cover image: Bulletin of the Calcutta Mathematical Society  1918-19

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20.500.12592/wtnc01

Bulletin of the Calcutta Mathematical Society 1918-19

1919

Let the plane of the undisturbed surface be the plane of dy and let the axis of y be measured in the direction of propagation of the wave and the axis'of z vertically upwards. [...] The area"g4 NIKHITAIARJAN SEPY is divided into two elliptic sectors by the radii vectores SC and Sti and the potential of the whole area is the sum of the potentials V and V due to the two sectors. [...] Thus the inverse of a conic with respect to the origin 0 ( which may be easily proved to be a nodal bicircular quartic the common points of the variable circles being nodes on the curve ) is the envelope of a variable'circle passing through 0. The locus of the centres of these circles is clearly a conic which is called the Focal Conic of the quartic. [...] If the given circles are orthogonal the focal circle will also pass through O. Hence the.directrix of the parabola inrert4 into the focal circle of the cardioide The above theorem may be stated in various ways ; thus - " If the three angles of a triangle are given while the vertex is fixed and the base passes through a fixed point the circumscribing circle of the triangle envelops a cardioide [...] 3. Lemma.—The direction of the axis being the same if the origin be transferred to a point 0' (f q h) and if all the points of the points of the z —plane are centrally projected from (0 0 1) to the new plane of z' to find the relation between the corresponding values of z z'.
technology medicine science
Pages
52
Published in
India
SARF Document ID
sarf.120023
Segment Pages Author Actions
Frontmatter
i-ii unknown view
On Surface Waves and Tidal Waves Near a Promontory
1-10 Sudhansukumar Banerji view
On the Potentials of Uniform and Heterogeneous Elliptic Cylinders at an External Point
11-28 Nikhilranjan Sen view
Notes on Inversion
29-34 Taraknath Bhattacharyya view
On the Use of Ritz’s Method for Finding the Vibration-Frequencies of Heterogeneous Strings and Membranes
35-42 N.K Majumdar view
On the Steady Motion of a Viscous Fluid Due to the Rotation of Two Rigid Bodies about Arbitrary Axes
43-50 Bijon Dutt view

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