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Винницкий национальный технический университет

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V " ":

) 8 C , " -

, A . 9 S 8 C , - S 8 ".

; ! ! C =0,25 ;

8) " " " 8, 8 mi 82 mi "

, 8 17.3. =

" " , = 8 S . S

= 9,75, A = , A " -

= 10 ";

, 8 17.3 – 7 " "

]	E =		9
"	"
,							8 =		yci			8 mi	82 mi
	yc ,						8 =			C
		–								C
		–
				mi
9,50 – 9,75	9,625		25					- 0,5				- 12,5	6,25
9,76 – 10,00	9,88		15					0,52				7,8	4,056
10,01 – 10,25	10,13		11					1,52				16,72	25,414
10,26 – 10,50	10,38		9					2,52				22,68	57,15
:			60					+4,06				34,7	92,87
) " # # # ! "
6:

	= C	2 mi					mi				2		(17.8)
	= C										.		(17.8)
			mi				mi
			mi				mi
2! & $#:

	= 0,25		92,87			34,7 2
	= 0,25		60				60	= 0,27 ;
			60				60
) " D ! ! #" ! $
• " 6:					6
			• =		6		,						(17.9)
			• =				,						(17.9)

– , ;– , .

Z A • =1, A - = ", A [0 • 1], – 8, A • >1, – "-

. t 6 " 8 A

. 17.5.

N/•

• =1

• <1

N/•

• >1

)

H-3 H

H-3 x

H-3 H

H-3

)

H-3 H H-3 x

7 17.5 – t 6 " 8 A

(N – , 8 = )

I " 6 . 17.5 " =, A ), A-

• >1, " -

8 8 " . , -

8 = , " -

", " 8 . 7, .

2! & $#:

• =	6 0,27	=1,62 .
	1

X " =, A " " 8 . 7

A 8 ,

8 = .

9- : " #$ + -

2$ + ! #" " =, -

( ) -

6 " X +, 8 -

" .

2$ + ! #" " = " 6:

e =	6	=		1 •	.	(17.10)
	2		2

Z " 6 17.10, " • ’" 8. ,, A A • =1, :

e = 12 1 = 0.

X , A 6 " X

"8 " +, =. 8- S 8 - " 8 ( . . 17.5, ).

V , • =0, 8 8, A -

, ", 6 =

: e = 1 2 0 =1/2.

X " =, A 6 " X

+ 8 -1/2 ( ), 8 ± 1/2 . ]-

S , X = ± 21 ( ).

, , " 8 , A 6 =

" -

[0 e 1/2 ].

Z A 6 = -

= #’ , " =, A -

8- = " 8 = -

. X ", " 8-

S :

= 1 1,62 =

e 2 0,31.

" " . 17.5, .

10- : " + + 6 -

K + 6

" =, ( )

+ 6 = 6 " -

X . e 6 =

6 " = " 6:

6	=	y	+	,	(17.11)

X – 6 " 8, A -

, .

E 6 " X 8, A -

( 6- 8), " = " 6:

	=	y1 + y2 + y3 + y4 + y5 + y6	,	(17.12)
X

6

y1, y2…y6 – 6 " " 8, .

2! & $! #:

X = 9,96 + 9,765 + 9,845 +10,22 + 9,945 + 9,93 = 9,944 . 6

Z A 6 6 =

6 8 ’= ", " =, A 6

" X 8 " , 8 -

Z A 6 6 =

6 8 ", " =, A 6

" X 8 " , 8

Z A 6 6 =

6 8 , " =, A 6 "-

X 8 "8 " .

2! & $! #:

= 9,944 10 =6 1 0,056.

X , A 6 " X 8 6 ! +=10

0,056 = 0,056 1 = 0,056 .

11- : 8 " A

.7 " A , -

, :

) A • >1.

" ", " 8 . 7, -

, 8 = -

;

8) 0 • 1, 0 e 1/2 | 6|< , "

", " 8 . 7, , -

= 8 = ;

) 0 • 1, 0 e 1/2 | 6|> , "

", " 8 . 7, , -

8 = .

17.2 $ "". $ . % !* " ) " "".

+ = " -

. + , -

=, +=20 . % = 3 . = "

=21,5 , = " + =18,5 .

8 17.4 A 30 8, 8 " 8 -

", 6 A , 8 8

" ".

