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현재 위치

Location of a point moving on a line, which has the minimum distance from two points not located on the line

작성자 Uploader : 208st 작성일 Upload Date: 2018-09-13변경일 Update Date: 2018-09-13조회수 View : 334

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Location of a point moving on a line, which has the minimum distance from two points not located on the line

As shown in figure, calculate the minimum distance passing through A, P and D.

Letting the point D′ as the symmetric transposition of the point D with respect to line segment, the intersection point P between th line segments BC and AD′ is
the location which has the minimum distance along points A, P and D.

Length of the line segment BP is :

h1 : BP = (h1+h2) : L
BP = h1*L / (h1+h2)

Also, the minimum distance along points A, P and D is :

APD = ((h1+h2)^2 + L^2)^(1/2)

▶ Input data

■ length of line segment BP

■ minimum distance (length of line segment APD)

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※ Input data on red underlines.

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현재 위치

Location of a point moving on a line, which has the minimum distance from two points not located on the line

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