 | Arkansas. State Department of Public Instruction - Education - 1900 - 236 pages
...nonparallel sides of a trapezoid is parallel to the bases and is equal to one-half their sum. 7. In the same circle, or in equal circles, equal chords are equally distant from the center; conversely, chords equally distant from the center are equal. 8. To describe upon a given straight... | |
 | Edward Brooks - Geometry, Modern - 1901 - 278 pages
...There can be but one point equally distant from three other points. PROPOSITION X. — THEOREM. In the same circle, or in equal circles, equal chords are equally distant from the centre, and CONVERSELY. Given.— In the circle ADB let the chords AB and CD be equal. To Prove. — Then we... | |
 | Arthur Schultze - 1901 - 260 pages
...184. COR. 4. Two circumferences cannot meet in more thsji two points. PROPOSITION V THEOREM 185. In the same circle, or in equal circles, equal chords are equally distant from the center; and, conversely, chords equally distant from the center are equal. B Hyp. —InO^-BCD: D chord... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 396 pages
...center of a given circle. Ex. 318. To find the midpoint of a given arc. PROPOSITION V THEOREM 185. In the same circle, or in equal circles, equal chords are equally distant from the center; and, conversely, chords equally distant from the center are equal. D Hyp. — InOABCZ): chord... | |
 | Alan Sanders - Geometry, Modern - 1901 - 260 pages
...of these arcs, prove that it is perpendicular to AB and bisects it. PROPOSITION X. THEOREM 283. In the same circle or in equal circles equal chords are equally distant from the center; and conversely, chords that are equally distant from the center are equal. Let AB and CD be... | |
 | Arthur Schultze - 1901 - 392 pages
...184. COR. 4. Two circumferences cannot meet in more than two points. PROPOSITION V THEOREM 185. In the same circle, or in equal circles, equal chords are equally distant from the center ; and, conversely, chords equally distant from the center are equal. Hyp. — InOABC£>: chord... | |
 | George Albert Wentworth - Geometry, Solid - 1902 - 246 pages
...subtended by equal chords; and of two unequal arcs the greater is subtended by the greater chord. 249. In the same circle or in equal circles, equal chords are equally distant from the centre. CONVERSELY : Chords equally distant from the centre are equal. 253. A straight line perpendicular to... | |
 | Education - 1902 - 780 pages
...following and prove 'division one of them : if two parallels are cut by a transversal . . . 2 Prove that in the same circle or in equal circles equal chords are equally distant from the center. 3 Prove that if a line is drawn through two sides of a triangle parallel to the third side,... | |
 | Education - 1902 - 880 pages
...and prove •division one of them : if two parallels are cut by a transversal . . . 2 Prove that in the same circle or in equal circles equal chords are equally distant from the center. 3 Prove that if a line is drawn through two sides of a triangle parallel to the third side,... | |
 | Alan Sanders - Geometry - 1903 - 396 pages
...of these arcs, prove that it is perpendicular to AB and bisects it. PROPOSITION X. THEOREM 283. In the same circle or in equal circles equal chords are equally distant from the center; and conversely, chords that are equally distant from the center are equal. Let AB and CD be... | |
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In the same circle or in equal circles, equal chords are equally distant from the center; and conversely. 
