a b a = a
ϕ λ ϕ λ ρ δ ρ δ
ϕ λ
M' J' x' = = m MJ x M' K' y' = = n MK y x' x = m 2-1 y' y = n 2 2 x + y = 1 2-2 2 2 x' y' 2 + 2 = 1 m n µ = ds ' ds
2 2 2 2 m + n = a + b 2-3 mnsinθ = ab 2-4 2 2 2 ( a + b) = m + n + 2mnsiθ 2 5 2 2 2 ( ) ( a b) = m + n 2mnsiθ ds' ds ds' Vµ = = 1 = µ 1 ds ds df' πab P = = = ab 2-6 df π1 2 df df V = ' df' p = 1 = P 1 df df
y tgα = x y' tgα' = x' y' = b x ', = a y x y' = by, x' = ax by b tgα' = = ax a tg α a b sin α - α' = sin α + sinα' a + b sin( α 0 α' 0 ) = a b a + 2-8 b ω = 2( a a' ) 0 0 ω = a0 a' 0 2 2-8 ω a = b sin 2-9 2 a + b ω sin = 2 2 2 m + n 2mnsinθ 2 2 m + n + 2mnsinθ ( 2 10)
a = 1 b = 1 b a
ϕ ϕ ϕ ϕ ϕ ϕ ϕ ϕ ϕ ϕ ϕ ϕ ϕ ϕ
ρ = f( Z) ( 2 11) δ = ψ x = ρcosδ y = ρsinδ ϕ A' B' µ 1 = AB B' C' µ 2 = BC AB = Rdz BC = rdψ = Rsin zdψ dρ µ 1 = 2-12 Rdz ρ µ 2 = 2-13 Rsinz Pdρ P = µ 1µ 2 = 2 2-14 R sin zdz ω µ µ sin = 2 µ + µ 1 2 1 2 2-15 ω µ 1 µ 2 ω µ 2 µ 1 µ 1 µ 2 sin = µ 2 µ 1 sin = 2 µ + µ 2 µ + µ 1 2 2 1
ρ = 2Rtg Z 2 ρ = 2Rtg Z 2 δ = ψ ϕ 90 ϕ ρ = 2Rtg ρ 2
ϕ ϕ = 2Rtg Z 2-12 2-13 2 d2rtg Z 2 µ 2 Z 1 = = sec RdZ 2 2Rtg Z 2Rtg Z 2 µ 2 2 Z 2 = = = sec RsinZ Z 2 2Rsin 2 4 Z P = 1 2 = sec 2 1 2 sin ω = ω = 0 2 + 1 2 1 2
ρdρ P = 2 = 1 R sinzdz 2 ρdρ = R sinzdz 2 ρ 2 = k R cosz k 2 Z ρ = 2( R R cos Z) = 2R ( 1 cosz) = 2R 2sin = 4R sin 2 Z ρ = 2R sin 2 2 2 2 2 2 2 2 2 Z ρ = 2R sin 2 δ = ψ ϕ Z dρ d2r sin µ 2 Z 1 = = = cos RdZ RdZ 2 Z ρ 2R sin µ 2 Z 2 = = = sec R sinz R sinz 2 P = µ µ = 1 1 2 Z Z ω sec cos = 2 2 Z Z sin Θ sec > cos 2 Z Z 2 2 sec + cos 2 2 Z 2
1 2 ϕ ϕ ϕ ϕ ϕ ϕ ϕ ϕ ϕ ϕ ϕ dρ µ 1 = = 1 RdZ ϕ
µ 1 = 1 Z µ 2 = sin Z Z P = sin Z Z 1 ω sinz Z sin Z sin = = Z > Z, µ 2 > µ 1 2 Z Z + sin Z ( Θ sin ) + 1 sinz 1 2
