 Two equal chords are equally distant from the centre ; and of two unequal chords, the less is at the greater distance from the centre.  Elements of Geometry - Page 29by Adrien Marie Legendre - 1841 - 235 pagesFull view - About this book
 | F. B. Stevens - Examinations - 1884 - 202 pages
...the equal sides are equal. 2. In equal circles, equal chords are equally distant from the centres ; and of two unequal chords the less is at the greater distance from the centre. 3. The area of a trapezoid is equal to the product of its altitude and half the sum of its parallel... | |
 | Charles Davies, Adrien Marie Legendre - Geometry - 1885 - 538 pages
...impossible. PROPOSITION VIII. THEOREM. In equal circles, equal chords are equally distant from the centres; and of two unequal chords, the less is at the greater distance from the centre. For, let the circle KLG be placed upon ACH, so that the centre R shall fall upon the centre O, and... | |
 | William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...PBOPOSITION VII. 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. Corollary. Conversely, in the same circle, or in equal circles, chords equally distant from the centre... | |
 | Edward Albert Bowser - Geometry - 1890 - 420 pages
...(Radii) (110) (201 and Ax. 6) QED Proposition 7. Theorem. 207. In the same circle, or in equal circles, of two unequal chords, the less is at the greater distance from the centre. Hyp. In the O ABD, let the chord CD < the chord AB, and let the J_s 0 E, OF be drawn from the centre... | |
 | William Chauvenet - 1893 - 340 pages
...PROPOSITION VII. 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. Corollary. Conversely, in the same circle, or in equal circles, chords equally distant from the centre... | |
 | George Albert Wentworth, George Anthony Hill - Geometry - 1894 - 150 pages
...in the same circle, or in equal circles, equal chords are equally distant from the centre, and that of two unequal chords the less is at the greater distance from the centre. Two chords of a certain circle bisect each other. One of them is 10 inches long; how far is it from... | |
 | Joe Garner Estill - Geometry - 1896 - 168 pages
...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 that can be drawn in a circle through a given point is the chord perpendicular to the... | |
 | Joe Garner Estill - 1896 - 186 pages
...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 that can be drawn in a circle through a given point is the chord perpendicular to the... | |
 | James Howard Gore - Geometry - 1898 - 232 pages
...THEOREM. 148. In the same circle, or 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. In the circle ABEC let the chord AB equal the chord CF, and the chord CE be less than the chord CF.... | |
 | Harvard University - Geometry - 1899 - 39 pages
...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 same circle or in equal circles, chords equally distant from the centre are equal... | |
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