| Adrien Marie Legendre - Geometry - 1836 - 394 pages
...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...AP is perpendicular to the plane NM, then will ED be also perpendicular to it. Through the parallels AP, DE, pass a plane ; its intersection with the... | |
| Adrien Marie Legendre - Geometry - 1837 - 376 pages
...PROPOSITION VII. THEOREM. If one of two parallel lines be perpendicular to a plane, the other will also lie perpendicular to the same plane, Let the lines ED,...parallel ; if AP is perpendicular to the plane NM, -r then will ED be also per- — pendicular to it. Through the parallels AP, DE, pass a plane ; its... | |
| Adrien Marie Legendre - Geometry - 1839 - 372 pages
...PROPOSITION VII. THEOREM. If one of two parallel lines lie perpendicular to a plane, the other will also lie perpendicular to the same plane. Let the lines ED,...AP is perpendicular to the plane NM, then will ED be .also perpendicular to it. Through the parallels AP, DE, pass a plane ; its intersection with the... | |
| Nathan Scholfield - 1845 - 894 pages
...one of the points of AB. 13 PROPOSITION VIII. THEOREM. If one of two parallel lines be perdendicular to a plane, the other will also be perpendicular to...same plane. Let the lines ED, AP, be parallel ; if A Pis perpendicular to the plane XM, then will ED be also perpendicular to it. Through the parallels... | |
| 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 to the plane MN ; then will... | |
| Perry Fairfax Nursey - Industrial arts - 1848 - 648 pages
...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 be perpendicular to the plane MN : then will CD also... | |
| Charles Davies - Trigonometry - 1849 - 372 pages
...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...AP is perpendicular to the plane NM, then will ED be also perpendicular to it. Through the parallels AP, DE, pass a plane ; its intersection with the... | |
| 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 to the plane MN ; then will... | |
| Charles Davies - Geometry - 1886 - 340 pages
...angles, which is impossible (Bk. I. Th. xvii. Cor. 4). Cor. If two lines are parallel, and one of them 1s perpendicular to a plane, the other will also be perpendicular to the same plane. Of PUnoa. THEOREM V1. If two planes intersect each other at right angles, and a hnt 6e drawn in one... | |
| Charles Davies - Geometry - 1854 - 436 pages
...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 to the plane N3f, then will ED be also perpendicular... | |
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