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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

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

Adrien Marie Legendre - 1857 - 448 σελίδες
...to be impossible. PROPOSITION VIII. THEOREM. Two equal chords are equally distant from the centre; and of two unequal chords, the less is at the greater distance from tf1e centre, Suppose the chord AB to be equal to the chord DE. From C the centre of the circle, draw...

A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - 1871 - 368 σελίδες
...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, CD, be equal chords ; OE, OF, the perpendiculars which measure their distances from the...

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

Charles Davies - 1872 - 455 σελίδες
...impossible. PROPOSITION VIII. THEOREM. In equal circles, equal chords are equally distant from tht centres,' and of two unequal chords, the less is at the greater distance from the centre. For, let the circle KLG be placed upon ACIf, so that the centre _K shall fall upon the centre 0, and...

A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - 1872 - 368 σελίδες
...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, CD, be equal chords ; OE, OF, the perpendiculars which measure their distances from the...

A Treatise on Special Or Elementary Geometry

Edward Olney - 1872 - 201 σελίδες
...greater than arc CnD, it must be less. PROPOSITION VI. 167. Theorem.—In the same or in equal circles, of two unequal chords, the less is at the greater distance from the centre. DEM.—Let CE < AB, then is the perpendicular OD, which measures tlm distance of CE from the centre,...

Elements of Geometry and Trigonometry: From the Works of A.M. Legendre

Adrien Marie Legendre - 1874 - 455 σελίδες
...impossible. PROPOSITION VTII. 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. 1°. In the equal circles ACH and KLG, let the chords AC and KL be equal : then will they be equally...

Elements of Plane and Solid Geometry

George Albert Wentworth - 1877 - 398 σελίδες
...THEOREM. 185. IIi 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 ABE С let the chord AB equal the chord CF, and the chord CE be less than the chord CF....

A Treatise on Special Or Elementary Geometry

Edward Olney - 1877 - 239 σελίδες
...greater than arc CwD, it must be less. PROPOSITION VL 167. TJieorem.—In the same or in equal circles, of two unequal chords, the less is at the greater distance from the centre. DEM.—Let CE < AB, then is the perpendicular OD, which measures the distance of CE from the centre,...

Elements of Geometry

George Albert Wentworth - 1881
...THEOREM. 185. 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. E In the circle AB EC let the chord AB equal the chord С f, and the chord CE be less than the chord...

Elementary Geometry: Including Plane, Solid, and Spherical Geometry, with ...

Edward Olney - 1883 - 333 σελίδες
...contrary to the hypothesis. PROPOSITION IX. 153. Theorem.—In, the same circle, or in equal cir, cies, of two unequal chords, the less is at the greater distance from the centre; and, conversely, of two chords which are unequally distant from the centre, that which is at the greater...




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