 | Webster Wells - Geometry - 1898 - 264 pages
...arc is perpendicular to the chord. A, (By § 158, chord AC = chord BC.) ' PROP. X. THEOREM. 164. In the same circle, or in equal circles, equal chords...distant from the centre. Given AB and CD equal chords of O ABC, whose centre is 0, and lines OE and OF J. to AB and CD, respectively. To Prove OE = OF. (§... | |
 | Webster Wells - Geometry - 1899 - 450 pages
...subtended arc is perpendicular to the chord. (By § 158, chord AC = chord BC.) PROP. X. THEOREM. 164. In the same circle, or in equal circles, equal chords...distant from the centre. Given AB and CD equal chords of O ABC, whose centre is O, and lines OE and OF _L to AB and CD, respectively. To Prove OE = OF. (§... | |
 | Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...without the line. Proposition 1O6. Problem. 139. To bisect a given arc. Proposition 1O7. Theorem. 140. In the same circle, or in equal circles, equal chords are equally distant from the centre, Hypothesis. In the QABD, chord AB = chord CD, and EF and EG are the _L distances from the centre to... | |
 | George Albert Wentworth - Geometry, Modern - 1899 - 272 pages
...bisects a chord which is not itself a diameter is perpendicular to it. PROPOSITION VI. THEOREM. 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. Let AB and CF be equal chords of the... | |
 | George Albert Wentworth - Geometry, Solid - 1899 - 248 pages
...angle. 245. A diameter perpendicular to a chord bisects the chord and the arcs subtended by it. 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... | |
 | George Albert Wentworth - Geometry - 1899 - 496 pages
...bisects a chord is perpendicular to it. 82 ARCS, CHORDS, AND TANGENTS. PROPOSITION VI. THEOREM. 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. Let AB and CF be equal chords of the... | |
 | Harvard University - Geometry - 1899 - 39 pages
...the straight line joining their centres bisects at right angles their common chord. THEOREM IX. In the same circle or in equal circles, equal chords are equally distant from the centre ; and of two unequal chords the less is at the greater distance from the centre. Conversely, in the... | |
 | Webster Wells - Geometry - 1899 - 424 pages
...arc is perpendicular to the chord. A, (By § 158, chord AC = chord BC.) ' PROP. X. THEOREM. 164. In the same circle, or in equal circles, equal chords are equally distant from the centre. Ji Given AB and CD equal chords of O ABC, whose centre is O, and lines OE and OF _L to AB and CD, respectively.... | |
 | William James Milne - Geometry - 1899 - 396 pages
...circle and two chords equally distant from the center. How do the chords compare in length ? Theorem. 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. Data : Any two equal chords,... | |
 | William James Milne - Geometry, Modern - 1899 - 258 pages
...circle and two chords equally distant from the center. How do the chords compare in length ? Theorem. 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. Data: Any two equal chords, as... | |
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In the same circle or in equal circles, equal chords are equally distant from the center; and conversely. 
