THE KALEIDOSCOPE. 



space B A c', and in the glass A. c, as if it were repeated in the 

 space c A c". But this is not all. The reflection B AC/ becomes 

 an object before the glass A c, and being reflected by it, is repro- 

 duced in the space c" A c"", and the reflection c A c" being reflected 

 by the glass A B, is reproduced in the space c' A c"'. Thus besides 



Fig. 2. 



the view of the objects themselves which are between the glasses, 

 and which would be seen if there were no reflection, the observer 

 will see the four reflections, two c A c" and c" A c"" to the right, 

 and two B A c' and c' A c"' to the left. 



But the reflection c' A c'" is again reflected by the glass A c, 

 and is seen in the space c'" A c"", and at the same time the reflec- 

 tion c" A c"" is reflected in the glass A B, and is also reproduced 

 in the same space c" A c."" Thus it appears that this space c" A c"" 

 receives the reflection of both glasses. 



The observer looking through the eye-hole of the kaleidoscope 

 sees a circle whose apparent diameter c c'" is twice AC the breadth 

 of the reflector. This circle is divided into six angular spaces, two 

 of which are the first reflections, and other two the second reflections 

 of the inclined glasses. The other two consist of the actual space 

 included between the glasses, and a similar space opposite to it 

 which receives at once the third reflection of both glasses. 



Since looking-glasses never reflect all the light incident 

 206 



lent upon 



