| 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... | |
| Horatio Nelson Robinson - Geometry - 1860 - 470 pages
...angle BFA js the inclination of the line BF to the plane ST. I THEOREM VI. If either of two parallels is perpendicular to a plane, the other is also perpendicular 'to the plane. The two parallels determine a plane which intersects the given plane in AD ; through D draw MN 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... | |
| Benjamin Greenleaf - Geometry - 1861 - 638 pages
...it is their common section, A B. M PROPOSITION X. — THEOREM. 415. If one of two parallel straight lines is perpendicular to a plane, the other is also perpendicular to the same plane. Let AB, CD bo two parallel straight lines, of which AB is perpendicular to the plane MN... | |
| Benjamin Greenleaf - Geometry - 1862 - 518 pages
...hence, it is their common section, AB. PROPOSITION X. — THEOREM. 415. If one of two parallel straight lines is perpendicular to a plane, the other is also perpendicular to the same plane. Let AB, CD be two parallel straight lines, of which AB is perpendicular to the plane MN... | |
| Benjamin Greenleaf - Geometry - 1863 - 504 pages
...hence, it is their common section, AB. PROPOSITION X. — THEOREM. 415. If one of two parallel straight lines is perpendicular to a plane, the other is also perpendicular to the same plane. Let AB, CD be two parallel A straight lil1es, of which AB is perpendicular to the plane... | |
| 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... | |
| |