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Plane and solid geometry (1912)

Hart, C. A. (Clara Avis), b. 1863, Feldman, Daniel D., b. 1872 · New York, American Book Co · leaf 327

An illustration from Plane and solid geometry, 1912, leaf 327
r. IV. If two angles, not in the same plane,have their sides parallel respectively, their planes areparallel. Ex. 1173. Hold a pointer parallel to the blackboard. Is its shadowon the blackboard parallel to the pointer ? why ? Ex. 1174. Find the locus of all straight lines passing through a… … Given II lines AB and CD, and plane MN containing CZ>.To prove plane MN II AB, Argument 1. Either plane MN is II AB or it is not. 2. Suppose M2^ is not II AB; then plane MN will intersect AB. 3. Then plane 3/iYmust also intersect CD, 4. This is impossible, for MN contains CD.6. .-. plane 3AY II…

Geometry, Plane · Geometry, Solid

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