A rough rectangle may be drawn on a globe by drawing two lines of latitude, one just north and one just south of the equator that go halfway around the globe together, and then drawing a line of longitude around the globe, connecting their endpoints. Of course this will not produce a perfect Euclidean flat-sided rectangle because the surface is curved.
Actually, this technique will make TWO very long rectangles, each with square corners, if all three lines are extended around the globe!
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To divide a rectangle into 7 parts using 3 lines: Use 2 lines to draw two diagonals. Use the third line to draw a parallel line to any of the sides but not passing through the centre
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Just draw the diagonals and you have four quarters.
For a picture of a rectangle with the lines of symmetry drawn, see the Related Link below. The image is toward the bottom of the page.
it is possible to draw a square that is a rectangle?