 If from the foot of a perpendicular to a plane a straight line is drawn at right angles to any line in the plane, the line drawn from its intersection with the line in the plane to any point of the perpendicular is perpendicular to the line of the plane.  Solid Geometry - Page 326by Clara Avis Hart, Daniel D. Feldman, Virgil Snyder - 1912 - 188 pagesFull view - About this book
 | George Cunningham Edwards - Geometry - 1895 - 328 pages
...perpendicular to a third plane, their line of intersection will be perpendicular to that plane. 112. THEOREM. If from the foot of a perpendicular to a plane, a line be drawn in the plane perpendicular to any line of the plane, and if its intersection with this line... | |
 | John Macnie - Geometry - 1895 - 386 pages
...perpendicular at its mid point to the straight line joining the given points. PROPOSITION VII. THEOREM. 441. If from the foot of a perpendicular to a plane a line be drawn at right angles to any line in the plane, and the foot of this lie joined with any point in... | |
 | George Albert Wentworth - Mathematics - 1896 - 68 pages
...perpendicular to the plane of the circle. 481. If from the foot of a perpendicular to a plane a straight line is drawn at right angles to any line in the plane, the line drawn from its intersection with the line in the plane to any point of the perpendicular is perpendicular to trie... | |
 | James Howard Gore - Geometry - 1898 - 232 pages
...its arms as an axis, the other arm will generate a plane. PROPOSITION IV. THEOREM. 344. If through the foot of a perpendicular to a plane a line is drawn...angles to any line in the plane, the line drawn from its intersection with this line to any point in the perpendicular will be perpendicular to the line... | |
 | George Albert Wentworth - Geometry - 1899 - 496 pages
...and B. § 160 PROPOSITION VI. THEOREM. 518. If from the foot of a perpendicular to a plane a straight line is drawn at right angles to any line in the plane, the line drawn from its intersection with the line in the plane to any point of the perpendicular is perpendicular to the... | |
 | George Albert Wentworth - Geometry, Solid - 1899 - 248 pages
...and B. § 160 PROPOSITION VI. THEOREM. 518. If from the foot of a perpendicular to a plane a straight line is drawn at right angles to any line in the plane, the line drawn from its intersection with the line in the plane to any point of the perpendicular is perpendicular to the... | |
 | William James Milne - Geometry - 1899 - 398 pages
...is drawn at right angles to any straight line in the plane, the line drawn from the point of meeting to any point in the perpendicular is perpendicular to the line of the plane. Data: A perpendicular c to the plane MN, as CD; any straight line in MN, as EF; DG perpendicular to... | |
 | Webster Wells - Geometry - 1899 - 450 pages
...to the pupil.) PROP. VII. THEOREM. 408. If through the foot of a perpendicular to a plane a line be drawn at right angles to any line in the plane, the line drawn from its intersection with this line to any point in the perpendicular will be perpendicular to the line... | |
 | Webster Wells - Geometry - 1899 - 180 pages
...to the pupil.) PROP. VII. THEOREM. 408. If through the foot of a perpendicular to a plane a line be drawn at right angles to any line in the plane, the line drawn from its intersection with this line to any point in the perpendicular will be perpendicular to the line... | |
 | Thomas Franklin Holgate - Geometry - 1901 - 462 pages
...parallel. (Art. 90.) 406. COROLLARY I. If from the foot of a given perpendicular to a plane, a straight line is drawn at right angles to any line in the plane, any line through their intersection, which meets the given perpendicular, is at right angles to the... | |
| |
