, , . , , . , .
b. h .
, , (. 3.7). 11 , , 2 2 , H , , c
tgc = h / b, (3.44)
2 b = (H - h)× tg2c (3.45)
, (3.44) (3.45),
(3.46)
h = b2 / H. (3.47)
1 1, , 2 2, . .
, (3.47), , ( H), , , .
, , , , , .
(. 3.8).
c1 = arctg(h1/b1), c2 = arctg(h2/b2) (3.48)
1 1
q¢1 = c1 q² = c2 . (3.49)
. 3.8,
q1 = q1 - g, g = p/2 - c1 - c2 (3.50)
-m
q1 = q1 - (n - 1)×g. (3.51)
qn ³ -q1. (3.52)
(3.51) :
n £ 2q1 / g + 1. (3.53)
(3.53) q1 g (3.49) (3.50), , 1 1
, . (3.54)
. (3.55)
(3.55) %, , c ³ p×(n - 1) / 4 n (3.56)
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n | ||||
c | 22,5 | 30 | 33,7 |
(3.56)
b<, . . , 2 2 (. 3.8).
q¢1 = arctg(b1/B2), q²1 = arctg(b2/B2), (3.57)
gI (II) = p/2 -c2(1). (3.58)
(3.53) (3.57) (3.58)
. (3.59)
b1/B2 = b2/B1 = b/B c1 = c2 = c
. (3.59 ¢)
c = 33,7 ( n1-1 = 4 1 - 1), b1/B2 = 0,5 b2/B1= 0,75 , n¢2-2 £ l,94, n²2-2 £ 2,309 , , .
, . 3.9.
x (3.53), g=x, 2 2 qi (3.57). , n £ 2q1/x+1. x = q1 n=3. n = 4 x £ 2q1/3
b/B | q1 | x |
0,5 0,75 | 26,56 36,87 | 17, 7 24,58 |
, , 24,6 , .
, () (. 3.10) . .
, . 3.10, , , , . N1N2<N2N3 ÐN1ON2 = ÐN2ON3. , , , n - . , . . , .
, , , . .
, , , [81]. , d0i (. 3.11):
(3.60)
q j
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. (3.61)
{s01,s03} :
p={qp,0}, s01={a,0}, s02={b,p/2}, s03={a,p}, s04={b,3p/2}, (3.62)
a = arctg(a/h); b = arctg(b/h); (3.63)
,- b, - b , (3.42) (3.43);
; (3.64)
ctg q .. 3.1 , : ctgqp= tgg.
(3.61)
(3.65)
a , , s03.
Q , a = qp (3.66)
. (3.67)
a/tga = b/tgb,
b = arctg(b×tga/a). (3.68)
, .. 3.2 b/a = sinq sinqP (3.66)
b arctg(sinqp×tgqp). (3.69)
. .. 3.1 , 40 tgg = 0,5. qp= 90-26,5 = 63,5, (3.66) (3.67) a = 63,5; b = 60,88.
, . b m - , , .
, , q j. , , , z, ,
. (3.70)
, , z s01 s03 , , z y a, s02 s04 x b.
, (3.71)
, (3.72)
s01 s03
. (3.73)
s01 d = d01= arcos(ps01), a1 = a;
s03 d = d03= arcos(ps03), a3 = p-a;
s02 s04
(3.74)
s02 d = d02= arcos(ps02), b02 = b s04 d = d04= arcos(ps04), b04 = b. (3.73) (3.74) q j, .
. 3.12 q j , () . . . 3.12, 90 £ q £ 180 , . (s03, s02) (s03,s04) . , , , , . ().
. 3.12, 0 £ q £ 90o, . . , (s01, s02) (s01,s04) s01. 1 2 (s03, s02) (s03,s04).
, . , . , , n - .
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, .