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" Oblique lines drawn from a point to a plane, meeting the plane at equal distances from the foot of the perpendicular, are equal; and of two oblique lines meeting the plane at unequal distances from the foot of the perpendicular the more remote is the... "
A Treatise on Special Or Elementary Geometry - Page 161
by Edward Olney - 1877 - 239 pages
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Elements of Geometry: Including Plane, Solid, and Spherical Geometry

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...
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The First Six Books of the Elements of Euclid, with a Commentary and ...

Euclid, Dionysius Lardner - Euclid's Elements - 1828 - 542 pages
...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 perpendicular,...
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Elements of Geometry, and Plane and Spherical Trigonometry: With Numerous ...

Horatio Nelson Robinson - Geometry - 1860 - 470 pages
...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, the...
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Treatise on Plane and Solid Geometry: For Colleges, Schools and Private ...

Eli Todd Tappan - Geometry, Modern - 1864 - 288 pages
...plane, a perpendicular and oblique lines be extended to the plane, then two oblique lines which meet the plane at equal distances from the foot of the perpendicular, are equal. Let AB be perpendicular, and AC and AD oblique to the plane MN, and the distances BC and BD equal....
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Elements of Geometry, Plane and Spherical: With Numerous Practical Problems

Horatio Nelson Robinson - Geometry - 1868 - 276 pages
...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, the...
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Treatise on Geometry and Trigonometry: For Colleges, Schools and Private ...

Eli Todd Tappan - Geometry - 1868 - 432 pages
...plane, a perpendicular and oblique lines be extended to the plane, then two oblique lines which meet the plane at equal distances from the, foot of the perpendicular, are equal. Let AB be perpendicular, and AC and AD oblique to the plane MN, and the distances BC and BD equal....
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Catalogue of the Officers and Students

Trinity College (Hartford, Conn.) - 1870 - 1008 pages
...omitted.] F. 1. Two oblique lines drawn from the same point to the same straight line, cutting off equal distances from the foot of the perpendicular, are equal ; and of two oblique lines drawn from the same point to the same straight line, that is the greater which cuts...
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A Treatise on Special Or Elementary Geometry

Edward Olney - 1872 - 270 pages
...to the plane, those whichpierce the plane at equal distances from the foot of the perpendicular arc equal; and of those which pierce the plane at unequal...greater. DEM.—Let PD be a perpendicular to the plane MM, and PE, PE', PE", and PE'", be oblique lines piercing the plane at equal distances ED, E'D, E"D,...
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A Treatise on Special Or Elementary Geometry, Volumes 1-2

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 which pierce...
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Treatise on Plane and Solid Geometry for Colleges, Schools, and Private Students

Eli Todd Tappan - Geometry - 1873 - 288 pages
...plane, a perpendicular and oblique lines be extended to the plane, then two oblique lines which meet the plane at equal distances from the foot of the perpendicular, are equal. Let AB be perpendicular, and AC and AD oblique to the plane MN, and the distances BC and BD equal....
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