, 8 17.4 – % "

-	+ 8,		&	, " 6 ,
	-		-					+
	"		8-	1	2	3	4		5	6	7	8	9	10
	"
1	1, 2, 3, 4, 5,	30	1	20,15	21,40	21,30	20,75		20,50	20,75	21,40	21,25	21,25	21,00
2	2, 3, 4, 5, 6,	25	2	19,50	19,75	19,00	19,50		19,25	20,00	19,75	20,10	20,25	19,00
3	3, 4, 5, 6, 7,	27	3	19,25	19,00	19,75	19,75		19,8	19,90	20,00	21,00	19,75	21,40
4	4, 5, 6, 7, 8 , 29		4	19,40	19,75	19,00	20,00		19,75	19,75	20,00	21,00	20,25	19,00
5	5, 6, 7, 8, 9,	16	5	20,00	19,90	19,50	19,25		19,25	19,50	19,75	19,00	19,00	18,75
6	6, 7, 8, 9, 10, 19		6	18,75	18,75	19,00	19,00		18,80	18,60	18,75	18,75	19,00	19,00
7	7, 8, 9, 10, 11, 20		7	18,65	18,75	18,75	18.50		18,75	18,75	18,85	18,75	18,75	20,00
8	8, 9, 10, 11, 12, 21		8	18,75	18,70	18,75	19,00		19,00	19,25	19,25	19,25	19,25	19,00
9	9 10, 11, 12, 13, 22		9	19,25	19,50	19,50	19,25		19,50	19,50	19,9	19,50	19,75	19,9
10	10, 11, 12, 13, 14,23		10	19,75	20,00	20,00	9,75		19,75	20,00	20,00	19,75	19,75	20,50
11	11, 12, 13, 14, 15, 24		11	20,00	20,25	20,25	20,25		20,50	20,50	20,50	20,25	20,25	20,50
12	12, 13, 14, 15, 16, 25		12	20,25	21,25	21,50	21,50		20,50	20,75	20,50	20,75	20,50	20,50
13	13, 14, 15, 16, 17, 27		13	20,50	20,50	21,25	21,50		21,25	21,50	20,75	20,50	20,75	20,50
14	14, 15, 16, 17, 18,21		14	20,50	20,75	20,75	20,75		21,00	21,00	21,45	21,30	20,75	21,40
15	15, 16, 17, 18, 19, 30		15	20,75	20,75	21,00	21,30		20,75	20,75	21,45	21,40	21,30	21,25
16	16, 17, 18, 19, 20, 24		16	21,00	21,00	21,25	21,25		21,25	21,50	21,25	21,25	21,45	21,45
17	17, 18, 19, 20, 21, 8		17	11,50	21,45	21,30	21,75		21,75	21,75	21,50	21,50	21,45	21,50
18	18, 19,20, 21, 22, 3		18	21,50	21,25	21,25	21,25		21,00	21,00	21,00	21,25	21,30	21,40
19	19, 20, 21, 22, 23, 1		19	21,25	21,25	21,00	21,00		20,75	20,75	20,75	20,50	20,50	20,75
20	20, 21, 22, 23, 24, 2		20	21,50	21,00	21,00	20,75		20,75	20,50	20,50	20,75	20,50	20,25
21	21, 22, 23, 24, 25, 7		21	20,75	20,75	20,25	20,25		20,25	20,00	20,00	19,75	19,75	20,00
22	22, 23, 24, 25, 26, 9		22	20,25	20,25	20,00	20,00		19,75	19,75	20,00	19,50	19,50	19,50
23	23, 24, 25, 26, 27, 10		23	20,00	19,75	19,75	20,00		19,50	19,50	19,50	19,75	19,25	19,25
24	24, 25, 26, 27, 28, 4		24	19,75	19,75	19,50	19,50		19,50	19,25	19,50	19,50	19,25	19,50
25	25, 26, 27, 28, 29, 5		25	19,50	19,50	19,50	19,75		19,50	19,25	19,50	19,25	19,25	19,25
26	26, 27, 28, 29, 30, 6		26	19,35	19,25	19,40	19,25		19,00	19,00	19,20	18,75	19,00	19,75
27	27, 28, 29, 30, 1, 15		27	19,25	19,00	19,00	18,75		19,00	18,75	18,75	18,75	19,00	18,50
28	28, 29, 30, 1, 2, 13		28	19,00	19,00	18,75	18,75		19,00	18,75	18,50	18,50	18,50	18,65
29	29, 30, 1, 2, 3, 11		29	18,75	18,50	18,50	18,75		18,50	18,85	18,60	18,75	18,60	18,75
30	30, 1, 2, 3, 4, 19		30	19,90	18,75	19,00	19,25		19,00	19,25	19,25	19,25	19,50	19,90

. 8 17.4, 8:

1." 8, "-

, 8, 8. 17.1.

2.6 " ", " 8 A . V :

) " 6 "

8) " " " 8;) " 6-

" ";)

, 6 " ".

) " 8 A -

, .

3. C ". V :

) " ,

8 " " " 8 17.3 "-

. C :

-	C ,	-	C ,	-	C ,	-	C ,	-	C ,

1	0,1	7	0,15	13	0,25	19	0,25	25	0,2
2	0,15	8	0,2	14	0,3	20	0,1	26	0,25
3	0,2	9	0,25	15	0,1	21	0,15	27	0,3
4	0,25	10	0,3	16	0,15	22	0,2	28	0,1
5	0,3	11	0,2	17	0,2	23	0,25	29	0,15
6	0,2	12	0,1	18	0,25	24	0,1	30	0,2

8) " A

8 6, 6 . 17.5;) " 6 = -

;) " 6 6 = -

4.8 - " A .

