 | George Roberts Perkins - Geometry - 1856 - 460 pages
...parallel to BC would make with each other a right angle. In the same manner, the line AB and the line PD, which represent any two straight lines not situated...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... | |
 | Adrien Marie Legendre, Charles Davies - Geometry - 1857 - 442 pages
...of its points parallel to BC, would make with each other a right angle. In the same manner, AB, PD, which represent any two straight lines not situated...are supposed to form with each other the same angle, as would be formed by AB and a straight line drawn through any point of AB, parallel to PD. PROPOSITION... | |
 | George Roberts Perkins - Geometry - 1860 - 472 pages
...parallel to BC would make with each other a right angle. In the same manner, the line AB and the line PD, which represent any two straight lines not situated in the same plane, are supposed to form witlr each other the same angle which would be formed by AB and a straight line parallel to PD drawn... | |
 | 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... | |
 | Gerardus Beekman Docharty - Geometry - 1867 - 474 pages
...line drawn through any point in PQ parallel to GH would form a right angle. In like manner, PG and QK, which represent any two straight lines not situated in the same plane, are considered to form with each other the same angle which PG would make with any parallel to QK, drawn... | |
 | 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... | |
 | 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 - 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... | |
 | Eli Todd Tappan - Geometry - 1873 - 288 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 LINES AND PLANES. 529. Theorem — If from a point without a plane, a perpendicular... | |
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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 to the plane MN ; then will ED be also perpendicular to this plane. 
