Let a frame (without redundant members), and the external forces which keep it in equilibrium, be represented by a diagram constituting one of these two plane figures, then the lines in the other plane figure or the reciprocal will represent in direction and magnitude the forces between the joints of the frame, and, consequently, the stress on each member, as will now be explained.
First, if the three intersections by the line infinity are all distinct, we have the hyperbolas; if the points are real, the redundant hyperbolas, with three hyperbolic branches; but if only one of them is real, the defective hyperbolas, with one hyperbolic branch.
On this latter view we may regard the tusks of the male babirusa as examples of redundant development, analogous to that of the single pair of lower teeth in some of the beaked whales.
He was a small, short, youngish man, sprinkled all over his face with freckles, and wearing redundant yellow hair.
His thorough knowledge of the Servian language led him to reform the Cyrillic alphabet, in which several letters were redundant and certain sounds of the spoken language were unrepresented.
The warmly cool, clear, ringing, perfumed, overflowing, redundant days, were as crystal goblets of Persian sherbet, heaped up--flaked up, with rose-water snow.
He was assisted, from about 1463 onwards, by his disciple and continuator, Jean Molinet, whose rhetorical and redundant style may be fairly traced in some passages of the Chronique.
It is unduly florid and redundant in style, but it supplies us with the fullest account of the emperor's antecedents, and of his policy during the first two years and a half of his rule.
All the experiments yet made concur to prove that these two masses will not possess the same electric state ....The redundant electricities in the masses under consideration will be unequally distributed; the plate A will have about ninety-nine parts, and the plate C one; and, for the same reason, the revolving plate B will have ninety-nine parts of the opposite electricity, and the ball D one.
There is little doubt that some redundant narratives in the Ring were of earlier conception than the four complete dramas, and that their survival is due partly to Wagner's natural affection for work on which he had spent pains, and partly to a dim notion that (like Browning's method in The Ring and the Book) they might serve to reveal the story afresh in the light of each character.