Bailey, Frederick H. (Frederick Harold), 1865- · Boston, London, Ginn & Co. · leaf 132
(5) by (4), we get y^ _ _ 1 X3 m or ya = X3, (6) an equation independent of b, which must, therefore, be satis-fied by the middle point of any one of the chords, i.e., by anypoint of the diameter. Therefore y = x (7) is the required equation of the diameter. But (7) is not a general equation, since… … Fig. 56. Transform (8) to a new set of axes parallel to the old andmeeting at the centre of the circle, Fig. 56, by tlie formulas X =: d + x, y = e + y. The equation of the circle becomes x- + y- = r, so that the equation of the diameter will be, by (7), y= x, for the slope of the chords will be…
Geometry, Analytic
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