Alphabetic geometry

Any shape can be represented by a sequence of alphabets taken from a Devanagari script. A square shape can be represented by k,kh, g,gh with its centre being n. Its four sides being k–>kh , kh–>g , g–>gh , gh–>k. the connecting diagonals being alternate k–>g / g–>k and kh–>gh / gh–>kh.

The distance between two alphabets is considered as a length or breadth. The distance between two alphabets may vary according to scenario.

Any side is the line joining the consecutive alphabets of a Devanagari script ,

• Square ( k-kh-g-gh )
  • centre ( n)
  • sides are ( k–>kh , kh–>g , g–>gh , gh–>k )
    • if all sides are equal then it becomes a vowel ( A)
  • diagonals are ( k–>g / g–>k and kh–>gh / gh–>kh )
  • Area = ( A square )
    • using diagonal area = d(vowel e) square / 2
    • using circumradius = 2R square
    • using sides = simply (vowel a) square
  • Perimeter = ( 4A )
• Triangle ( k-kh-g-gh )
• Circle
  • centre of circle ( n) , distance between n and vowel points on curve
  • curve is formed by vowels
    • arc is the distance between two vowels
    • the combined distance between each vowels
      • it is measured by circumference = 2piR
  • chord
    • straight line joining two vowels from inside
    • extended chord
      • secant
  • tangent
    • a line passing just touching a vowel point of curve of circle
  • diameter
    • a straight line passing through the centre “n” connecting any two vowels on curve
    • radius
      • half of the diameter
      • line connecting nasal centre to vowels
  • equation of circle
    • centre of circle N ( i , a )
• sphere