 | George Albert Wentworth - Geometry - 1904 - 496 pages
...and bisects the arcs of the chord. ARCS, CHORDS, AND TANGENTS. 83 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... | |
 | Edward Rutledge Robbins - Geometry, Plane - 1906 - 268 pages
...(219). .-. OP is -L to AB at its midpoint (?) (70). IV. Arc AX = arc BX (?) (206). QED 221. THEOREM. In the same circle (or in equal circles) equal chords are equally distant from the center. Given : O o ; chord AB = chord CD, and distances OE and OF. To Prove : OE = OF. Proof : Draw... | |
 | Wisconsin. Department of Public Instruction - Education - 1906 - 124 pages
...line joining the center of two intersecting circles bisects their common chord at right angles. 48. In the same circle or in equal circles, equal chords are equally distant from the center; and of two unequal chords, the shorter is farther from the center. 49. Converse of 48. 50.... | |
 | Edward Rutledge Robbins - Geometry - 1907 - 428 pages
...(219). .-. OP is .L to AB at its midpoint (?) (70). IV. Arc AX = arc UK (?) (206). QED 221. THEOREM. In the same circle (or in equal circles) equal chords are equally distant from the center. Given : OO ; chord AB = chord CD, and distances OE and OF. To Prove : OE = OF. Proof : Draw... | |
 | Webster Wells - Geometry - 1908 - 329 pages
...(§ 155) 5. Again, Z.AOD = Z.BOD. (§41,2) 6. Then, arc AD = arc BD. (?) PROP. IX. THEOREM 164. In the same circle, or in equal circles, equal chords are equally distant from the centre. Draw a O with centre at 0 ; draw equal chords AB and CD. Draw lines OE and OF±AB and OZ>, respectively,... | |
 | Webster Wells - Geometry - 1908 - 336 pages
...BC. (§ 155) 5. Again, ZAOD = ^BOD. (§41,2) 6. Then, arc AD = arc BD. (?) PROP. IX. THEOREM 164. In the same circle, or in equal circles, equal chords are equally distant from the centre. Draw a O with centre at O ; draw equal chords AB and CD. Draw lines OE and OF± AB and (7Z>, respectively,... | |
 | Webster Wells - Geometry, Plane - 1908 - 208 pages
...BC. (§ 155) 5. Again, ZAOD = ^BOD. (§41,2) 6. Then, arc AD = arc BD. (?) PROP. IX. THEOREM 164. In the same circle, or in equal circles, equal chords are equally distant from the centre. Draw a O with centre at O ; draw equal chords AB and CD. Draw lines OE and OF± AB and CD, respectively,... | |
 | Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...bisector of CD is the locus of all points equally distant from C and D. ... etc. THEOREM IX 258. In the same circle or in equal circles, equal chords are equally distant from the center; and of two unequal chords, the slwrter is farther from the center. Given: CD = EF and AB<EF... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 300 pages
...third vertex if the triangle is fixed in size and shape? STRAIGHT LINES AND CIRCLES. 10. Prove that in the same circle or in equal circles equal chords are equally distant from the center. SUGGESTION. MB = ND. Why? Then prove A BMC ^ A CND. 11. State and prove the converse of the... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 304 pages
...third vertex if the triangle is fixed in size and shape? STRAIGHT LINES AND CIRCLES. 1O. Prone that in the same circle or in equal circles equal chords are equally distant from the center. SUGGESTION. MB = ND. Why? Then prove A BM C = A CND. 11. State and prove the converse of the... | |
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In the same circle or in equal circles, equal chords are equally distant from the center; and conversely. 
