 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.  Plane Geometry - Page 90by William James Milne - 1899 - 242 pagesFull view - About this book
 | James Wallace MacDonald - Geometry - 1894 - 76 pages
...Propositions XVIII. and XIX. II. Given a circumference, to find its centre. Proposition IX. A Theorem. 172. In the same circle, or in equal circles, equal chords are equally distant from the centre ; and conversely, chords equally distant from the centre are equal. See Book I., Proposition... | |
 | James Wallace MacDonald - Geometry - 1889 - 80 pages
...points not in a straight line, to draw a circumference through them. Proposition IX. A Theorem. 172. In the same circle, or in equal circles, equal chords are equally distant from the centre ; and conversely, chords equally distant from the centre are equal. .5^ Book I., Proposition... | |
 | 1889 - 584 pages
...lines. In a given circle find the points equidistant from two given intersecting straight lines. 2. In the same circle or in equal circles equal chords are equally distant from the centre, and of two unequal chords the greater is nearer to the centre than the less. Through a given... | |
 | Edward Albert Bowser - Geometry - 1890 - 420 pages
...parallel chords in a circle is the diameter perpendicular to these chords. Proposition 6. Theorem. 206. In the same circle, or in equal circles, equal chords are equally distant from the centre; and conversely, chords •which are equally distant from the centre are equal to one another.... | |
 | William Chauvenet - 1893 - 340 pages
...of parallel chords is the diameter perpendicular to the chords. PROPOSITION VII.—THEOREM. 18. 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. 1st. Let AB,... | |
 | Charles Ambrose Van Velzer, George Clinton Shutts - Geometry - 1894 - 416 pages
...a JL to the common chord at its middle point and extend both ways. PROPOSITION XI. THEOREM. 153. In the same circle, or in equal circles, equal chords are equally distant from the center, and of two unequal chords the greater is nearer the center. I. Let AB and CD represent equal chords... | |
 | George Albert Wentworth, George Anthony Hill - Geometry - 1894 - 150 pages
...are equal when the three sides of one are equal respectively to the three sides of the other. 2. In the same circle, or in equal circles, equal chords are equally distant from the centre. 3. If AC and BC are tangents to a circle whose centre is O, from a point C without the circle,... | |
 | John Macnie - Geometry - 1895 - 390 pages
...would be similar to that for arcs in the same circle, and vice versa. PROPOSITION IX. THEOREM. 182. In the same circle, or in equal circles, equal chords are equally distant from the center; and conversely. 1°. Given: In circle ADB, chord AB equal to chord CD; To Prove : AB and CD are equally... | |
 | Joe Garner Estill - Geometry - 1896 - 168 pages
...2. If each side of a polygon is extended, the sum of the exterior angles is four right angles. 3. 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. The least chord... | |
 | Joe Garner Estill - 1896 - 186 pages
...2. If each side of a polygon is extended, the sum of the exterior angles is four right angles. 3. 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. The least chord... | |
| |
