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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. "
Elements of Geometry - Σελίδα 25
των Adrien Marie Legendre - 1825 - 224 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

Yale Examination Papers

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...

Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

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...

CHAUVENETS TREATISE ON ELEMENTARY GEOMETRY

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...

The Elements of Plane and Solid Geometry: With Numerous Exercises

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...

Elementary Geometry

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...

An Examination Manual in Plane Geometry

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...

Numerical Problems in Plane Geometry: With Metric and Logarithmic Tables

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...

Numerical Problems in Plane Geometry with Metric and Logarithmic Tables

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...

Plane and Solid Geometry

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....

SYLLABUS OF PROPOSITIONS IN GEOMETRY

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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