(2) -- Lines

When very thin planes intersect, there is a line (a straight line) at a common point. When curved planes intersect, there is a curved line. A geometrical line doesn't have width, it only has length, direction, and form. However, formative arts it should be shown visually, so here we have the same problems as in the case of the expression of points.


(1) Relation between points, lines, and planes

When a point moves it becomes a line, then a line moves and becomes a plane. When a plane moves it become a solid. In mathematics, their dimensions are respected, and without considering the "quantity" of points or lines it is discussed purely as the problem of forms, locations, and directions. However, in formative arts, invisible shapes can not be treated. So, as the shape with area was treated in the section on points, lines are treated by being given width and thickness. But these areas and widths, of course, weaken their images as lines as the quantity increases, and the awareness of a plane gradually becomes strong. In this case, a borderline cannot be drawn where the recognition as the shape of a plane occurs. It depends on the surroundings. But it can be said that even a very thick line is mixed, it is easy to be thought of as a line in the case of a collection of same or similar lines.
 
 


43

 

Figure 43: Lines drawn by actual writing equipment.


 

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