.


:




:

































 

 

 

 


8.

 

8.1. ‑ͨ

 

2 . , , .

, . ‑ . , . , , , , . .

, , . 1 . , . . .

, . , , .

: ‑ ‑. "" ", , "; "" ", " ( ", "); "" ", ".

, ‑‑‑‑, " ". 849 .. , . , . . . , . .

, ‑. . [58]

. . ‑‑‑‑. , ‑‑ (" ") ‑‑ (" "). ", ".

, , (", "). ‑ (. 158).

‑‑ : ‑ ‑ (‑‑‑‑) , ( !).

( , ‑):

5951'50" ..;

6200'45" ..

1:

5952'54" ..;

5233'54" ..

1 . , ‑ 1 1052,1 . ( 1000: 1) ( ) 1051,9 . , , 9237'19" ( 52 ..) 6361,182 . 6 . , .

: 849 , 840 , 1087 (≈ 1080), 894 981 .

 

8.2. ͨ‑

 

‑ ‑ ( ), () ‑. 5 . , , . "", ( ). ‑ ( ) ‑ ( , ) ‑. : .

‑ ( ) 1. 59 .., 60 .. 60 .., 65 .. (. 159). 1:5, 1:10 ( ) 1:10,8 ( ).

 

. 159

1 , . : . , .

.

(. 160). : ( . . ); ( . ); ( . ). .

 

. 160

. . 1081,08 (1080 + 1,08 ). . . 1065,891 , . " " (.. 90 = 5537'23" ..) 1048,479 .

:

. 1003 ;

. 1049 .

: " " , , " " 56. 2 " " 54. . ( ) .

 

 

‑ 1, .. . . 9 ( 56 .. 65 ..). , " ", . . 5,2422, 925'37" , 0,549088 (32'57") 61,133 . 5504'26" ... .

, . , "" ‑ "" , "" , " ", " ".

 

" , , : " ".

.., 1990, .217‑218

 

:

 

" "" , , ‑ . , , "".

.., 1990, .218

 

, "" , . , . ‑ " " ( "" "" "" , ).

 

", , " ", ".

.., 1990, .214

 

, "", "" "", "" (‑ ), , , "", "" ", ".

, ( ) mah . "" "" .

, , " " ( ) , " " . () "‑" " !". (, ) .

. ‑ 61 .., 65 .. 65 .. 67 .. ‑ ‑. ‑ " ". " " , .

61 .., 67 .. 65 .. 68 .. ‑ ‑ (60 .., 60 .. 68 .., 70 ..) 1. ‑ . .

. " " (, , ). ‑. , ‑. 57 .., 61 .. 52 .., 56 .. ‑ ‑. 57 .. 60 .. 53 .. 56 ..

‑ " ". ( ). . ?

, . .

 

 

‑ . ( . [79]):

 

" ? : " , . . . .

. . <...> , . ‑ , . , , <...>"

 

" " . , , :

 

" ".

 

"" " " . . . , , . ‑‑ .

, , , , , . , .

. . . , ( ). ? , . , ‑ ( 1). () . . , 1052.1 . ( ) (. 162).

 

. 162. .

, , . . . . (. 163). . , . ( , , , , , , , , ‑ .. ..). . . " ", , .

 

. 163. .

 

 

, , , , . , . . , , , , . , . , , . . , .

, . . . , , . , . ( ) , . , .

. ‑ .

, , .

, , . 1 ( ). , ‑ . 1 1052,1 , 1: 1000 (1051,9 ). ‑ , . ‑ . ‑, .

, , , " ", . . ? , . , , , , ( , ). , . , . .

. " " . , , , , , . . ‑, ‑ , "", . ‑. . : 1 ‑, 1051,9 , . 1. . .

. , ( ) 1081,08 (1080 + 1,08 ). 9. . , . ‑ . " " . , .

 

 

9.

 

 

 

 

. ‑. . . .

, 90 .. 30 .. , :

91 09' ..;

29 58'51" ..

