 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....  Syllabus of Geometry - Page 29by George Albert Wentworth - 1896 - 50 pagesFull view - About this book
 | William Chauvenet - Geometry - 1871 - 380 pages
...and it is evident that there canbe but one such perpendicular plane. PROPOSITION VI.— THEOREM. 17. If from the foot of a perpendicular to a plane a straight line is drawn at right angles to any line of the plane, and its intersection with that line is joined to any point of the perpendicular, this... | |
 | Adrien Marie Legendre - Geometry - 1871 - 490 pages
...The inclination of AE is less than the inclination of any shorter line AB. PROPOSITION VI. THEOREM. If from the foot of a perpendicular to a plane, a straight line be drawn at right angles to any straight line of that plane, and the point of intersection be joined... | |
 | William Chauvenet - Mathematics - 1872 - 382 pages
...and it is evident that there can be but one such perpendicular plane. PROPOSITION VI.— THEOREM. 17. If from the foot of a perpendicular to a plane a straight line is drawn at right angles to any line of the plane, and its intersection with that line is joined to any point of the perpendicular, this... | |
 | Charles Davies - Geometry - 1872 - 464 pages
...inclination of AE is less than the inclination of any shorter line AB. • PROPOSITION VI. THEOREM. If from the foot of a perpendicular to a plane, a straight line be drawn at right angles to any straight line of that plane, and the point of intersection le joined... | |
 | Adrien Marie Legendre - Geometry - 1874 - 500 pages
...The inclination of AE is less than the inclination of any shorter line AB. PROPOSITION VI. THEOREM. If from the foot of a perpendicular to a plane, a straight line be drawn at right angles to any straight line of that plane, and the point of intersection be joined... | |
 | George Albert Wentworth - Geometry - 1877 - 436 pages
...perpendicular to this given straight line at the given point. GEOMETRY. BOOK VI. PROPOSITION VI. THEOREM. 456. If from, the foot of a perpendicular to a plane a straight line be drawn at right angles to any line of Ute plane, t/ie line drawn from its intersection with the line... | |
 | George Albert Wentworth - Geometry - 1877 - 426 pages
...to this given straight line at the given point. GEOMETRY. BOOK VI. PROPOSITION VI. THEOREM. 456. lf from the foot of a perpendicular to a plane a straight line be drawn at right angles to any line of the plane, I he hue drawn from its intersection with the line... | |
 | William Chauvenet - Geometry - 1884 - 384 pages
...it is evident that there can be but one such perpendicular plane. PROPOS1TION VI.— THEOREM. 17. Jf from the foot of a perpendicular to a plane a straight line is drawn at right angles to any line of the plane, and its intersection with that line is joined to any point of the perpendicular, this... | |
 | Charles Davies, Adrien Marie Legendre - Geometry - 1885 - 538 pages
...circumference passes through these points : then AP is the perpendicular required. PROPOSITION VI. THEOREM. If from the foot of a perpendicular to a plane, a straight line is drawt1 at right angles to any straight line of that plane, and the point of intersection joined with... | |
 | William Chauvenet, William Elwood Byerly - Geometry - 1887 - 336 pages
...given point to the given line, which is contrary to I., Proposition XVI. EXERCISES. 2. Theorem.—If from the foot of a perpendicular to a plane a straight line is drawn at right angles to any line of the plane, and its intersection with that line is joined to any point of the perpendicular, this... | |
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