                         2:   

     ᪮॥ ਪ,  祬 魮 ࠪ ,    ,
믠  饩  .  ,  뢠 ࠪ⨪, 魮 
   筮 ⫨   ᭮  ᮧ 孨  , 
⭮襭 樢樨  䥭 ६  -    ࠪ⨪ ⠫-
.   ਭ樯 ᮧ ३ ᥭ ⠪ ᠬ  ᥡ:  -
,  ᪮쪮 ᭮  ࠪ⭠ ⥬᪠   ⠥     
ਨ,   ନ஢ ⮢ ࠭⢠ 樢樨.
        横᪮    ६ 
  ࠥ    த 横: ᬥ   , ᫮-
 饭    ᢮ ,  ᬥ ६ ,    
  ⨪  ᬥ 䠧 ,  ᫮ 饭    . 
 ᮬ 易 ⨥ ⮪,   - ,  쨬 -   .
   ⠭   ᫥ 横   ஡.   ⭮,  孮 
宫  㭭 ᢥ - ,  ⢨⥫쭮, ࠦ ᮫ ᢥ.  -
饭    ᢥ饭      孮  ,  
ਢ  ਮ᪮   䠧 .  ࢠ 䠧,  뢠 㭨,
ᮮ⢥ ,   㭠   ᢮   뢠   楬 
.  ⮬  饭   ஭  ᢥ頥     -
. ᪮ 㭠    :  ᭠砫  ଥ 㧪 ௠,  ਡ-
⥫쭮 १ ᥬ ⮪ - 㣠.  䠧 뢠 ࢮ ⢥. ਡ-
⥫쭮  १ ᥬ  㭠    אַ ⨢  
 饭   ஭  ᢥ頥 .  㯠 㭨,   
६ 㭠 室   室         .    १ ᥬ
⮪ 㯠 ᫥ ⢥,     ᭮ ⠭ -
㣮,  饭 㪫   ஭.

                      2                 <------------------   
                                                              
                                        <------------------   
       3                            1                         
                                        <------------------   
                                                         
                                        <------------------
                      4

    .1.  : 1-㭨; 2-ࢠ ⢥; 3-㭨; 4- ⢥

    ஬⮪ ६   묨  䠧 뢠 ᨭ-
᪨ 楬.   ࠢ 29.5305 ⮪,     楢  ⠢ 354.3670 
⮪.  稭  ய᪮  (஬⮪ ६   ᫥⥫-
묨 宦ﬨ ᪠  १  ᥭ ࠢ⢨) ࠢ 365.24421 
⮪.   , ᨭ᪨  ᮨਬ   ⪠,   ய᪨ -
:   ⮨  楫 ᫠ ⮪   㪫뢠  ⪠  ய᪮ 
.   ⮬  砥 ᭮ ஡,     ᮧ . 
⨬  ᭮ ⮤  ࠧ襭.
     ⨯  ३:  㭭 ,  㭭-᮫   
᮫ .  㭭   ࠥ ⮫쪮   ᨭ᪨   
易  ய᪨ .   ⮨  ⮬ 砥   -
楢  த⥫쭮  ࠢ,    㦥 ⬥砫 354.3670 ⮪.   
, 祢,    29  30 ⮪. 室 ਤ㬠 ⠪ 奬 
। 楢, ⮡     ᫮ ,  ᨬ쭮 ਡ 
୮ .  , ਬ, ਭ,    ⮨  354 -
⮪:   "" 楢  30 ⮪   ""  29 ⮪ (6*30+6*29 =
354).   ⮡ 砫 ୮     筥 ᮢ   㭨,
   ।;  ਬ,     ᮤঠ  30
,   -  29 .   ஬⮪ ६  12 ᨭ᪨ 楢 
0.3670 ⮪  ୮ 㭭   354 ⮪.     訡 -
 㦥 1.1001 ⮪.  ⥫쭮,  ⢥⮬  砫   㭨 -
 㦥 室   ,    ᫠ 楢.   ,  -
 ६   ६ ᫥  ࠢ:  ਡ⥫쭮  १      
⠢   ,  ..  354       355 .    354 
ਭ 뢠 ,   355  - ᮪.
     饬  ஡  ஥ 㭭   ᢮   ᫥饬:
室  ⠪ 冷 ᫥    ᮪  㭭 横,
 ஬ 砫  楢  ⮤   㭨.   -
 室  楫 ᫮ 㭭 ,  ஥  - 楫 
  楫 ᫮ ⠢ .    ᫮ ⠢   ।-
  ⤥묨   横. 筮, .. 稭 㭭  ࠢ 
354.3670,  뫮  ⠢ 367   殮 1000 㭭 .   
᫨誮 让 ஬⮪ ६,    㤭 ࠡ. ⥫   
 ஡ ஡,   祭,    訬 ᫨⥫   ⥫.  
襭   ᯮ ⮤  ࠧ  樮쭮 ᫠   楯 ஡. 
 ,  ந쭮 ᫮  ।⠢  :
              m                            1
             --- = a0 + ----------------------------------
              n                            1
                         a1 +  ---------------------------   
                                           1
                                a2 +    ------------------
                                         a3 + ...
祬 楯窠  筮 ⢮ ⮢.  ᫥⥫ ਡ-
  ᫠   ⥬ ஡ﬨ,    饬.   ᬠਢ  砥 
楯 ஡  

                 367                    1
            K = ------ = ---------------------------------
                 1000                   1
                          2 + ----------------------------
                                              1
                                1 + ----------------------
                                              1
                                      2 + ----------
                                           1 + ...