:

31 09' ..;

29 58' 51" ..

60 . . .

 

" ‑ (629‑649 .), ".

 

, " 20 ‑ " 18 .

 

" . ( ‑ ). , , V . .. , (), " [19].

 

( III, II, . 44‑45) [22] :

 

" ‑ ( 650 .). . ‑ . , . . ‑ VII . , ‑".

 

.

 

 

30 .. .

(. 164). , [33, 34]. 30 .. 5 (43 .., 48 .. 30 .., 35 ..). . 30 .. 34 22' 37" .. " " [(1 ) 90 ( 56 )]. 48 .. " " 60:

60 0,8 = 48 .

, " " 54:

54 0,8 = 43,2 .

 

. 164. .

, 1 = 1 1 = 1 . . 30 .. "" ( 30 .., 90 .., 54 ..) " " ( 72 .., 74 ..). ( 50 .. 54 ..) "" : 60 .., 93 37' .. .

, " " ( ) . ‑.

45 (44 .., 45 ..). , " " " ":

72 = 44,4984... = 4429'54" ..

" " , . " ":

5238'54" .. = 52,648333;

52,648333 0,61803395 = 32,538457 = 3232'18" ..

.

:

5228'59" .. = 52.4830555;

52,4830555 0,61803395 = 32,43631 = 3226'11" ..

. .

, . .

, 360 "" ", ". "" 201,17 . 72421,2 , . VII‑VI . .. 10 2, .. 12‑13 . . "" . :

= 200 ;

360 200 = 72000 .

 

 

. 36 ( ) (. 165). 30 .. , 34 .., 37 .. 30 .., 33 .. (: 3313'40" .. 3146'20"..). " " 57 (57 0,6180395 = 35,227935 = 3513'41''), 13'40". ( ), 13'. 13'40" 13,666 = 13 + 0,666.

 

. 165. .

: , , . , , , 36, BEFC. , m‑n, AEFD AF. 36.

. PRST 18'. .

ABCD BEFC 9 .

‑ " " abcd. 3422'37" .. [(1 ) 90], 3704'55" .. ( 60), 3422'37" .. [(1 ) 90], 30 .. , , " ":

3704'55" .. 3422'37" .. = 242'18";

3422'37" .. 30 .. = 422'37";

2042'18"/422'37" = 0,61803383.

, " " :

422'37" 0,61803383 = 242'18".

3242'18" .. abcd afgd, (!), fd .

 

 

, , , , ( ‑) [21].

III . .. , . , ( ). : 40 .. 3438', 56 = 3436'36" .. , (. 166).

 

. 166. .

III . .. ( 2000 . ..) , . . , . , ‑ , . , .

XVIII XVII . .. , . . , , .

‑ 36 ..

, . . . ‑ , . .

, . , 9 ( 30 .. 34 .., 37 ..). "" ABCD 39 .. 42 .. 40 .. . " " 50 (50 0,8 = 40). 1, 1 = 1 1 = 1 . ( 40 43,2 ) . ( ) . .

 

 

36, 45 (. 167).

 

. 167. .

9 39 .., 42.. 43 .., 46 .. 45 18'. 3939'. , , " " 72, , 4009' .. , , . , 4242' .. "" 4430' .., ( ) . , "", , . 4159'23".. :

5228'59" .. = 52.483052;

52.483052 0.8 = 41.986442 = 4159'11" ..

:

5238'54" .. = 52.648332;

52.648332 0.8 = 42,118666 = 4207'07";

42,118666 41 = 1,118666;

√ 5/2 = 1,1180338.

"" 1 1,1180338.

, 303' . 3939' .. 4242' .. , . ().

. ? () . , (). . .

 

 

"" 54, ., , , 22‑24. 22 .. 24 .. . ( 40 43,2 ..) (. 168)[21, 53]. [53] . abd . , () ( efgh). He . , 38 .., , , 2343'12" ..:

2343'12" = 23,72.

II . .., .

 

. 168. .

. , , . ‑ (, ), ‑ . . . .

 



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