By A.B. Emary

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**Extra resources for A Comprehensive Practical Geometry for Builders**

**Example text**

Draw a - c at right angles to the X - Y line. With centre a and compass open to just touch H - T describe an arc to give b' on the X - Y line. ) The angle a - b' - c is the inclination of the plane to the horizontal plane. Vation Qf intersection inclination of intersection v Figure 156 T A glance at the pictorial view of the two planes (figure 157) will help the reader to understand the situation of the two planes. 1. Figure 154 H" Figure 155 Draw the vertical trace at the required angle and then draw the horizontal traces.

Develop the length of the intersection by using centre x' and radius x' - y' and describing an arc to meet the X - Y line from which point the inclination and length of the intersection can be shown. 5. 6. 7. 49 Draw a line from c, parallel to the horizontal trace, and from g mark off the vertical height of the surface to give point h. Draw f - h and extend d - b to give b" on f - h. Draw lines from f, b" and h at right angles to f - hand then make f - a" equal f - a, b" - d" equal b - d and h - c" equal g -c.

The normal should be drawn at right angles to the tangent. FOCAL POINT TO PARABOLA If it is required to draw a number of normals to a parabola, the method in figure 103 should be used. 1. 2. Draw the parabola and a tangent to a point P as in the previous drawing. Draw a vertical line from P and with centre P and any radius describe the arc g - h cutting the tangent at i. normal tangent Figure 102 NORMALS AND TANGENTS a To draw a normal and a tangent to a point P on the curve (figure 102): Figure 103 33 A comprehensive practical geometry for builders 34 3.