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" ... meeting the plane at unequal distances from the foot of the perpendicular the more remote is the greater. "
The Elements of Solid Geometry - Page 9
by William C. Bartol - 1893 - 95 pages
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Plane Geometry

Webster Wells, Walter Wilson Hart - Geometry, Plane - 1915 - 330 pages
...the line. 165. Cor. 3. If two oblique segments, drawn from a point in a perpendicular to a line, cut off unequal distances from the foot of the perpendicular, the more remote is the greater. l Hyp. CD -i. AB ; ED> DF. Con. CE > CF. Sur/rjcstions. — 1. Take DH= DF, and draw CH. 2. Prove CH=...
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Plane and Solid Geometry

Webster Wells, Walter Wilson Hart - Geometry - 1916 - 490 pages
...the line. 165. Cor. 3. If two oblique segments, drawn from a point in a perpendicular to a line, cut off unequal distances from the foot of the perpendicular, the more remote is the greater. B EH D .F Hyp. CD±AB; ED> DF. Con. CE> CF. Suggestions. — 1. Take DH = DF, and draw CH. 2. Prove...
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Solid Geometry

John Charles Stone, James Franklin Millis - Geometry, Solid - 1916 - 196 pages
...the perpendicular from the point, are equal ; (2) of two oblique line-segments meeting the plane at unequal distances from the foot of the perpendicular, the more remote is the greater. Hypothesis. Line AB is perpendicular to plane MN, meeting MN at B ; oblique line-segments from A meet...
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Plane and Solid Geometry

William Betz - Geometry - 1916 - 536 pages
...from the same point in a perpendicular to a given line and cutting off on the line unequal segments from the foot of the perpendicular, the more remote is the greater. A CBED Given the line CD, AB perpendicular to CD, and BD greater than BC. To prove that AD>AC. Proof....
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Solid Geometry

William Betz, Harrison Emmett Webb - Geometry, Solid - 1916 - 214 pages
...from the same point in a perpendicular to a given line and cutting off on the line unequal segments from the foot of the perpendicular, the more remote is the greater. 239. All points in the perpendicular bisector of a line are equidistant from the extremities of the...
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Plane and Solid Geometry

Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry - 1918 - 460 pages
...those that cut off equal distances from the foot of the perpendicular are equal, and of those that cut off unequal distances from the foot of the perpendicular, the more remote is the greater. 685. Theorem. The acute angle that a straight line makes with its projection upon a plane is the least...
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Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1918 - 486 pages
...equal distances from the foot of the perpendicular are equal. (2) Of two lines meeting the plane at unequal distances from the foot of the perpendicular, the more remote is the greater. Given EA perpendicular to plane MN. Oblique lines EB, EC, and ED are drawn so that AB = AC and AD >...
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Plane Geometry

Mabel Sykes, Clarence Elmer Comstock - Geometry, Modern - 1918 - 576 pages
...point in a perpendicular to a straight line two oblique segments are drawn cutting the straight line at unequal distances from the foot of the perpendicular, the more remote is the greater. C' O FIG. 193 Hypothesis: AO ± line / and the oblique segments AB and AC are so drawn that OB>OC....
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Solid Geometry

Claude Irwin Palmer - Geometry, Solid - 1918 - 192 pages
...those that cut off equal distances from the foot of the perpendicular are equal, and of those that cut off unequal distances from the foot of the perpendicular, the more remote js the greater. 585. Theorem. The acute angle that a straight line makes with its projection upon a...
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Solid Geometry

Charles Austin Hobbs - Geometry, Solid - 1921 - 216 pages
...perpendicular drawn from the point to the plane, they are equal; and if two oblique lines meet the plane at unequal distances from the foot of the perpendicular, the more remote is the greater. Hypothesis. AB is J- to the plane MN, and the oblique lines AC, AD, and AE are so drawn that BC ='BD,...
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