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" ... meeting the plane at unequal distances from the foot of the perpendicular the more remote is the greater. "
A Text-book of Geometry - Page 36
by George Albert Wentworth - 1892 - 437 pages
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Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1877 - 416 pages
...of the inequality. We have С A + С B > 0 A + 0 B. GEOMETRY. BOOK I. PROPOSITION VI. THEOREM. 55. Of two oblique lines drawn from the same point in...the perpendicular , the more remote is the greater. С Let С F be perpendicular to AB, and С К and СH two oblique lines cutting off unequal distances...
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Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1877 - 426 pages
...take away OE from each side of the inequality. We have СA + СB>OA + OB. PROPOSITION VI. THEOREM. 55. Of two oblique lines drawn from the same point in...unequal distances from the foot of the perpendicular, l/ie more remote is Ihe greater. С Let С F be perpendicular to AB, and С K and СН two oblique...
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Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1877 - 436 pages
...each side of the inequality. We have CA + CB>OA + OB. GEOMETRY. BOOK t PROPOSITION VI. THEOREM. 55. Of two oblique lines drawn from the same point in...perpendicular, cutting off unequal distances from the foot of lhe perpendicular, the more remote is the greater. С Let С F be perpendicular to AB, and С K and...
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Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1877 - 416 pages
...inequality. We have С A + CB>OA + OB. PROPOSITION VI. THEOREM. 55. Of two oblique lines drawn from Ihe »ame point in a perpendicular, cutting off unequal distances...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

William Henry Harrison 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 - 1881 - 266 pages
...from each side of the inequality. We have С A + С B > 0 A + 0 B. QED PROPOSITION VI. THEOREM. 55. Of two oblique lines drawn from the same point in a perpendicular, cutling off unequal distances from thefoot of the perpendicular, the more remote is the greater. С...
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Elements of Geometry

George Albert Wentworth - Geometry, Modern - 1882 - 268 pages
...side of the inequality. We Lavo CA + CB>OA + 0 B. QED GEOMETEY. - BOOK I. PROPOSITION VI. THEOREM. 55. Of two oblique lines drawn from the same point in...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
...CA+CB>OA + OB. GEOMETRY. — BOOK I. PROPOSITION VI. THEOREM. 55. Of two oblique lines drawn from Ihe same point in a perpendicular, cutting off unequal...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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