Elementary Mechanics of Solids And Fluids
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Let ABA' (Fig. 95) be a circle with centre C. From a point Q on the circle draw an ordinate QN per- pendicular to a diameter AC A', and on QN take a point P such that FN : QNis a ratio < i. If different positions of Q on the circle are taken, and FN . the fraction ytjCt is the same for all, the point F Hes on an ellipse. Since the point Q may lie above or below the line AC A', the ellipse consists of two precisely similar portions, one above, the other below AC A'. C is called the centre of the ellipse, any chord through C Ch. VI.] The EUipse. 179 is called a diameter, and AC A', being obviously the longest diameter, is called the major axis. If BCff be the diameter of the circle perpendicular to Kg. 95. ACA', I, b' the points where it meets the elHpse, hCb' is called the minor axis of the ellipse. It divides the ellipse into two similar parts. § 3. Let QN, qn be two ordinates of the circle ABA', P and JO corresponding points on the ellipse. If T be the point in which Qq meets AA', TN QN- Pi\r , , , , „ .,.
What to read after Elementary Mechanics of Solids And Fluids?
You can find similar books in the "Read Also" column, or choose other free books by Selby, Arthur Laidlaw to read online
To quickly assess the difficulty of the text, read a short excerpt:
Let ABA' (Fig. 95) be a circle with centre C. From a point Q on the circle draw an ordinate QN per- pendicular to a diameter AC A', and on QN take a point P such that FN : QNis a ratio < i. If different positions of Q on the circle are taken, and FN . the fraction ytjCt is the same for all, the point F Hes on an ellipse. Since the point Q may lie above or below the line AC A', the ellipse consists of two precisely similar portions, one above, the other below AC A'. C is called the centre of the ellipse, any chord through C Ch. VI.] The EUipse. 179 is called a diameter, and AC A', being obviously the longest diameter, is called the major axis. If BCff be the diameter of the circle perpendicular to Kg. 95. ACA', I, b' the points where it meets the elHpse, hCb' is called the minor axis of the ellipse. It divides the ellipse into two similar parts. § 3. Let QN, qn be two ordinates of the circle ABA', P and JO corresponding points on the ellipse. If T be the point in which Qq meets AA', TN QN- Pi\r , , , , „ .,.
What to read after Elementary Mechanics of Solids And Fluids?
You can find similar books in the "Read Also" column, or choose other free books by Selby, Arthur Laidlaw to read online
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