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How to construct a line perpendicular to a given line, passing through a given point not on this line?
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1. |
| Start with two points defining the given line.
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2. |
| Determine the given point.
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3. |
| Draw an arc with its center at point 2 and a suitable radius. The arc must intersect line 1 twice at points with a suitable distance.
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4. |
| Draw an arc with its center at one of the intersections of line 1 and arc 3, with a suitable radius.
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5. |
| Repeat this for the other intersection. The radius must be equal to that of arc 4, and both arcs must intersect at the opposite side of line 1 relative to point 2.
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6. |
| Draw the line connecting point 2 to the intersection of arcs 4 and 5.
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7. |
| The part of line 6 from point 2 to the intersection of it with line 1 is the line to be constructed, perpendicular to line 1 and passing through point 2.
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