Descriptive geometry . view of theplane, and in the ^projection the point in which the line Apierces the plane appears directly. The //-projection of thispoint is obtained by projecting from the F-projection. 120. The Shortest Distance from a Point to a Plane. The shortest distance from a given point to a given plane may beobtained by dropping a perpendicular from the point to theplane, and then measuring the length of this perpendicular. XII, § 120] INTERSECTION OF PLANES 105 Problem 14. To find the shortest distance from a point toa plane. Analysis. From the given point drop a perpendicular
Descriptive geometry . view of theplane, and in the ^projection the point in which the line Apierces the plane appears directly. The //-projection of thispoint is obtained by projecting from the F-projection. 120. The Shortest Distance from a Point to a Plane. The shortest distance from a given point to a given plane may beobtained by dropping a perpendicular from the point to theplane, and then measuring the length of this perpendicular. XII, § 120] INTERSECTION OF PLANES 105 Problem 14. To find the shortest distance from a point toa plane. Analysis. From the given point drop a perpendicular to thegiven plane. Find the foot of the perpendicular, that is, thepoint in which the line pierces the given plane. Obtain thetrue length of the perpendicular. Note. Observe tbat this solution is a direct application of the previousProblem. Construction (Fig. 179). Let a be the given point, and Q thegiven plane. From a draw the indefinite line, O, perpendicularto Q (§ 111). Find the point, b, in which C intersects Q.
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