 | Adrien Marie Legendre - Geometry - 1836 - 394 pages
...formed by AB and a straight line parallel to PD drawn through one of the points of AB. PROPOSITION VII. THEOREM. If one of two parallel lines be 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... | |
 | Adrien Marie Legendre - Geometry - 1838 - 382 pages
...formed by AB and a straight line parallel to PD drawn through one of the points of AB. PROPOSITION VII. THEOREM. If one of two parallel lines be perpendicular to a plane, the othet will also be perpendicular to the same plane. M 7C D Let the lines ED, AP, be parallel ; if AP... | |
 | Perry Fairfax Nursey - Industrial arts - 1848 - 648 pages
...to the plane MN, a/I planes drawn through it will be alike perpendicular to that plane. PBOP. XXXIV. If one of two parallel lines be perpendicular to a plane, the other will also be perpendicular to the same plane. Let AB, CD be parallel lines, and let one of them AB... | |
 | Charles Davies - Trigonometry - 1849 - 372 pages
...formed by AB and a straight line parallel to PD drawn through one of the points of AB. PROPOSITION VII. THEOREM. If one of two parallel lines be 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... | |
 | Elias Loomis - Conic sections - 1849 - 252 pages
...plane, they are parallel to each other (Prop. XX., BI). Therefore, two straight lines, &c. Cor. 1. If one of two parallel lines be perpendicular to a plane, the other will be perpendicular to the same plane. If AB is perpendicular to the plane MN, then (Prop. VI.) the... | |
 | Charles Davies - Geometry - 1854 - 436 pages
...be formed by AB and a straight line drawn through any point of AB, parallel to PD. PROPOSITION VII. THEOREM. If one of two parallel lines be perpendicular to a plane, the other will also be perpendicular to the same plane. Let ED, AP, be two parallel lines; if AP is perpendicular... | |
 | Adrien Marie Legendre, Charles Davies - Geometry - 1857 - 442 pages
...be formed by AB and a straight line drawn through any point of AB, parallel to PD. PROPOSITION VII. THEOREM. If one • of two parallel lines be perpendicular to a plane, tiw other will also be perpendicular to the same plane. Let ED, AP, be two parallel lines; if AP is... | |
 | Elias Loomis - Conic sections - 1858 - 256 pages
...plane, they are parallel to each other (Prop. XX., BI). Therefore, two straight lines, &c. Cor. 1. If one of two parallel lines be perpendicular to a plane, the other will be perpendicular to the same plane. If AB is perpendicular to the plane MN, then (Prop. VI.) the... | |
 | Elias Loomis - Geometry - 1871 - 302 pages
...plane, they are parallel to each other (Prop. XX., BI). Therefore, two straight lines, &c. Cor. 1. If one of two parallel lines be perpendicular to a plane, the other will be perpendicular to the same plane. If AB is perpendicular to the plane MN, then (Prop. VI.) the... | |
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... 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 with each other the same angle, which would be formed by AB and a straight line parallel to PD drawn... 