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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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Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1877 - 416 pages
...OB. PROPOSITION VI. THEOREM. 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 Plane and Solid Geometry

George Albert Wentworth - Geometry - 1877 - 416 pages
...distances from the foot of the perpendicular are equal ; and of two oblique lines unequally distant from the foot of the perpendicular the more remote is the greater. Iden. IIypLet the oblique lines BC, BD, and BE, be drawn at equal distances, AC, AD, and AE, from the...
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Elements of Geometry and the First Principles of Modern Geometry

Wm. H. H. Phillips - Geometry - 1878 - 236 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. 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 - 332 pages
...from the foot of the 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 - 1879 - 262 pages
...QED PROPOSITION VI. THEOREM. 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. C B E Let CF be perpendicular to AB, and CK and CH two oblique lines cutting off unequal distances...
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Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1884 - 426 pages
...I. PROPOSITION VI. THEOREM. 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 - 226 pages
...given straight line. 5. 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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Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1885 - 424 pages
...distances from the foot of the perpendicular are equal; and of two oblique lines unequally distant from the foot of the perpendicular the more remote is the greater. Let the oblique lines BC, BD, and BE, be dravrn at equal distances, AC, AD, and AE, from the foot of the perpendicular...
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Chauvenet's Treatise on Elementary Geometry

William Chauvenet, William Elwood Byerly - Geometry - 1887 - 342 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. 2. Theorem. — Equal oblique lines from a point to a plane meet the plane at equal distances from...
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Chauvenet's Treatise on Elementary Geometry

William Chauvenet - Geometry - 1887 - 331 pages
...whatever. PROPOSITION XXL—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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