Plane and solid geometry . Given str. line AB1^ plane Ml!^ and plane FQ containing lineAB and intersecting plane MN in CD,To prove plane PQ 1. plane UN, Argument 1. AB L CD, 2. Through B, in plane MN, draw BE ± CD. 3. Then Z ABE is the plane Z of dihedral Z Q-CD-M, 4. But Z ^i?^ is a rt. Z. 6. .*. dihedral Z Q-CD-M is a rt. dihedralZ, and plane PQl. plane MN. Keasons 1. §619. 2. §63. 3. §670. 4. §619. 5. §677. Ex. 1211. If from the foot of a per-pendicular to a plane a line is drawn atright angles to any line in the plane, theline drawn from the point of intersec-tion so formed to any p
Plane and solid geometry . Given str. line AB1^ plane Ml!^ and plane FQ containing lineAB and intersecting plane MN in CD,To prove plane PQ 1. plane UN, Argument 1. AB L CD, 2. Through B, in plane MN, draw BE ± CD. 3. Then Z ABE is the plane Z of dihedral Z Q-CD-M, 4. But Z ^i?^ is a rt. Z. 6. .*. dihedral Z Q-CD-M is a rt. dihedralZ, and plane PQl. plane MN. Keasons 1. §619. 2. §63. 3. §670. 4. §619. 5. §677. Ex. 1211. If from the foot of a per-pendicular to a plane a line is drawn atright angles to any line in the plane, theline drawn from the point of intersec-tion so formed to any point in the per-pendicular is perpendicular to the line ofthe plane. M Hint. Make KE = EH. Prove AK = All, and apply § 142. Ex. 1212. In the ligure of Ex. 1211, if AB = 20, BE = 4\/Ti, andEK= 10, imdAK.
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Keywords: ., bookcentury1900, bookdecade1910, booksubjectgeometr, bookyear1912
