Refraction Through a Convex Lens - Phase 1

運算式 27: "c" equals "h" minus "m" "R" Subscript, 2 , Baseline

equals

4.2 3 9 6 9 3 1 5 7 4 5

運算式 28: "y" equals "m" "x" plus "c" left brace, "R" Subscript, 2 , Baseline less than "x" less than "a" , right brace

運算式 29: "a" equals StartFraction, negative 2 "m" "c" plus 2 StartRoot, "m" squared "c" squared minus left parenthesis, "m" squared plus 1 , right parenthesis left parenthesis, "c" squared minus "R" squared , right parenthesis , EndRoot Over 2 "m" squared plus 2 , EndFraction

equals

14.7 2 2 9 5 6 5 4 3 7

運算式 30: "b" equals "m" "a" plus "c"

equals

2.8 6 9 5 9 0 6 6 9 8 9

隱藏的標籤 left parenthesis, "a" , "b" , right parenthesis

標籤

equals

left parenthesis, 14.7 2 2 9 5 6 5 , 2.8 6 9 5 9 0 6 7 , right parenthesis

運算式 32: "m" Subscript, 3 , Baseline equals StartFraction, "b" "a" Over "a" squared minus "R" squared , EndFraction

equals

negative 5.1 3 0 6 8 1 7 7 2 2

運算式 33: "c" Subscript, 3 , Baseline equals "b" minus "m" Subscript, 3 , Baseline "a"

equals

78.4 0 8 3 9 5 4 4 1 5

運算式 34: "y" equals "m" Subscript, 3 , Baseline "x" plus "c" Subscript, 3 , Baseline

"x" Subscript, 3 , Baseline	"y" Subscript, 3 , Baseline
0	0	r1c3:
"a"	"b"	r2c3:
		r3c3:

隱藏的標籤 left parenthesis, negative StartFraction, "c" Subscript, 3 , Baseline Over "m" Subscript, 3 , Baseline , EndFraction , 0 , right parenthesis

標籤

equals

left parenthesis, 15.2 8 2 2 5 6 6 , 0 , right parenthesis

運算式 37: "y" equals "m" Subscript, 3 , Baseline "x"

運算式 38: rho equals StartFraction, "c" Over "m" Subscript, 3 , Baseline minus "m" , EndFraction

equals

negative 0.8 4 1 6 0 5 9 0 9 1 4 2

運算式 39: varrho equals StartFraction, "m" Subscript, 3 , Baseline "c" Over "m" Subscript, 3 , Baseline minus "m" , EndFraction

equals

4.3 1 8 0 1 2 0 9 7 4 1

隱藏的標籤 left parenthesis, rho , varrho , right parenthesis

標籤

equals

left parenthesis, negative 0.8 4 1 6 0 5 9 1 , 4.3 1 8 0 1 2 1 , right parenthesis

運算式 41: "R" Subscript, 3 , Baseline equals distance left parenthesis, left parenthesis, "a" , "b" , right parenthesis , left parenthesis, rho , varrho , right parenthesis , right parenthesis

equals

15.6 3 1 8 1 1 4 4 2 7

運算式 42: theta Subscript, "s" , Baseline equals StartFraction, StartRoot, rho squared plus varrho squared , EndRoot Over "R" Subscript, 3 , Baseline , EndFraction

equals

0.2 8 1 4 3 0 2 4 9 5 5 6

運算式 43: theta Subscript, "c" , Baseline equals StartRoot, 1 minus theta squared , EndRoot

equals

0.9 5 9 5 8 1 6 8 7 3 1 7

運算式 44: phi Subscript, "s" , Baseline equals "n" theta Subscript, "s" , Baseline

equals

0.5 1 5 0 1 7 3 5 6 6 8 7

隱藏的標籤 left parenthesis, 0 , "c" , right parenthesis

標籤

equals

left parenthesis, 0 , 4.2 3 9 6 9 3 1 6 , right parenthesis

運算式 46: "R" Subscript, 4 , Baseline equals distance left parenthesis, left parenthesis, 0 , "c" , right parenthesis , left parenthesis, "a" , "b" , right parenthesis , right parenthesis

equals

14.7 8 6 5 6 9 2 5 1

運算式 47: gamma Subscript, "s" , Baseline equals StartFraction, "c" minus "b" Over "R" Subscript, 4 , Baseline , EndFraction

equals

0.0 9 2 6 5 8 5 7 8 4 9 1 2

運算式 48: delta Subscript, "s" , Baseline equals theta Subscript, "s" , Baseline

equals

0.2 8 1 4 3 0 2 4 9 5 5 6

運算式 49: delta equals sine to the negative 1st power left parenthesis, delta Subscript, "s" , Baseline , right parenthesis

equals

0.2 8 5 2 8 4 2 7 6 8 8 5

運算式 50: phi equals sine to the negative 1st power left parenthesis, phi Subscript, "s" , Baseline , right parenthesis

equals

0.5 4 1 0 2 7 8 9 7 7 2 3

運算式 51: gamma equals sine to the negative 1st power left parenthesis, gamma Subscript, "s" , Baseline , right parenthesis

equals

0.0 9 2 7 9 1 6 8 1 8 1 9 8

隱藏的標籤 left parenthesis, "R" Subscript, 4 , Baseline cos left parenthesis, delta minus phi minus gamma , right parenthesis plus "a" , "R" Subscript, 4 , Baseline sin left parenthesis, delta minus phi minus gamma , right parenthesis plus "b" , right parenthesis

標籤

equals

left parenthesis, 28.6 2 0 4 6 7 7 , negative 2.1 8 0 3 4 1 2 8 , right parenthesis

"x" Subscript, 5 , Baseline	"y" Subscript, 5 , Baseline
"a"	"b"	r1c3:
"R" Subscript, 4 , Baseline cosine left parenthesis, delta minus phi minus gamma , right parenthesis plus "a"	"R" Subscript, 4 , Baseline sine left parenthesis, delta minus phi minus gamma , right parenthesis plus "b"	r2c3:
		r3c3:

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