 | Adrien Marie Legendre - Geometry - 1828 - 346 pages
...formed by AB and a straight line parallel to PD drawn through one of the points of AB. THEOREM. "7 335. If one of two parallel lines is perpendicular to a plane, the other will also be perpendicular to the same plane. Let the lines ED, AP be parallel ; if AP is perpendicular... | |
 | George Roberts Perkins - Geometry - 1847 - 326 pages
...and a straight line parallel to PD drawn through one of the points of AB. PROPOSITION VII. THEOREM. If one of two parallel lines is perpendicular to a plane, the other will also be perpendicular to this plane. Let AP & ED be parallel lines, of which AP is perpendicular... | |
 | George Roberts Perkins - Geometry - 1850 - 332 pages
...by. AB and a straight line parallel to PD drawn through any point of AB. PROPOSITION VII. THEOREM. 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... | |
 | 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... | |
 | George Roberts Perkins - Geometry - 1860 - 472 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... | |
 | Eli Todd Tappan - Geometry, Modern - 1864 - 288 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 and... | |
 | Eli Todd Tappan - Geometry - 1868 - 444 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 and... | |
 | 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 the plane... | |
 | 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 - Mathematics - 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 to the... | |
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If one of two parallel lines is perpendicular to a plane, the other is also perpendicular to the plane. 
