| George Roberts Perkins - Geometry - 1856 - 460 pages
...would be formed by AB and a straight line parallel to PD drawn through any point of AB. THEOREM vII. **If one of two parallel lines is perpendicular to a plane, the other will also** le perpendicular to this plane. Let AP and ED be parallel lines, of which AP is perpendicular to the... | |
| George Roberts Perkins - Geometry - 1860 - 443 pages
...would be formed by AB and a straight line parallel to PD drawn through any point of AB. THEOREM V11. **If one of two parallel lines is perpendicular to a plane, the other will also be perpendicular to** this plane. Let AP and ED be parallel lines, of which AP is perpendicular to the plane MN; then will... | |
| Eli Todd Tappan - Geometry, Modern - 1864 - 292 pages
...same plane, have the same direction ; that is, they are parallel to each other. 537. Corollary — **If one of two parallel lines is perpendicular to a plane, the other** is also. 182 OBLIQUE LINES AND PLANES. 529. Theorem — If from a point without a plane, a perpendicular... | |
| Eli Todd Tappan - Geometry - 1868 - 436 pages
...same plane, have the same direction ; that is, they are parallel to each other. 527. Corollary. — **If one of two parallel lines is perpendicular to a plane, the other** is also. 182 OBLIQUE LINE8 AND PLANE8. 529. Theorem — If from a point without a plane, a perpendicular... | |
| Charles Davies - Geometry - 1870 - 319 pages
...angles, which is impossible (Bk. I. Th. xvii. Cor. 4). Cor. If two lines are parallel, and one of them **is perpendicular to a plane, the other will also be perpendicular to** lite same plane. Of Planes. THEOREM VI. If two planes intersect each other at right angles, and a line... | |
| William Chauvenet - Geometry - 1871 - 380 pages
...therefore the plane MN of these lines is parallel to the plane M'N' (31). PROPOSITION XIV.— THEOREM. 33. **If one of two parallel lines is perpendicular to a plane, the other** 18 also perpendicular to that plane. Let AB, A'B', be parallel lines, and let AB be perpendicular to... | |
| William Chauvenet - Geometry - 1871 - 380 pages
...the plane MN of these lines is parallel to the plane M'N' (31). PROPOSITION XIV.— THEOREM. 33. IJ **one of two parallel lines is perpendicular to a plane, the other** is also perpendicular to that plane. Let AB, A'B', be parallel lines, and let AB be perpendicular to... | |
| William Chauvenet - Geometry - 1872 - 382 pages
...therefore the plane MN of these lines is parallel to the plane M'N' (31). PROPOSITION XIV.— THEOREM. 33. **If one of two parallel lines is perpendicular to a plane, the other** is also perpendicular to that plane. Let AB, A'B', be parallel lines, and let n s' AB be perpendicular... | |
| William Guy Peck - Conic sections - 1876 - 376 pages
...drawing lines through any point respectively parallel to the given lines. PROPOSITION VI. THEOREM. **If one of two parallel lines is perpendicular to a plane, the other** one is also perpendicular to that plane. Let PQ and RS be parallel, and let PQ be perpendicular to... | |
| Wm. H. H. Phillips - Geometry - 1878 - 236 pages
...of the circumference drawn through these points will be the foot of the perpendicular. IV. Theorem. **If one of two parallel lines is perpendicular to a plane, the other** is perpendicular to the same plane. HYPOTII. AB || CD, and AB _L MN. To BE PROVED. CD_LMN. PROOF. Through... | |
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