 | Eli Todd Tappan - 1873 - 288 σελίδες
...Two planes perpendicular to the game straight line are parallel to each other. *>6S. Corollary — A straight line perpendicular to one of two parallel planes is perpendicular to the other. 54M). Corollary — Every straight line in one of two parallel planes has its parallel line in the... | |
 | William Chauvenet - 1872 - 382 σελίδες
...AB, CD; therefore, the figure ABDCia a parallelogram, and AC '= BD. PROPOSITION XI— THEOREM. 27. A straight line perpendicular to one of two parallel planes is perpendicular to the other. Let MN and PQ be parallel planes, and let the straight line AB be perpendicular to PQ ; then, it will... | |
 | Edward Olney - 1872 - 562 σελίδες
...figure ABDC is a parallelogram ; whence AC = BD (?). PROPOSITION XI. 412. Theorem. — A line which, is perpendicular to one of two parallel planes, is perpendicular to the other also. •?»• ELEMENTARY SOLID GEOMETRY. M,'C' DEM.— Let AB be perpendicular to MN ; then is it perpendicular... | |
 | André Darré - 1872 - 226 σελίδες
...through B and C (139), and consequently must coincide with MN (123). THEOREM. 140. A straight tine perpendicular to one of two parallel planes is perpendicular to the other. Let MN and DE (Fig. 120) be two parallel planes, and AP a straight line perpendicular to the plane... | |
 | Aaron Schuyler - 1876 - 384 σελίδες
...whose opposite sides are equal (82). Hence, the lines are equal. 348. Proposition XII.— Theorem. A straight line perpendicular to one of two parallel planes is perpendicular to the otlier. Let MN, PQ, be parallel planes, and yr, , let AB be perpendicular to PQ ; then, , AB is perpendicular... | |
 | Edward Olney - 1879 - 502 σελίδες
...figure AB DC is a parallelogram ; whence AC = BD (?). PROPOSITION XI. 412. Theorem. — A line which is perpendicular to one of two parallel planes, is 'perpendicular to the other also. C' DEM. — Let AB be perpendicular to MN ; then is it perpendicular to PQ, parallel to MN. For, pass... | |
 | Edward Olney - 1883 - 352 σελίδες
...figure ABDC is a parallelogram; whence, AC — BD (?). PROPOSITION XIX. 490. Theorem.—A line which, is perpendicular to one of two parallel planes, is perpendicular to the other also. DEMONSTRATION. Let MN and PQ be two parallel planes, and let AB be perpendicular to PQ. Then is AB... | |
 | Evan Wilhelm Evans - 1884 - 242 σελίδες
...Cor. — The perpendicular distance between two parallel planes is everywhere the same. THEOREM III. A straight line perpendicular to one of two parallel planes is perpendicular to the other. Let MS and DP be parallel planes, and let the straight line AO be perpendicular to MS ; then it will... | |
 | William Chauvenet, William Elwood Byerly - 1887 - 331 σελίδες
...are lines in the same plane AD; therefore they are parallel. EXERCISE. PROPOSITION IX.—THEOREM. 21. A straight line perpendicular to one of two parallel planes is perpendicular to the other. Let MN and PQ be parallel planes, and let the straight line AB be perpendicular to PQ; then it will... | |
 | Samuel Edward Warren - 1887 - 200 σελίδες
...perpendicular to the axis of the cage) . 2d, A line, like the plumb-line in the last case, which is perpendicular to one of two parallel planes, is perpendicular to the other one (see also the axle of a pair of locomotive drivingwheels, which is perpendicular to the face of... | |
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A straight line perpendicular to one of two parallel planes is perpendicular to the other also. 
