. Drawing for beginners . right line ; that should find the centre of the arch. In other words, enclose curved shapes in rectangular shapes. Although a single arch, or even a couple of arches, mightbe sketched fairly correctly without such aid, a cluster ofarches presents a more complicated problem, and we shouldfeel justified in using this method of checking perspective. Circles, we know, are exceedingly difficult to draw artist, of course, should draw circles without resorting tomechanical means, but a beginner, on occasion, may wish tocheck his drawing of a circle by enclosing


. Drawing for beginners . right line ; that should find the centre of the arch. In other words, enclose curved shapes in rectangular shapes. Although a single arch, or even a couple of arches, mightbe sketched fairly correctly without such aid, a cluster ofarches presents a more complicated problem, and we shouldfeel justified in using this method of checking perspective. Circles, we know, are exceedingly difficult to draw artist, of course, should draw circles without resorting tomechanical means, but a beginner, on occasion, may wish tocheck his drawing of a circle by enclosing it in a square. In Fig. 57 we have an upright circle in a square, also acircle enclosed in a square and in perspective—, recedingfrom the spectator. Strictly speaking, many perspective problems belong togeometry and not to art, and provided that we understand a132 Measuring and Perspective few simple rules, we need not worry ourselves with intricateproblems. But there is one deduction to which we must pay Fig. 56. The Fobeshorteking op Curves and Arches Every receding line or surface must necessarily be fore-shortened. What is foreshortening ? A coin seen upright and straight in front is a perfect circle ;a coin seen lying down is a coin diminished and a coin fore-shortened. In the first example the circle is complete. In 1S3 Drawing for Beginners the second example the surface of the coin is receding and thecoin appears to be thicker in the part nearest the does not appear to be a perfect circle. Every object or thing that advances toward the spectatoris foreshortened. For instance, some one points a fingerdirectly at the artist. What does the artist see ? He seesthe tip of the finger, the tip of the thumb, the width of bentfingers, knuckles, palm, and arm, but the planes or surfacesthat recede—such as the shaft of the finger itself, the fore-


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