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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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Essentials of Solid Geometry

David Eugene Smith - Geometry, Solid - 1924 - 256 pages
...equal distances from the foot of the perpendicular are equal; 3. Of two obliques meeting the plane at unequal distances from the foot of the perpendicular, the more remote is the longer. Given the plane m, the external point P, PO _L to m, and the obliques PA, PB, PC drawn to m...
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Plane Geometry: (Revised)

Claude Irwin Palmer, Daniel Pomeroy Taylor, Eva Crane Farnum - Geometry, Modern - 1924 - 360 pages
...are drawn from a point in a perpendicular to a given line, cutting off on the line unequal lengths from the foot of the perpendicular, the more remote is the greater. E F D Given EDLAK, and FB and FC cutting off BD and CD from D, with BD>CD. To prove that FB>FC. Proof....
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Mathematics: Course of Study for Senior and Junior High Schools

Baltimore (Md.). Department of Education - Mathematics - 1924 - 182 pages
...equal distances from the foot of the perpendicular are equal; c. of two obliques meeting the plane at unequal distances from the foot of the perpendicular, the more remote is the longer. 2. If two lines are cut by three parallel planes, their corresponding 3 . Between two lines...
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The Reorganization of Mathematics in Secondary Education (part I): A ..., Part 1

National Committee on Mathematical Requirements - Mathematics - 1927 - 208 pages
...distances from the foot of the perpendicular are equal [9]; (c) of two obliques meeting the plane at unequal distances from the foot of the perpendicular, the more remote is the longer. [9] 34. If two lines are cut by three parallel planes, their corresponding segments are proportional....
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Information Relative to the Appointment and Admission of Cadets to the ...

Military Academy, West Point - 906 pages
...regular polygon. 2 10 Theorem : Of two oblique lines drawn from the same point in a perpendicular, cutting off unequal distances from the foot of the perpendicular, the more remote is the greater. 3 12 Problem : (a) To bisect a given angle. (o) Upon a given straight line to construct a segment of...
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The Thirteen Books of Euclid's Elements

562 pages
...distances from the foot of the perpendicular are equal, and (2) of two straight lines meeting the plane at unequal distances from the foot of the perpendicular, the more remote is the greater. Lastly, it is easily seen that From a point outside a plane only one perpendicular can be drawn to...
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Plane Geometry: A Modern Text

William Weller Strader, Lawrence D. Rhoads - Geometry, Plane - 1927 - 434 pages
...from a point in ac " perpendicular to a given line, cutting off on the given line unequal segments from the foot of the perpendicular, the more remote is the greater. 25. Of two unequal lines from a point to a line, the greater cuts off the greater segment from the...
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Plane Geometry

William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Plane - 1912 - 356 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. 0 BED Given the line CZ>, AB perpendicular to CD, and BD greater than BC. To prove that AD>AC. Proof....
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Register ... Academic ... Department

1919 - 496 pages
...question. 1. Of lines drawn from the same point in a perpendicular and cutting off unequal segments from the foot of the perpendicular, the more remote is the greater. 2. Prove that a parallelogram inscribed in a circle is a rectangle. 3. Prove that the areas of two...
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