5.8 .

17.3 ! "". $ . % "!& 4 ! 5'&' *& " "

1.C " ", S

8 =.

2.E, " " .

3.C8’= .

4.+ 6

5.C " "

6.C " " " “"-

”.

7.C " " -

8.C " "

9.=

? % " .

10.. t: " " (6) " ".

11., " -

12..

13.7 " "

14.Z =

15.Z 6 -

? Z

8 , " ?

16.Z " = A -

? Z " A -

" " 8 " ?

17.Z ’" 8 A

6 =

? Z 6 "?

18.Z S 6 6 =

8 ", A 8 " 8 A ",

" -?

19.+ 6, 8 " 8

, • =1, X = H .

20. + 6, 8 " 8

, • =1, X < H .

21. + 6, 8 " 8

, • =1, X > H .

22. + 6, 8 " 8

, • =0,5, X = H .

23. + 6, 8 " 8

, • =1,5, X = H .

138	0
	'% : “ $* "'"". ! ! ! (" ) "!& 4 . !*
	5& $6 -7 %'! $ % "$ *$6 " A

" ('" ! %'$* "”

": " " -

" .

18.1' &'! (" ( ! "

, "

" " 17. + =, A

8 = 8:

1.8 .

2.8 8.

3.E 8 8 ".

4." ".

5.A 8.

7 " "

, " = # # # ! -

#. S 8 S "-

[1, 4, 10].

" 8 = -

1- : 8 = 8, = , " = " " .

;$ , D ! # !, # 10 . ; ! #$ =1 " ± 0,5 # !,

# ! # " , D #$# #, D # # " # 9,5 # 10,5 .

2- : " = 8 -

" 6 = " 8.

;$ , ! " # $#

10 # !. !

6 ( ), # ! 18.1.

, 8 18.1 – e " ( )

+			+ 8

	1	2	3	4	5	6
1	9,65	9,85	10,15	9,90	10,20	9,95
2	9,55	9,75	9,95	10,25	9,60	10,00
3	9,65	10,25	9,70	10,20	9,75	9,70
4	10,00	9,75	9,60	10,30	9,90	10,40
5	9,75	9,55	9,60	10,45	10,25	9,75
6	9,80	9,80	10,00	10,30	10,00	9,70
7	10,35	9,65	9,70	9,80	10,40	10,25
8	10,40	9,60	9,75	10,10	9,75	10,00
9	10,20	9,75	10,25	10,45	9,60	9,75
10	10,25	9,70	9,75	10,45	10,00	9,80

Z " 8 18.1, 8 -

, 8 " = ", 8 A

10,5 8 8 S " 9,5 . I A " =, A 8

=, 8 8 8 .

3- : " = 8 8 ",

8 = " " 8. # -

" = " -

" 8 . +, -

1, 3, 6, 14, 19 = 6, A "

, A ".

2! & $! # # " # ! ! & -

!. 2! $& – 10,00 , #! # – 9,75 , #!

– 9,75 , #! – 10,30 , #! $’ – 10,00 , #! & – 9,95 ;

4- : " "-

( ! # "-

" = " 6:

3		i
pi =			,	(18.1)
	6

– = " , .;

– , ;

– 6 =, " 8.

6 = 8 18.2.

, 8 18.2 – 6 =


8	3	5	7	9	10	11	13	15
n
	2,32	2,5	2,62	2,7	2,74	2,77	2,82	2,87

0 " ! # +						"-
" = " 6:
H pi = H	+	3		i
					,	(18.2)
			6

+ – = " , .

( ! # " = " 6:

3
=		,	(18.3)
	6

– 6 =, " 8.

6 = 8 18.3.

, 8 18.3 – 6 =


8	3	5	7		9			10		11	13	15
n
	2,0	1,55	1,32		1,18		1,10			1,06	1,0	0,91
0 "	! # + " =
" 6:
						3
		H = H		+					.			(18.4)
		H = H		+		6			.			(18.4)
						6

2! & $! #:

3			i					3	2,74			=10,456 ,
pi =			i		=10,5 1
pi =		6			=10,5 1					6
		6								6
	3				i			3 2,74
H pi = H +					i	=9,5 +1						= 9,543 ,
H pi = H +		6				=9,5 +1				6		= 9,543 ,
		6								6
		3								3 1,1		=10,18 ,
=						=10,5		1
=		6				=10,5		1		6
		6								6
H = H +		3						+1			3 1,1	= 9,82 .
							=9,5
				6			=9,5			6
				6						6

5- : , + , +

, . 18.1.

6- : "

% 8 ’ , A " -

8 + , -

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