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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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Chauvenet's Treatise on Elementary Geometry

William Chauvenet - Geometry - 1887 - 364 pages
...PROPOSITION XXI. If two oblique lines drawn from a point to a line meet the line at unequal'distances from the foot of the perpendicular, the more remote is the greater. PROPOSITION XXII. Two straight lines perpendicular to the same straight line are parallel. PROPOSITION...
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A Text-book of Geometry

George Albert Wentworth - Geometry - 1888 - 264 pages
...„. PROPOSITION XX. THEOREM. 119. 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 tfie greater. F C 0 D Let OC be perpendicular to AB, OG and OE two oblique lines to AB, and CE greater...
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A Text-book of Geometry

George Albert Wentworth - Geometry, Analytic - 1889 - 264 pages
...ED PROPOSITION XX. THEOREM. 119. 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. 0 E\ F\ ;CG D Let OC be perpendicular to AB, OG and OE two oblique lines to AB, and CE greater than...
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The Elements of Plane and Solid Geometry ...

Edward Albert Bowser - Geometry - 1890 - 418 pages
...distances from the foot of the perpendicular are equal. (2) Of two oblique lines meeting the plane at unequal distances from the foot of the perpendicular, the more remote is the longer. Hyp. Let OP be J_ to the plane MN, and PA = PB, and PC > PA. To prove (1) OA = OB, and (2)...
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Elementary Geometry

William Chauvenet - 1893 - 340 pages
...PROPOSITION XXI.—THEOBEM. 40. If two oblique lines drawn from a point to a line meet the line at unequal distances from the foot of the perpendicular, the more remote is the greater. 1st. If the lines lie on the same side of the perpendicular. Let PC be the perpendicular and PD and...
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An Examination Manual in Plane Geometry

George Albert Wentworth, George Anthony Hill - Geometry - 1894 - 150 pages
...line, two oblique lines cutting off equal distances from the foot of the perpendicular are equal; and of two oblique lines cutting off unequal distances...the perpendicular the more remote is the greater. 2. The straight line joining the middle points of the non-parallel sides of a trapezoid is parallel...
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The Elements of Geometry

Webster Wells - Geometry - 1894 - 400 pages
...equal distances from the foot of the perpendicular from the point to the plane are equal. II. Of tivo oblique lines cutting off unequal distances from the...the perpendicular, the more remote is the greater. I. Let the oblique lines AC and AD meet the plane MN at equal distances from the foot of the perpendicular...
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The Elements of Geometry

Webster Wells - Geometry - 1894 - 400 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, the more remote us the greater. Q AEDFD I. Let CD be the perpendicular from C to AB. Let CE and CF be oblique lines...
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Plane and Solid Geometry: Suggestive Method

Charles Ambrose Van Velzer, George Clinton Shutts - Geometry - 1894 - 522 pages
...the foot of the perpendicular, are equal. III. Of two oblique lines meeting the given line at nnequal distances from the foot of the perpendicular, the more remote is the greater. PROPOSITION XXXIII. CONVERSE OF PROP. XXXII, I. The shortest line from a point to a line is a perpendicular...
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Annual Report Transmitted, Volume 41, Issue 2

1895 - 786 pages
...performance. Geometry. 1. Prove: 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. S. (a) State three special cases when right triangles are equal. (6) State two cases when triangles...
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