 In the same circle or in equal circles, if two chords are unequally distant from the center, they are unequal, and the chord at the less distance is the greater.  Wentworth's Plane Geometry - Page 11by George Albert Wentworth, David Eugene Smith - 1910 - 287 pagesFull view - About this book
 | George Albert Wentworth - Geometry, Modern - 1899 - 272 pages
...CONVERSELY : In the same circle or in equal circles, if two chords are unequally distant from the centre, they are unequal; and the chord at the less distance is the greater. In the circle whose centre is 0, let AB and CD be unequally distant from 0 ; and let OE, the perpendicular... | |
 | George Albert Wentworth - Geometry - 1899 - 498 pages
...CONVERSELY : In the same circle or in equal circles, if two chords are unequally distant from the centre, they are unequal ; and the chord at the less distance is the greater. agin the circle whose centre is O, let AB and CD be unequally distant from O; and let OE, the perpendicular... | |
 | Fletcher Durell - Geometry, Plane - 1904 - 382 pages
...OH, or its equal OG > OF. Ax. 12. THE CIRCLE PROPOSITION X. THEOREM (CONVERSE OF PROP. IX) 228. In the same circle, or in equal circles, if two chords are unequally distant from the center, the more remote is the less. B Given in the circle 0 the chord CD farther from the center than the... | |
 | Fletcher Durell - Geometry - 1911 - 553 pages
...Much more then OR, or its equal OQ > OF. Ax. 12. PROPOSITION X. THEOREM (CONVERSE OF PROP. IX) 228. In the same circle, or in equal circles, if two chords are unequally distant from the center, the more remote is the less. B Given in the circle 0 the chord CD farther from the center than the... | |
 | George Albert Wentworth - Geometry - 1904 - 496 pages
...§ 249 .\OE<OF. O..ED ARCS, CHORDS, AND TANGENTS. 85 PROPOSITION VIII. THEOREM. 251. CONVERSELY : In the same circle or in equal circles, if two chords are unequally distant from the centre, they are unequal ; and the chord at the less distance is the greater. In the circle whose centre... | |
 | Edward Rutledge Robbins - Geometry, Plane - 1906 - 268 pages
...(?) (77); and OI < OK (?) (Ax. 5). .-. OE < OK (Ax. 11). .-. OE < OF (Ax. 6). QED 224. THEOREM. In the same circle (or in equal circles) if two chords are unequally distant from the center, the chord at the less distance is the greater. Given : O 0 ; chords AB and CD ; distance OE < distance... | |
 | Edward Rutledge Robbins - Geometry - 1907 - 428 pages
...(?) (77); and Ol < OK (?) (Ax. 5). .-. OE < OK (Ax. 11). .-. OE < OF (Ax. 6). QED 224. THEOREM. In the same circle (or in equal circles) if two chords are unequally distant from the center, the chord at the less distance is the greater. Given : OO ; chords AB and CD ; distance OE < distance... | |
 | Webster Wells - Geometry - 1908 - 336 pages
...(Pig. of Prop. IX.) To Prove chord AB = chord CD. PLANE GEOMETRY — BOOK II PROP. XI. THEOREM 166. In the same circle, or in equal circles, if two chords are unequally distant from the centre, the more remote is the less. Draw figure in accordance with the statement. We then have: Given... | |
 | Webster Wells - Geometry, Plane - 1908 - 206 pages
...distant from 0. To Prove chord AB = chord CD. PLANE GEOMETRY — BOOK II PROP. XI. THEOREM 166. In the same circle, or in equal circles, if two chords are unequally distant from the centre, the more remote is the less. Draw figure In accordanoe with the statement. We then have: Given... | |
 | Webster Wells - Geometry - 1908 - 329 pages
...(Fig. of Prop. IX.) To Prove chord AB = chord CD. PLANE GEOMETRY — BOOK II PROP. XI. THEOREM 166. In the same circle, or in equal circles, if two chords are unequally distant from tlie centre, the more remote is the less. Draw figure in accordance with the statement. We then have:... | |
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