 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
 | Edward Olney - Geometry - 1872 - 472 pages
...perpendiculars EF and A'B' which shall be perpendicular to PD, through D. PROPOSITION TI. 399. Theorem. — If from the foot of a perpendicular to a plane a line be drawn at right angles to any line of the plane, and this 'Intersection be joined with any point... | |
 | Edward Olney - Geometry - 1872 - 562 pages
...perpendiculars EF and A'B' which shall be perpendicular to PD, through D. PROPOSITION VI. 399. Theorem. — If from the foot of a perpendicular to a plane a line be drawn at right angles to any line of the plane, and this intersection be joined with any point in... | |
 | William Guy Peck - Conic sections - 1876 - 376 pages
...plane; and of two unequal lines, the less line has the greater inclination. PROPOSITION V. THEOREM. If from the foot of a perpendicular to a plane, a line is drawn perpendicular to any line of the plane, and if the point of intersection is joined with any point of... | |
 | William Guy Peck - Conic sections - 1876 - 412 pages
...plane; and of two unequal lines, the less line has the greater inclination. PROPOSITION V. THEOREM. If from the foot of a perpendicular to a plane, a line fs drawn perpendicular to any line of the plane, and if the point of intersection is joined with any... | |
 | Edward Olney - Geometry - 1883 - 344 pages
...but one plane perpendicular to PG and passing through DQED 222. PROPOSITION VIII. 458. Theorem.—// from the foot of a perpendicular to a plane a line is drawn at right angles to any line of the plane, and their intersection is joined with any point in the perpendicular, the last line is... | |
 | Alfred Hix Welsh - Geometry - 1883 - 326 pages
...(See Th. IT, Sch.). 4. To erect a perpendicular to a plane from a point within the plane. THEOREM IV. If from the foot of a perpendicular to a plane, a line be drawn at right angles to any line of the plane, and this point of intersection be joined with any... | |
 | Webster Wells - Geometry - 1886 - 392 pages
...foot of the perpendicular drawn from the point to the plane. PROPOSITION V. THEOREM. 441. 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... | |
 | Edward Albert Bowser - Geometry - 1890 - 420 pages
...J_ plane. . i Proposition 5. Theorem. 607. If from the foot of a perpendicular to a plane a straight line is drawn at right angles to any line in the plane, and its intersection with that line is joined to any point of the perpendicular, this last line will... | |
 | Arthur Latham Baker - Geometry, Solid - 1893 - 154 pages
...carpenter's squares? PROPOSITION IV. THEOREM. 29. // from tJie foot of a perpendicular to a plane a straight line is drawn at right angles to any line in the plane, and its intersection with that line is joined to any point of the perpendicular, this last line will... | |
 | Webster Wells - 1894 - 172 pages
...398.) Also, AD is perpendicular to DF. [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... | |
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