Prove an isometry on C maps parallel lines to parallel lines without using the geometric concept of equidistance. (You may use that two lines are parallel if and only if they both are translations of the same line through the origin.)

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Chapter2: Second-order Linear Odes
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Prove an isometry on C maps parallel lines to parallel lines without using the
geometric concept of equidistance. (You may use that two lines are parallel if
and only if they both are translations of the same line through the origin.)
Transcribed Image Text:Prove an isometry on C maps parallel lines to parallel lines without using the geometric concept of equidistance. (You may use that two lines are parallel if and only if they both are translations of the same line through the origin.)
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