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" Two oblique lines cutting off equal distances from the foot of the perpendicular are equal. "
Elements of Geometry - Page 56
by Andrew Wheeler Phillips, Irving Fisher - 1896
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Catalogue of the Officers and Students

Trinity College (Hartford, Conn.) - 1870 - 1008 pages
...three may be omitted.] F. 1. Two oblique lines drawn from the same point to the same straight line, cutting off equal distances from the foot of the perpendicular, are equal ; and of two oblique lines drawn from the same point to the same straight line, that is the greater...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Geometry - 1871 - 380 pages
...points. PROPOSITION VII.— THEOREM. 30. Two oblique lines drawn from the same point to a straight line, cutting off equal distances from the foot of the perpendicular, are equal. Let the oblique lines PD, PE, meet the line AB in the points D and E, cutting off the equal distances...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Mathematics - 1872 - 382 pages
...points. PROPOSITION VII.— THEOREM. 30. Two oblique lines drawn from the same point to a straight line, cutting off equal distances from the foot of the perpendicular, are equal. Let the oblique lines PD, PE, meet the line AB in the points D and E, cutting off the equal distances...
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Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1877 - 426 pages
...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 a perpendicular, cutting off unequal distances from the foot of the perpendicular, l/ie more remote is Ihe greater. С Let С F...
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An Elementary Geometry: Plane, Solid, and Spherical : with Numerous ...

William Frothingham Bradbury - Geometry - 1877 - 262 pages
...drawn to this line, 1st. The perpendicular is shorter than any oblique line. 2d. Any two oblique lines cutting off equal distances from the foot of the perpendicular are equal. 3d. Of two oblique lines the more remote is the greater. Let A be the given point, BO the given line,...
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An Elementary Geometry: Plane, Solid and Spherical

William Frothingham Bradbury - Geometry - 1880 - 260 pages
...drawn to this line, 1st. The perpendicular is shorter than any oblique line. 2d. Any two oblique lines cutting off equal distances from the foot of the perpendicular are equal. 3d. Of two oblique lines the more remote is the greater. Let A be the given point, BC the given line,...
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Elements of Geometry

George Albert Wentworth - Geometry, Modern - 1881 - 266 pages
....-. C0< CF. a. E. о. GEOMETRY. BOOK. I. PROPOSITION IV. THEOREM. 53. Two oblique lines drawn from a point in a perpendicular, cutting off equal distances from the foot of the perpendicular, are equal. Let F С be the perpendicular, and С A and С 0 two oblique lines cutting off equal distances from...
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Elements of Geometry

George Albert Wentworth - Geometry, Modern - 1882 - 268 pages
...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 a perpendicular, cutting off unequal distances from the foot of the perpendicular, the more remote is the greater. С E Let С F...
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A Grammar Shcool Arithmetic

George Albert Wentworth - Arithmetic - 1886 - 392 pages
...CD equal to DF, it follows that, 344. Two oblique lines drawn from a point in a perpendicular, and cutting off equal distances from the foot of the perpendicular, are equal. 345. If two equal oblique lines are drawn from a point in a perpendicular , they cut off equal distances...
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The Elements of Geometry

Webster Wells - Geometry - 1886 - 392 pages
...PROPOSITION IV. THEOREM. 438. If oblique lines are drawn from a point to a plane, I. Two oblique lines cutting off equal distances 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...
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