 | F. B. Stevens - 1884 - 175 σελίδες
...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 - 1885 - 512 σελίδες
...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... | |
 | W. E. BYERLY - 1887
...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 - 1890 - 393 σελίδες
...(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
...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 - 1894 - 138 σελίδες
...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 - 1896 - 161 σελίδες
...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 - 144 σελίδες
...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 - 1898 - 210 σελίδες
...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.... | |
 | 1899
...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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Two equal chords are equally distant from the centre ; and of two unequal chords, the less is at the greater distance from the centre. 
