Skæring mellem linjer

Expression 33: StartFraction, "x" Subscript, 1 , Baseline plus "a" Subscript, 1 , Baseline "t" Subscript, 1 , Baseline minus "x" Subscript, 2 , Baseline Over "b" Subscript, 1 , Baseline , EndFraction equals StartFraction, "y" Subscript, 1 , Baseline plus "a" Subscript, 2 , Baseline "t" Subscript, 1 , Baseline minus "y" Subscript, 2 , Baseline Over "b" Subscript, 2 , Baseline , EndFraction

Expression 34: "x" Subscript, 1 , Baseline "b" Subscript, 2 , Baseline plus "a" Subscript, 1 , Baseline "t" Subscript, 1 , Baseline "b" Subscript, 2 , Baseline minus "x" Subscript, 2 , Baseline "b" Subscript, 2 , Baseline equals "y" Subscript, 1 , Baseline "b" Subscript, 1 , Baseline plus "a" Subscript, 2 , Baseline "t" Subscript, 1 , Baseline "b" Subscript, 1 , Baseline minus "y" Subscript, 2 , Baseline "b" Subscript, 1 , Baseline

Expression 35: left parenthesis, "a" Subscript, 1 , Baseline "b" Subscript, 2 , Baseline minus "a" Subscript, 2 , Baseline "b" Subscript, 1 , Baseline , right parenthesis "t" Subscript, 1 , Baseline equals "y" Subscript, 1 , Baseline "b" Subscript, 1 , Baseline minus "y" Subscript, 2 , Baseline "b" Subscript, 1 , Baseline minus "x" Subscript, 1 , Baseline "b" Subscript, 2 , Baseline plus "x" Subscript, 2 , Baseline "b" Subscript, 2 , Baseline

Expression 36: "t" Subscript, 1 , Baseline equals StartFraction, left parenthesis, "y" Subscript, 1 , Baseline minus "y" Subscript, 2 , Baseline , right parenthesis "b" Subscript, 1 , Baseline minus left parenthesis, "x" Subscript, 1 , Baseline minus "x" Subscript, 2 , Baseline , right parenthesis "b" Subscript, 2 , Baseline Over "a" Subscript, 1 , Baseline "b" Subscript, 2 , Baseline minus "a" Subscript, 2 , Baseline "b" Subscript, 1 , Baseline , EndFraction

equals

2.2 2 6 0 3 2 4 8 6 3 1

som indsættes i en ligning for s:

Expression 38: "s" Subscript, 1 , Baseline equals StartFraction, "y" Subscript, 1 , Baseline plus "a" Subscript, 2 , Baseline "t" Subscript, 1 , Baseline minus "y" Subscript, 2 , Baseline Over "b" Subscript, 2 , Baseline , EndFraction

equals

2.3 1 9 9 8 2 1 6 7 9 6

Expression 39: StartFraction, "x" Subscript, 1 , Baseline plus "a" Subscript, 1 , Baseline "t" Subscript, 1 , Baseline minus "x" Subscript, 2 , Baseline Over "b" Subscript, 1 , Baseline , EndFraction

equals

2.3 1 9 9 8 2 1 6 7 9 6

Skæringens 1. koordinat

Expression 41: "i" Subscript, 1 , Baseline equals "x" Subscript, "r" "e" "d" , Baseline left parenthesis, "t" Subscript, 1 , Baseline , right parenthesis

equals

1.4 6 1 1 6 1 4 8 2 8

Expression 42: "x" Subscript, 1 , Baseline plus "a" Subscript, 1 , Baseline "t" Subscript, 1 , Baseline

equals

1.4 6 1 1 6 1 4 8 2 8

Expression 43: "x" Subscript, "b" "l" "u" "e" , Baseline left parenthesis, "s" Subscript, 1 , Baseline , right parenthesis

equals

1.4 6 1 1 6 1 4 8 2 8

Expression 44: "x" Subscript, 2 , Baseline plus "b" Subscript, 1 , Baseline "s" Subscript, 1 , Baseline

equals

1.4 6 1 1 6 1 4 8 2 8

Skæringens 2. koordinat

Expression 46: "i" Subscript, 2 , Baseline equals "y" Subscript, "r" "e" "d" , Baseline left parenthesis, "t" Subscript, 1 , Baseline , right parenthesis

equals

3.5 7 2 3 4 5 2 5 5 6 5

Expression 47: "y" Subscript, 1 , Baseline plus "a" Subscript, 2 , Baseline "t" Subscript, 1 , Baseline

equals

3.5 7 2 3 4 5 2 5 5 6 5

Expression 48: "y" Subscript, "b" "l" "u" "e" , Baseline left parenthesis, "s" Subscript, 1 , Baseline , right parenthesis

equals

3.5 7 2 3 4 5 2 5 5 6 5

Expression 49: "y" Subscript, 2 , Baseline plus "b" Subscript, 2 , Baseline "s" Subscript, 1 , Baseline

equals

3.5 7 2 3 4 5 2 5 5 6 5

Determinanten

Expression 51: "D" equals "a" Subscript, 1 , Baseline "b" Subscript, 2 , Baseline minus "a" Subscript, 2 , Baseline "b" Subscript, 1 , Baseline

equals

negative 8.7 4 8 3

Hvis D = 0, er linjerne parallelle

Punkter

Expression 54: "K" equals "K" Subscript, "o" "o" "r" "d" "i" "n" "a" "t" "e" "r" , Baseline

equals

`\textcolor{black}{(\ x_1+a_1\ ;\ y_1+a_2\ )}` left parenthesis, left brace, "K" equals 0 , right brace "x" Subscript, 1 , Baseline plus "a" Subscript, 1 , Baseline , "y" Subscript, 1 , Baseline plus "a" Subscript, 2 , Baseline , right parenthesis

