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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...: Translated from the French for the Use of the ... - Σελίδα 25
των Adrien Marie Legendre, John Farrar - 1825 - 224 σελίδες
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## Elements of Geometry

Adrien Marie Legendre - 1819 - 208 σελίδες
...CFis evidently greater than CO, and CO than C/(52) ; for a still stronger reason CF^> CI. But CF = CO, since the chords AB, DE, are equal. Therefore CG >...only the point A in common with the circumference ; there BD is a tangent (97). 111. Scholium. We can draw through a given point A only one tangent AD...

## Elements of Geometry...: Translated from the French for the Use of the ...

Adrien Marie Legendre, John Farrar - 1825 - 224 σελίδες
...through three given points. THEOREM. o 109. Two equal chords are at the same distance from the centre, and of two unequal chords the less is at the greater distance from the centre. Demonstration 1. Let the chord AB = DE (fig. 53). Bisect Fig. 53. these chords by the perpendicular...

## Elements of Geometry

Adrien Marie Legendre - 1825 - 224 σελίδες
...and the same circumference. THEOREM. 109. Two equal chords are at the same distance from the centre, and of two unequal chords the less is at the greater distance from the centre. Demonstration 1. Let the chord AB = DE (fig. 53). Bisect Fig. 53. these chords by the perpendicular...

## Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - 1828 - 316 σελίδες
...one and the same circumference. THEOREM. 109. Two equal chords are equally distant from the centre ; and of two unequal chords, the less is at the greater distance from the centre. First. Suppose the chord AB= DE. Bisect those chords by the perpendiculars CF, CG, and draw the radii...

## Elements of Geometry and Trigonometry

Adrien Marie Legendre - 1836 - 359 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 the centre. 'First. Suppose the chord AB — DE. Bisect these chords by the perpendiculars CF, CG, and draw the...

## Elements of Geometry and Trigonometry

Adrien Marie Legendre - 1838 - 359 σελίδες
...III. 47 PROPOSITION VIII. THEOREM. Two equal chords are equally distant from the centre ; andoftwo unequal chords, the less is at the greater distance from the centre. First. Suppose the chard AB = DE. Bisect these chords by the perpendiculars CF, CG, and draw the radii...

## Elements of Geometry

Adrien Marie Legendre - 1841 - 235 σελίδες
...the same circumference. THEOREM. 1 09. Two equal chords are at the same distance from the centre ; and, of two unequal chords, the less is at the greater distance from the centre. Demonstration 1. Let the chord AB — DE (fig. 53). Bisect Fig. 53. these chords by the perpendiculars...

## Elements of Geometry and Trigonometry Translated from the French of A.M ...

Charles Davies - 1849 - 359 σελίδες
...points. PROPOSITION VIII. THEOREM. Two equal chords are equally distant from the centre ; andoftioo unequal chords, the less is at the greater distance from the centre. First. Suppose the chord AB = DE. Bisect these chords by the perpendiculars CF, CG, and draw the radii...

## ELEMENTS OF GEOMETRY AND TRIGONOMETRY

A. M. LEGENDRE - 1852
...to be impossible. PROPOSITION VIII. THEOEEM. Two equal chords are equally distant from the centre; and of two unequal chords, the less is at the greater distance from the centre. Suppose the chord AB to be equal to the chord DE. From C the centre of the circle, draw CF, and CG...

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

Charles Davies - 1854 - 432 σελίδες
...impossible. 64 GEOMETRY. * 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 the centre, Suppose the chord AB to be equal to the chord DE. From C the centre of the circle, draw CF, and CG...