ϕ ϕ x = f( ϕ) ( 2 16) y = cλ ϕ λ ϕ m A ' B ' dx = = 2-17 AB Rdϕ A' D' dy cdλ c n = = = = 2-18 AD Rcosϕdλ Rcosϕdλ Rcosϕ P = mn 2-19 ω m n sin = 2-20 2 m + n
ϕ n0 n = c 0 c = Rcos 0 = R Rcosϕ = 1 ϕ c 1 ϕk n k = = 1 c = Rcos Rcosϕ ϕ k 0 ϕ ϕ ϕ m = n = dx Rd = c ϕ Rcosϕ c = R dx 1 = Rdϕ cosϕ dx = R secϕdϕ x = R secϕdϕ ϕ x = R1ntg 45 + + k ( k ) 2 ϕ k
x = R ntg ϕ 1 45 + 2 ϕ 1ntg 45 + 2.71828 10 2 ϕ 1 1ntg 45 + mod = 0.43429 2 mod R x = gtg + 0 43429 1 45 ϕ. 2 R x = gtg + 0 43429 1 45 ϕ. 2 y = Rλ m = n = secϕ P = mn = sec 2 ϕ ( 2 21) ω m n sin = ω = 0 2 m + n ϕ ω
ϕ ϕ
1 n ϕ0 0 0 0 0 0 0 0 k k k k k k 0 0 0 0 0 0
ü
2 4 2R
ϕ ϕ ρ = f( ϕ) ( 2 22) δ = cλ ρ δ ρ δ ϕ ρ ρ δ ρ δ ρ ϕ
ϕ λ ϕ λ m A ' B ' d = = ρ AB Rdϕ A' D' ρdδ n = = = AD Rcosϕdλ P = mn sin ω 2 m n = m + n cρ Rcosϕ ϕ ϕ ϕ ϕ
ϕ0 ϕ ϕ ϕ ϕ1 ϕ2 ϕ ϕ ϕ
ϕ ϕ ϕ ϕ ϕ ϕ ϕ ϕ ϕ1 ϕ2 ϕ ϕ ϕ ϕ ϕ ϕ
ϕ ϕ ϕ1 ϕ2 ϕ ϕ ϕ ϕ0 0 0 0 0 0 0 ϕ1 ϕ2 2 2 2 2 2 2 1 1 1 1 1 1
m = S' m + S' ' m ( S M ) 2 m 0 n = S' n + S' ' n ( S M ) 2 n 0
ϕ λ ϕ λ
ϕ
M A NF = N A M F
1 d 2. + d M D
ρ = γ ρ + γ ρ + γ ρ + γ ρ λ S λs V λv γ λγ ϖ λϖ λ γ γ γ γ γ ϖ λ λ λγ λϖ
ϕ α α P λ'' = 60'' 1' 4 = 60'' = 8' ' 30 P ϕ' ' = 60'' 1' 23 = 60' ' = 39''. 4 35
ϕ 2. 5 10 P b 10 1.79m P 14
AB = ( x X ) + ( Y Y ) 2 2 B A B A
ctg D h α =
1. D = h ctgα 1000 mm M
2 S = h L M S = h L M + h AB 2 ' 2
S C = C n n 2 1 X S = P X P g
S = S + 2 0 S H 0 R 2S H 0 S0 R 2 H R 2 H R S S S i 2 = 0 + 0 S0 2 i 6-4
i 2 i2 2 2 V D F i 1 + i i = h 2 V h h = ( F0 + 2F1 + 2F2 + Λ Λ + 2Fi 1 + F) + F 2 3
F1 + F2 1 2 = l 2 F2 + F3 2 3 = l 2 n 1 i 1 2 3 V V V = V = V + V + V + Λ + V n
ϕ = +1 4
38 35' 1 100 +1 = 10 J 4 λ = 31 6 114 20' 1 100 + 31 = 50 6 1 100 J 50 D = H h d
h = 12 D ctgα
ab Oa Ob = = AB OA OB
PA PB BA BA CD = = = = Pa Ca PC BD Ca AA' BA CD = = aa' BD Ca BA = AA ' aa' PC AA' aa' 1 BA = 3000000 960mm = 480mm 1 1500000