Sentence Examples

  • Thus the general curve of three bar-motion (or locus of the vertex of a triangle, the other two vertices whereof move on fixed circles) is a tricircular sextic, having besides three nodes (m = 6, 6 = 3+3+3, = 9), and having the centres of the fixed circles each for a singular focus; there is a third singular focus, and we have thus the remarkable theorem (due to S.
  • Two polyhedra are reciprocal when the faces and vertices of one correspond to the vertices and faces of the other.
  • SX may be also divided externally at A', so that SA'/A'X = e, since e is less than unity; the points A and A' are the vertices, and the line AA' the major axis of the curve.
  • Cayley gave the formula E + 2D = eV + e'F, where e, E, V, F are the same as before, D is the same as Poinsot's k with the distinction that the area of a stellated face is reckoned as the sum of the triangles having their vertices at the centre of the face and standing on the sides, and e' is the ratio: " the angles subtended at the centre of a face by its sides /2rr."
  • The truncated tetrahedron is formed by truncating the vertices of a regular tetrahedron so as to leave the original faces hexagons.

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