 ᫥⥫ ਡ ࠢ:  (i) = 1/2; 1/3; 3/8; 4/11; 7/19; 11/30...
     㢨 ,  ஥ 㭭 ३ 뫨 ᯮ짮  ᫥-
⥫ ਡ: =3/8  =11/30.   ࢮ 砥 ("檨 横")  -
殮 쬨   ⠢   .  ஬ ("ࠡ᪨ 横")  -
⪥  30  11   ᮪묨. ன 横  訡     
2500 .
    ⥮ਨ 㭭-᮫筮   ᯮ  稭:   ய᪨
 = 365.2422 ⮪    ᨭ᪨  = 29.5305 ⮪.   ஢,
  ய᪨  = 12,3682 ᨭ᪨ . ⠪,  ᮫筮  ᮤ-
 12  㭭 楢   ਬ୮  . ⥫쭮,   㭭-
᮫筮      12  13 㭭 楢.   ⮬ 室, 
⮡ 砫  ୮  ᯮ      㭨, 
 ।  殮 横 த⥫쭮 ୮  뫠   -
⥫쭮 ய᪮ .  ⠢ 13-   ந ⠪, ⮡ 
砫 ୮  ᯮ      -  ஭-
᪮ ᮫筮 ,  ਬ,  ࠢ⢨.   ஡  ⭮-
襭 த⥫쭮 ய᪮   த⥫쭮 ᨭ᪮   
楯 ஡:
             3682                          1
        K = ------ = ----------------------------------------------
            10000          1
                      2 + -----------------------------------------
                                1
                           1 + ------------------------------------
                                     1
                                2 + -------------------------------
                                          1
                                     1 + --------------------------
                                          ...

    ᫥⥫ ਡ  : =1/2; 1/3; 3/8; 4/11; 7/19 ...
   ⥫ ஡ 㪠뢠  த⥫쭮 横  ,   ᫨⥫ - 
⢮ ⠢ 楢  横.
     ॢ  ᮮ⢥  쥬 (=3/8)  ⮬ (=7/19)
ਡ.  襬    横,  ᯮ짮訩   ॢ  
ᨬ     ॢ ४.   ⮬ 横 ᮯ⠢ 
稭: 8 ய᪨  = 2921.9376 ⮪  99 ᨭ⪨ 楢 = 2923.5284
⮪.    ࠧ, 쬨⭨  横 ⮨  99 楢: 53 -
  46 , .. 53*30+46*29=2924 (⮪). 訡 ਮ  ⭮襭  ࠢ-
 ਡ⥫쭮  ⮪,  .. ᫥  ⠪ 横 ⭠ 䠧  
    ࠭, 祬  砫 横, ᫥⥫쭮,  横 
 ᮤঠ ६ 2924  2923 ⮪.   ⭮襭   譮 
⠢ 1.53 ⮪  ᥬ   ਬ୮ ஥ ⮪  16 .   ᫨  -
砫 横 㭨  ந諮   ࠢ⢨,  १ 16   ந-
  ஥ ⮪ .  ७  横,  .. ।   
栬, ⠪: 2924 = ((8*354)+2)+(3*30)  2924=8(6*30+6*29)+(3*30)
    ᭮ ᮫筮   த⥫쭮 ய᪮  - 365.2422 
⮪.  ࠧ ,        365   366 
⮪.   㪠 冷 ।   ᮪   -
 । 横  ⥬,  ⮡ ।  த⥫쭮  ୮   
横 뫠       த⥫쭮  ய᪮ .   
஡  ய᪮   楯 ஡  :

          2422     1
    K = ------- = -------------------------------------------------------
         10000          1
                   4 + --------------------------------------------------
                             1
                        7 + ---------------------------------------------
                                  1
                             1 + ----------------------------------------
                                       1
                                  3 + -----------------------------------
                                       ...

   ⢥騥 ਡ ࠢ:  =1/4; 7/29; 8/33; 31/128 ..7
   ⠪,       ᥬ   ⭨ 横, 
 殮   ந  ⠢.   横 ᯮ  -
᪮ (  ६  45 .  ..) .  ।, த⥫-
 ⠪ ୮   0.0078 ⮪  த⥫쭮 ய᪮ 
,    ࠧ  128  ⠢  ਬ୮ ⪨.  ᪮쪮   
  ਣਠ᪨ ,  ਭ ࠭  ய  1582 . -
⥫쭮 ୮   ਭ ࠢ 365.2425 ⮪.  .. 0,2425 =
97/400,  ஬⮪ ६  400  ⥫ 366-  ⠢ 97 ࠧ, 
..  ࠢ  ᪨  ६  ஥ ⮪   400  뢠. 
 㤮⢠       , ᫮ ⥭   -
  ⪠  4. , 1500, 1700, 1800,1900    ᮪묨.

                                           :
														 
1. । ஥ ᮫筮 ,  ᭮  쥬  ਡ ( =
   3/8). ࠩ  訡 横.
2. ⠩ ᮧ 㭭-᮫ ,  室  嫥⭥ 横. -
   ⠩ 訡.
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