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" If one of two parallel lines is perpendicular to a plane, the other is also perpendicular to the plane. "
Elements of Analytic Geometry - Σελίδα 361
των Joseph Johnston Hardy - 1897 - 365 σελίδες
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Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - 1828 - 346 σελίδες
...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...

Elements of Geometry: With Practical Applications ...

George Roberts Perkins - 1847 - 326 σελίδες
...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...

Elements of Geometry: With, Practical Applications

George Roberts Perkins - 1850 - 332 σελίδες
...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...

Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry ...

George Roberts Perkins - 1856 - 460 σελίδες
...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...

Elements of Geometry, and Plane and Spherical Trigonometry: With Numerous ...

Horatio Nelson Robinson - 1860 - 470 σελίδες
...angle BFA js the inclination of the line BF to the plane ST. I THEOREM VI. If either of two parallels is perpendicular to a plane, the other is also perpendicular 'to the plane. The two parallels determine a plane which intersects the given plane in AD ; through D draw MN perpendicular...

Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry ...

George Roberts Perkins - 1860 - 472 σελίδες
...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...

Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - 1861 - 638 σελίδες
...it is their common section, A B. M PROPOSITION X. — THEOREM. 415. If one of two parallel straight lines is perpendicular to a plane, the other is also perpendicular to the same plane. Let AB, CD bo two parallel straight lines, of which AB is perpendicular to the plane MN...

Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - 1862 - 518 σελίδες
...hence, it is their common section, AB. PROPOSITION X. — THEOREM. 415. If one of two parallel straight lines is perpendicular to a plane, the other is also perpendicular to the same plane. Let AB, CD be two parallel straight lines, of which AB is perpendicular to the plane MN...

Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - 1863 - 504 σελίδες
...hence, it is their common section, AB. PROPOSITION X. — THEOREM. 415. If one of two parallel straight lines is perpendicular to a plane, the other is also perpendicular to the same plane. Let AB, CD be two parallel A straight lil1es, of which AB is perpendicular to the plane...

Treatise on Plane and Solid Geometry: For Colleges, Schools and Private ...

Eli Todd Tappan - 1864 - 288 σελίδες
...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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