Label:

equals

left parenthesis, 2.1 6 , negative 0.4 , right parenthesis

Label: left parenthesis, left brace, "K" equals 1 , right brace "x" Subscript, 1 , Baseline plus "a" Subscript, 1 , Baseline , "y" Subscript, 1 , Baseline plus "a" Subscript, 2 , Baseline , right parenthesis

Label:

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`\textcolor{black}{(\ x_2 + b_1\ ;\ y_2 + b_2\ )}` left parenthesis, left brace, "K" equals 0 , right brace "x" Subscript, 2 , Baseline plus "b" Subscript, 1 , Baseline , "y" Subscript, 2 , Baseline plus "b" Subscript, 2 , Baseline , right parenthesis

Label:

equals

left parenthesis, negative 1.3 9 , negative 0.4 8 , right parenthesis

Label: left parenthesis, left brace, "K" equals 1 , right brace "x" Subscript, 2 , Baseline plus "b" Subscript, 1 , Baseline , "y" Subscript, 2 , Baseline plus "b" Subscript, 2 , Baseline , right parenthesis

Label:

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`\textcolor{black}{(\ x_1\ ;\ y_1\ )}` left parenthesis, left brace, "K" equals 0 , right brace "x" Subscript, 1 , Baseline , "y" Subscript, 1 , Baseline , right parenthesis

Label:

equals

left parenthesis, 2.7 3 , negative 3.6 4 , right parenthesis

Label: left parenthesis, left brace, "K" equals 1 , right brace "x" Subscript, 1 , Baseline , "y" Subscript, 1 , Baseline , right parenthesis

Label:

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`\textcolor{black}{(\ x_2\ ;\ y_2\ )}` left parenthesis, left brace, "K" equals 0 , right brace "x" Subscript, 2 , Baseline , "y" Subscript, 2 , Baseline , right parenthesis

Label:

equals

left parenthesis, negative 3.5 5 , negative 3.5 5 , right parenthesis

Label: left parenthesis, left brace, "K" equals 1 , right brace "x" Subscript, 2 , Baseline , "y" Subscript, 2 , Baseline , right parenthesis

Label:

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`(\ i_1\ ;\ i_2\ ) = (\ ${I1}\ ;\ ${I2}\ )` left parenthesis, left brace, "K" equals 0 , right brace "i" Subscript, 1 , Baseline , "i" Subscript, 2 , Baseline , right parenthesis

Label:

equals

left parenthesis, 1.4 6 1 1 6 1 4 8 , 3.5 7 2 3 4 5 2 6 , right parenthesis

Expression 64: "I" Subscript, 1 , Baseline equals StartFraction, round left parenthesis, 10 Superscript, "D" Subscript, "e" "c" "i" "m" "a" "l" "e" "r" , Baseline , Baseline "i" Subscript, 1 , Baseline , right parenthesis Over 10 Superscript, "D" Subscript, "e" "c" "i" "m" "a" "l" "e" "r" , Baseline , Baseline , EndFraction

equals

1.4 6

Expression 65: "I" Subscript, 2 , Baseline equals StartFraction, round left parenthesis, 10 Superscript, "D" Subscript, "e" "c" "i" "m" "a" "l" "e" "r" , Baseline , Baseline "i" Subscript, 2 , Baseline , right parenthesis Over 10 Superscript, "D" Subscript, "e" "c" "i" "m" "a" "l" "e" "r" , Baseline , Baseline , EndFraction

equals

3.5 7

Label: left parenthesis, left brace, "K" equals 1 , right brace "i" Subscript, 1 , Baseline , "i" Subscript, 2 , Baseline , right parenthesis

Label:

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Start black, ( "x" Subscript, 1 , Baseline plus "a" Subscript, 1 , Baseline ; "y" Subscript, 1 , Baseline plus "a" Subscript, 2 , Baseline ) End black

Start black, ( "x" Subscript, 2 , Baseline plus "b" Subscript, 1 , Baseline ; "y" Subscript, 2 , Baseline plus "b" Subscript, 2 , Baseline ) End black

Start black, ( "x" Subscript, 1 , Baseline ; "y" Subscript, 1 , Baseline ) End black

Start black, ( "x" Subscript, 2 , Baseline ; "y" Subscript, 2 , Baseline ) End black

( "i" Subscript, 1 , Baseline ; "i" Subscript, 2 , Baseline ) equals ( 1.4 6 ; 3.5 7 )