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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 324

An illustration from Plane and solid geometry, 1912, leaf 324
§§ 148, 149. 6. Pi? is the perpendicular required. II. Proof Argument 1. Through the foot of PR (P in Fig. 1, R in Fig. 2) in plane MNy drawEF II ^P. 2. ^P _L plane PQ. 3. r, EF A. plane PQ. 4. .-. EF A. PR\ Le, PR ± EF.6. But PP ± CD.6. .*. PP ± phuie MN. Q.E.D. III. The discussion will be given… … —-i--r--^ Given point P and line PJ, through P\ A. plane MK.To prove PA the only line through P X MN. Argument 1. Either PA is the only line through P J- MN or it is not. 2. Suppose there exists another line through P ± MNj as PB; then PA andPB determine a plane. 3. Let this plane intersect plane…

Geometry, Plane · Geometry, Solid

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