 | George Washington Hull - Geometry - 1807 - 408 pages
...perpendicular is shorter than any one of the oblique lines. 2. Oblique lines drawn from the point, meeting the plane at equal distances from the foot of the perpendicular, are equal. 3. Of two oblique lines drawn from the point, the one meeting the plane at the greater distance from... | |
 | Euclid, Dionysius Lardner - Euclid's Elements - 1828 - 542 pages
...the angle which a line makes with the perpendicular, the greater the line is, and vice versa. 4°. Lines which meet the plane at equal distances from the foot of the perpendicular are equal, and vice versa. 5°. The more distant the point where a line meets the plane is from the foot of the... | |
 | Horatio Nelson Robinson - Geometry - 1860 - 470 pages
...point of a perpendicular to a plane, oblique lines be drawn to different points in the plane, those oblique lines which meet the plane at equal distances from the foot of the perpendicular are equal ; and those which meet the plane at unequal distances from the foot of the perpendicular are unequal,... | |
 | Adrien Marie Legendre - Geometry - 1863 - 464 pages
...different points of the plane : • 1°. The perpendicular will be shorter than any oblique line : 2°. Oblique lines which meet the plane at equal distances from the foot of the perpendicular, will be equal: 3.° Of two oblique lines which meet the plane at unequal distances from the foot of... | |
 | Eli Todd Tappan - Geometry, Modern - 1864 - 288 pages
...perpendicular to the same plane, have the same direction ; that is, they are parallel to each other. 537. Corollary — If one of two parallel lines is perpendicular...the distances BC and BD equal. Then the triangles ABG and ABD are equal (284), and AC is equal to AD. 530. Corollary. — A perpendicular is the shortest... | |
 | Horatio Nelson Robinson - Geometry - 1868 - 276 pages
...point of a perpendicular to a plane, oblique lines be drawn to different points in the plane, those oblique lines which meet the plane at equal distances from the foot of the perpendicular are equal; and those which meet the plane at unequal distances from the foot of the perpendicular are unequal,... | |
 | Edward Brooks - Geometry - 1868 - 284 pages
...1. The perpendicular will be shorter than any oblique line. 2. Any two oblique lines which terminate at equal distances from the foot of the perpendicular are equal. Let C be a given point, and AD a given line, CE a perpendicular, and CA, CB, and CD, oblique lines; then,... | |
 | Charles Davies - Geometry - 1872 - 464 pages
...different points of the plane : 1°. The perpendicular will be shorter than any oblique line: 2°. Oblique lines which meet the plane at equal distances from the foot of the perpendicular, will be equal: 8.° Of two oblique lines which meet the plane at unequal distances from the foot of... | |
 | Edward Olney - Geometry - 1872 - 472 pages
...from any point in a perpendicular to a plane, oblique lines be drawn to the plane, those which pierce the plane at equal distances from the foot of the perpendicular are equal; and of those which pierce the plane at unequal distances from the foot of the perpendicular, those... | |
 | Edward Olney - Geometry - 1872 - 562 pages
...from any point in a perpendicular to a plane, oblique lines be drawn to the plane, those which pierce the plane at equal distances from the foot of the perpendicular are equal; and of those lohich pierce the plane at unequal distances from the foot of the perpendicular, those... | |
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... the plane at equal distances from the foot of the perpendicular, are equal... 
