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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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Solid Geometry, Volumes 6-9

George Albert Wentworth - Geometry, Solid - 1899 - 246 pages
...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 greater. Let AC and AD cut off the equal distances BC and BD from the foot of the perpendicular AB, and let AD and...
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The Essentials of Geometry

Webster Wells - Geometry - 1899 - 424 pages
...cutting off equal distances from the foot of the perpendicular from the point to the line are equal. II. Of two oblique lines cutting off unequal distances from the foot of the perpendicular from the point to the line, the more remote is the greater. C To Prove CE = CF. Proof. By hyp., CD...
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Plane Geometry

William James Milne - Geometry, Modern - 1899 - 258 pages
...distances from the foot of the perpendicular are equal. 2. Of oblique lines which meet the given line at unequal distances from the foot of the perpendicular the more remote is the greater. Data : Any straight line, as AB ; any perpendicular to AB, as PD ; and any point in PD, as C, from...
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Syllabus of Propositions in Geometry: Intended for Use in Preparing Students ...

Harvard University - Geometry - 1899 - 39 pages
...foot of the perpendicular drawn from the point to the line, they are equal. If they meet the line at unequal distances from the foot of the perpendicular, the more remote is the greater. THEOREM XIII. If two right triangles have the hypotenuse and a side of one respectively equal to the...
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Solid Geometry, Volumes 6-9

George Albert Wentworth - Geometry, Solid - 1899 - 248 pages
...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 greater. •N Let AC and AD cut off the equal distances BC and BD from the foot of the perpendicular AB, and...
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Plane Geometry

George Albert Wentworth - Geometry, Modern - 1899 - 272 pages
...drawn from the same point in a perpendicular to a given line, cutting off on the line unequal segments from the foot of the perpendicular, the more remote is the greater Let OC be perpendicular to AB, OG and OE two straight lines to AB, and CE greater than CG. To prove that...
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The Essentials of Geometry

Webster Wells - Geometry - 1899 - 450 pages
...DF. If we suppose DE > DF, CE would be > CF. [If oblique lines be drawn from a point to a str. line, of two oblique lines cutting off unequal distances from the foot of the _L from the point to the line, the more remote is the greater.] (§ 49) But this is contrary to the...
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The Essentials of Geometry

Webster Wells - Geometry - 1899 - 180 pages
...plane through its foot.] (§398) .-. AE>AF. [If oblique lines be drawn from a point to a str. line, of two oblique lines cutting off unequal distances from the foot of the J. from the point to the line, the more remote is the greater. ] (§ 49, II) .-. AE>AC. PKOP. VI. THEOREM....
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Plane Geometry

George Albert Wentworth - Geometry, Plane - 1899 - 276 pages
...drawn from the same point in a perpendicular to a given line, cutting off on the line unequal segments from the foot of the perpendicular, the more remote is the greater. E Let OC be perpendicular to AB, OG and OE two straight lines to AB, and CE greater than CG. To prove...
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Plane and Solid Geometry

George Albert Wentworth - Geometry - 1899 - 496 pages
...drawn from the same point in a perpendicular to a given line, cutting off on the line unequal segments from the foot of the perpendicular, the more remote is the greater E\ F\ ic a \ \ Let OC be perpendicular to AB, O6 and OE two straight lines to AB, and CE greater than...
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