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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. "
Elements of Geometry: With Practical Applications ... - Page 180
by George Roberts Perkins - 1847 - 308 pages
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Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - Geometry - 1822 - 367 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...parallel to PD drawn through one of the points of AB. 115 PROPOSITION VII. THEOREM. If the line AP is perpendicular to the plane MN, any line DE parallel...
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Elements of Geometry and Trigonometry: With Notes

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 to the plane NM, then will...
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Elements of Geometry and Trigonometry

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

Adrien Marie Legendre - Geometry - 1837 - 359 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...parallel to PD drawn through one of the points of Aii. PROPOSITION VII. THEOREM. If one of two parallel lines be perpendicular to a plane, the other...
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Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

Nathan Scholfield - 1845 - 896 pages
...parellcl 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...parallel to PD drawn through one of the points of AB. 13 PROPOSITION VIII. THEOREM. If one of two parallel lines be perdendicular to a plane, the other will...
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Elementary Course of Geometry ...

Charles William Hackley - Geometry - 1847 - 248 pages
...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...
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Elements of Geometry and Trigonometry Translated from the French of A.M ...

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

George Roberts Perkins - Geometry - 1850 - 332 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. PROPOSITION VII. THEOREM. If one of two parallel lines is perpendicular to a plane,...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1852 - 436 pages
...of its points parallel to BC, would make with each other & 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...
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies - Geometry - 1854 - 436 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...
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