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- An auxiliary line (or helping line) is an extra line needed to complete a proof in plane geometry. Other common auxiliary constructs in elementary plane synthetic geometry are the helping circles. As an example, a proof of the theorem on the sum of angles of a triangle can be done by adding a straight line parallel to one of the triangle sides (passing through the opposite vertex). Although the adding of auxiliary constructs can often make a problem obvious, it's not at all obvious to discover the helpful construct among all the possibilities, and for this reason many prefer to use more systematic methods for the solution of geometric problems (such as the coordinate method, which requires much less ingenuity). (en)
- 보조선(auxiliary line)은 평면기하학의 증명을 완수하는데 필요한 추가 선이다. 예를 들면 삼각형의 각들의 합의 증명 이론은 삼각형 면 중 하나에 평행하여 직선을 추가함으로써 수행할 수 있다. (ko)
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- 보조선(auxiliary line)은 평면기하학의 증명을 완수하는데 필요한 추가 선이다. 예를 들면 삼각형의 각들의 합의 증명 이론은 삼각형 면 중 하나에 평행하여 직선을 추가함으로써 수행할 수 있다. (ko)
- An auxiliary line (or helping line) is an extra line needed to complete a proof in plane geometry. Other common auxiliary constructs in elementary plane synthetic geometry are the helping circles. As an example, a proof of the theorem on the sum of angles of a triangle can be done by adding a straight line parallel to one of the triangle sides (passing through the opposite vertex). (en)
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- Auxiliary line (en)
- 보조선 (ko)
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