Proceedings of the Edinburgh Mathematical Society, Volumes 29-30Scottish Academic Press, 1911 - Electronic journals |
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Common terms and phrases
A₁ Academy Allan Glen's School apolar Apolar Triangles axes B.Sc B₁ Bi-Circular Quartic biangle C₁ chord Circular Cubic circumscribing coefficients coincide collinear condition conic Conjugate Cyclo-Points construction coordinates Corollary cross-ratio Cubic Curve cut the Quartic D.Sc D₁ direction cosines double point EDINBURGH MATHEMATICAL SOCIETY fixed points Focal Circles foci four tangents function geometry George Heriot's School George Watson's College given Glasgow harmonic harmonic mean Hence infinity integral involution linear lines joining lines of curvature locus meet nodal cubic Node orthogonal P₁ pair parallel pass perpendicular point of intersection points of contact pole Professor of Mathematics proposition respectively right angles roots Similarly straight line strophoid tangents three points triangle ABC values vertices x₁ xy plane y₁ αφ
Popular passages
Page 17 - What ratio does the angle of a regular hexagon bear to a right angle ? 2. Triangles upon the same base and between the same parallels are equal. A line drawn through the middle points of the sides of a triangle is parallel to the base.
Page 16 - ... so that its three vertices may be on three given lines. This is solved by inscribing in the circle a triangle whose three sides shall pass through the poles of the three given lines, and drawing tangents at the angular points of the inscribed triangle. (4).
Page 29 - On the envelope of the axes of a system of conies passing through three fixed points, Transactions of the American Mathematical Society, voL 4, No.
Page 41 - On the locus of the foci of a system of similar conies through three points" (these Proceedings, vol. XXVII, p. 37, Rev, sem. XVIII 1, p. 65) (p. 39-40). O1 6 0, p. FE EDWARDES. i°. A proof of Dupin's theorem with some simple illustrations of the method employed. 2°. Two methods of obtaining Cayley's condition that a family of surfaces may form one of an orthogonal triad. 3°. An extension of Dupin's theorem to the case in which a family of surfaces is cut orthogonally by two other families which...
Page 19 - Prove that the diagonals of a parallelogram bisect each other. Let ABCD be the given parallelogram with diagonals intersecting at P as shown in Fig.
Page 17 - ... of the first and fourth, second and fifth, and third and sixth...
Page iv - ... on the asymptotic lines of ruled surfaces of a linear complex are given , with some additions. This leads to the discussion of the properties of the /"-quintic with a bitangent (p. 33 — 72). Proceedings of the Edinburgh Mathematical Society, vol. XXIX, 1910—1911. (M. SPRINGER.) M1 5 h. WP MILNE. A property of the harmonic triangle of the complete quadrangle formed by the four points of contact of the four tangents to the cubic curve from a point on it (p.
Page 29 - On the Envelope of the Directrices of a System of Similar Conies through Three Points.
Page iv - I was considering the apolar generation of cubic curves which was published in the Proceedings of the London Mathematical Society (Ser. 2, Vol.