haloes would be coloured like the rainbow。 Actually
no complete or circular halo presents this colour�察�only small and
fragmentary appearances called 'rods'。 But if a haze due to water or
any other dark substance formed there we should have had�察�as we
maintain�察�a complete rainbow like that which we do find lamps。 A
rainbow appears round these in winter�察�generally with southerly winds。
Persons whose eyes are moist see it most clearly because their sight
is weak and easily reflected。 It is due to the moistness of the air
and the soot which the flame gives off and which mixes with the air
and makes it a mirror�察�and to the blackness which that mirror
derives from the smoky nature of the soot。 The light of the lamp
appears as a circle which is not white but purple。 It shows the
colours of the rainbow�察�but because the sight that is reflected is too
weak and the mirror too dark�察�red is absent。 The rainbow that is
seen when oars are raised out of the sea involves the same relative
positions as that in the sky�察�but its colour is more like that round
the lamps�察�being purple rather than red。 The reflection is from very
small particles continuous with one another�察�and in this case the
particles are fully formed water。 We get a rainbow�察�too�察�if a man
sprinkles fine drops in a room turned to the sun so that the sun is
shining in part of the room and throwing a shadow in the rest。 Then if
one man sprinkles in the room�察�another�察�standing outside�察�sees a
rainbow where the sun's rays cease and make the shadow。 Its nature and
colour is like that from the oars and its cause is the same�察�for the
sprinkling hand corresponds to the oar。
That the colours of the rainbow are those we described and how the
other colours come to appear in it will be clear from the following
considerations。 We must recognize�察�as we have said�察�and lay down��
first�察�that white colour on a black surface or seen through a black
medium gives red�察�second�察�that sight when strained to a distance
becomes weaker and less�察�third�察�that black is in a sort the negation
of sight�此�an object is black because sight fails�察�so everything at a
distance looks blacker�察�because sight does not reach it。 The theory of
these matters belongs to the account of the senses�察�which are the
proper subjects of such an