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" If one of two parallel lines is perpendicular to a plane, the other is also perpendicular to that plane. Let AB, A'B', be parallel lines, and let n s' AB be perpendicular to the plane MN; then, A'B "
A Synopsis of Elementary Results in Pure and Applied Mathematics - Página xvi
por George Shoobridge Carr - 1880
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Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - 1828 - 346 páginas
...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...
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Elements of Geometry: With Practical Applications ...

George Roberts Perkins - 1847 - 326 páginas
...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...
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Elements of Geometry: With, Practical Applications

George Roberts Perkins - 1850 - 332 páginas
...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...
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Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry ...

George Roberts Perkins - 1856 - 460 páginas
...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...
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Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry ...

George Roberts Perkins - 1860 - 474 páginas
...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...
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Treatise on Plane and Solid Geometry: For Colleges, Schools and Private ...

Eli Todd Tappan - 1864 - 288 páginas
...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...
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Treatise on Geometry and Trigonometry: For Colleges, Schools and Private ...

Eli Todd Tappan - 1868 - 438 páginas
...same plane, have the same direction ; that is, they are parallel to each other. 527. Corollary. — If one of two parallel lines is perpendicular to a plane, the other is also. 182 OBLIQUE LINE8 AND PLANE8. 529. Theorem — If from a point without a plane, a perpendicular and...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - 1871 - 380 páginas
...the plane MN of these lines is parallel to the plane M'N' (31). PROPOSITION XIV.— THEOREM. 33. IJ one of two parallel lines is perpendicular to a plane, the other is also perpendicular to that plane. Let AB, A'B', be parallel lines, and let AB be perpendicular to the plane...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - 1871 - 380 páginas
...therefore the plane MN of these lines is parallel to the plane M'N' (31). PROPOSITION XIV.— THEOREM. 33. If one of two parallel lines is perpendicular to a plane, the other 18 also perpendicular to that plane. Let AB, A'B', be parallel lines, and let AB be perpendicular to...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - 1872 - 382 páginas
...therefore the plane MN of these lines is parallel to the plane M'N' (31). PROPOSITION XIV.— THEOREM. 33. If one of two parallel lines is perpendicular to a plane, the other is also perpendicular to that plane. Let AB, A'B', be parallel lines, and let n s' AB be perpendicular to the...
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