Schema for vertical declining dials | Wikipedia audio article
Channel: wikipedia tts
Date: 2019-05-05

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Schema_for_vertical_declining_dials


00:01:15 1 Basic calculation
00:02:51 2 Waugh's method 1973
00:02:57 3 Wigham-Richardson's method
00:05:32 4 Use of Dialing rulers
00:08:13 5 Zarbula method
00:08:50 5.1 Laying out the dial
00:09:31 6 See also
00:11:45 7 References



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SUMMARY
=======
Vertical declining dials are sundials that indicate local apparent time. Vertical south dials are a special case: as are   vertical north, vertical east and vertical west dials. The word declining means that the wall is offset from one of these 4 cardinal points. There are dials that are not vertical, and these are called reclining dials.A sundial schema uses a compass and a straight edge to firstly to derive the essential angles for that latitude, then to use this to draw the hourlines on the dial plate. In modern terminology this would mean that graphical techniques were used to derive 
  
    
      
        sin
        ⁡
        x
      
    
    {\displaystyle \sin x}
   and 
  
    
      
        m
        tan
        ⁡
        y
      
    
    {\displaystyle m\tan y}
   and from it  
  
    
      
        sin
        ⁡
        x
        .
        tan
        ⁡
        y
      
    
    {\displaystyle \sin x.\tan y}
  .