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" If one of two parallel lines is perpendicular to a plane, the other will also be perpendicular to the same plane. "
Elements of Geometry and Trigonometry: With Notes - Page 126
by Adrien Marie Legendre - 1830 - 316 pages
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1836 - 359 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...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1837 - 359 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...
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Elements of Geometry and Trigonometry

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...
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Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

Nathan Scholfield - 1845 - 896 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...
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Elements of Geometry: With Practical Applications ...

George Roberts Perkins - Geometry - 1847 - 308 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...
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Iron: An Illustrated Weekly Journal for Iron and Steel ..., Volume 48

Perry Fairfax Nursey - Industrial arts - 1848
...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...
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Elements of Geometry and Trigonometry Translated from the French of A.M ...

Charles Davies - Trigonometry - 1849 - 384 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...
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Elements of Geometry: With, Practical Applications

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...
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Elements of Geometry and Trigonometry: With Applications in Mensuration

Charles Davies - Geometry - 1886 - 334 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...
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

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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