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" ... meeting the plane at unequal distances from the foot of the perpendicular the more remote is the greater. "
Plane Geometry - Page 23
by George Albert Wentworth - 1899 - 256 pages
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Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1877 - 416 pages
...55. Of two oblique lines drawn from Ihe ťame point in a perpendicular, cutting off unequal distances from the foot of the perpendicular , the more remote is the greater. C Г • E Let С F be perpendicular to AB, and CK and С Н two oblique lines cutting off unequal...
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Elements of Geometry: And the First Principles of Modern Geometry

William Henry Harrison Phillips - Geometry - 1878 - 236 pages
...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. HYPOTH. 1. AB1MN, and BC = BD = BE, = , &c. ELEMENTS OF GEOMETRY. [BOOK V. PROOF. A ABC ^ ABD ^ ABE...
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A Geometry for Beginners

George Anthony Hill - Geometry - 1880 - 348 pages
...perpendicular let fall from the point are equal ; and that of two lines drawn to unequal distances from the foot of the perpendicular, the more remote is the greater. 6. Prove the converse of the first part of the last exercise. 7. Find the locus of points in a plane...
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Elements of Geometry

George Albert Wentworth - Geometry, Modern - 1882 - 268 pages
...55. 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. С E Let С F be perpendicular to AB, and С К and СH two oblique lines cutting oil unequal distances...
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Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1884 - 422 pages
...55. Of two oblique lines drawn from Ihe same point in a perpendicular, cutting off unequal distances from the foot of the . perpendicular ', the more remote is the greater. Let CF be perpendicular to AB, and С K and СH two oblique lines cutting oil unequal distances from F....
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Annals of Mathematics

Electronic journals - 1902 - 232 pages
...If oblique lines drawn from a point in a perpendicular to a straight line cut off unequal distances from the foot of the perpendicular, the more remote is the greater. To prove our theorem it is sufficient to prove that if the triangle ABC is not isosceles, the lines...
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The Elements of Geometry

Webster Wells - Geometry - 1886 - 392 pages
...from the foot of the perpendicular are equal. II. Of two oblique lines cutting off unequal distances from the foot of 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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Chauvenet's Treatise on Elementary Geometry

William Chauvenet - Geometry - 1887 - 342 pages
...XXI.— THEOREM. 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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Chauvenet's Treatise on Elementary Geometry

William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 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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The Elements of Solid Geometry

William C. Bartol - Geometry, Solid - 1893 - 106 pages
...from the foot of the perpendicular are equal. (c). Of two oblique lines cutting off unequal distances from the foot of the perpendicular, the more remote is the greater. Let the line AE be drawn from A, perpendicular to the plane MN, meeting it at any point B. Let the points...
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