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" A straight line perpendicular to one of two parallel planes is perpendicular to the other also. "
Plane and Solid Geometry - Σελίδα 250
των Arthur Schultze, Frank Louis Sevenoak - 1902 - 370 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - 1830 - 272 σελίδες
...parallel. It is evident that parallel circles have the same axis and poles ; for a straight line which is perpendicular to one of two parallel planes is perpendicular to the other likewise (IV. 11.). It may also be observed that two parallel circles cannot both of them pa.ss through...

Library of Useful Knowledge: Geometry, plane, solid, and spherical [by ...

1835
...parallel. It is evident that parallel circles have the same axis and poles ; for a straight line which is perpendicular to one of two parallel planes is perpendicular to the other likewise (IV. H.). It may also be observed that two parallel circles cannot both of them pass through...

Elements of Geometry: With Practical Applications ...

George Roberts Perkins - 1847 - 308 σελίδες
...would also meet ; therefore the planes would not be parallel. PROPOSITION XI. THEOREM. A li?ie which is perpendicular to one of two parallel planes, is perpendicular to the other also. Let the two planes MN & PQ A / • . TL• be parallel ; then if the line AB is perpendicular to the...

An elementary course of mathematics, Τόμος 2

Samuel Hunter Christie - 1847
...therefore EF is parallel to GH : which was to be proved. PROP. XXVIII. THEOR. A straight line which is perpendicular to one of two parallel planes is perpendicular to the other. Let the straight line AB (fig. 32) be perpendicular to MN, one of the two parallel planes MN, PQ; AB...

Elements of Geometry: With, Practical Applications

George Roberts Perkins - 1850 - 320 σελίδες
...would also meet therefore the planes would not be parallel. PROPOSITION XI. THEOREM. A line which is perpendicular to one of two parallel planes, is perpendicular to the other also. PQ be parallel; then if the line N L. Let the two planes MN and / ^ 7" AB is perpendicular to the plane...

The Elements of Astronomy, Or, The World as it Is, and as it Appears

Anna Cabot Lowell - 1850 - 376 σελίδες
...their planes parallel. Parallel circles have the same axis and poles ; for a straight line which is perpendicular to one of two parallel planes is perpendicular to the other likewise. Two parallel circles cannot both of them pass through the centre of the sphere ; that is,...

PLANE AND SOLID GEOMETRY

GEORGE R. PERKINS - 1856
...situated, would also meet, and the planes would not be parallel. FIFTH BOOK. THEOREM XI. A line which is perpendicular to one of two parallel planes, is perpendicular to the other also. Let the two planes MN" and PQ be / — ^M parallel ; then if the line AB is perpen- /_ dicular to the...

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

Eli Todd Tappan - 1864 - 276 σελίδες
...Two planes perpendicular to the same straight line are parallel to each other. 568. Corollary. — A straight line perpendicular to one of two parallel planes is perpendicular to the other. 569. Corollary. — Every straight line in one of two parallel planes has its parallel line in the...

Treatise on Geometry and Trigonometry: For Colleges, Schools and Private ...

Eli Todd Tappan - 1868 - 420 σελίδες
...— Two planes perpendicular to the same straight line are parallel to each other. 568. Corollary — A straight line perpendicular to one of two parallel planes is perpendicular to the other. 569. Corollary. — Every straight line in one of two parallel planes has its parallel line in the...

A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - 1871 - 368 σελίδες
...CD; . therefore, the figure ABDC is 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...




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