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How to construct a line perpendicular to a given line,
passing through a given point 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 a circle with point 2 as its center, and a suitable radius.
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| 4. |
| Draw an arc with the center at one of the intersections of line 1 and circle 3, and a suitable radius, preferably somewhat greater than the diameter of circle 3.
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| 5. |
| Repeat this for the other intersection of line 1 and circle 3. The radius must be equal to that of arc 4, and both arcs must intersect twice.
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| 6. |
| Draw the line connecting both intersections of arcs 4 and 5.
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| 7. |
| This is the line to be constructed, perpendicular to line 1 and passing through given point 2.
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