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Volume 31 - Issue 295 - July 1947

The Ground of Artes
Published online by Cambridge University Press:

03 November 2016, p. 129
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Isogonal Conjugates: A new approach to certain Geometrical Theorems and to a General Theory of Conics
H. E. Piggott, A. Steiner
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03 November 2016, pp. 130-144
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ABC is a triangle; BX, CX′ are equal arcs of the circumcircle taken in opposite senses from B and C. AX, AX′ are then said to be isogonally conjugate with respect to AB and AC. (The usual textbook definition is to say that the angles BAX, CAX′ are equal. The definition by equal arcs is used throughout this paper both because it has practical advantages and because it leads easily to theoretical development.)

Gleanings Far and Near
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03 November 2016, pp. 144-192
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The method of solving linear differential equations with constant coefficients by using the operator D, which is given in elementary textbooks, was introduced in 1841 by Boole. In spite of the developments summarised below it remains the best method available for certain types of problem. As usually presented it is a tentative process, justified only by substitution in the original equation of the result produced. It is used only to obtain particular integrals, although it can be adapted to deal with complementary functions. This is not done in practice, however, since these can usually be written down directly.

Optics and Electron Optics: An Application of the Linear Differential Equation with Variable Coefficients
T. J. Hargest
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03 November 2016, pp. 154-160
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Much progress in Science and Technology has been made from applications of the linear differential equation with constant coefficients. Extensions of the theory have made it necessary to consider cases when the coefficients are no longer constant, but are variable. The present inquiry is to investigate one of these applications.

On the Nodes of a Rational Plane Curve
Harold Simpson
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03 November 2016, pp. 161-163
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Consider a rational (unicursal) plane curve of degree n given by
x : y : z = f(t) : Φ(t) :ψ(t)

“Isosceles.”: To the Editor of the Mathematical Gazette
I. FitzRoy Jones
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03 November 2016, p. 163
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Complex Number Phraseology: To the Editor of the Mathematical Gazette
T. G. C. Ward
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03 November 2016, p. 163
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1966. On the solution of a triangle given two sides and the included angle
H. N. Haskell
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03 November 2016, p. 164
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1967. Note on continuity
R. L. G.
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03 November 2016, pp. 164-165
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1968. A Note on identities
R. L. G.
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03 November 2016, pp. 165-166
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1969. Volume, to a given depth, of a cylindrical tank with spherical caps as ends
E. H. Lockwood
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03 November 2016, pp. 166-168
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1970. On the positive and negative sides of a line
E. G. Phillips
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03 November 2016, pp. 168-169
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1971. The Brocard angle
E. H. N.
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03 November 2016, p. 169
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1972. On Notes 1727 and 1842 (with 605): “Extension of Simson’s Line”
D. K. Picken
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03 November 2016, p. 170
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1973. On Euclid VI. 3.
J. I. Mason
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03 November 2016, p. 171
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1974. Right circular cone
S. Parameswaran
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03 November 2016, pp. 171-172
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1975. Shortcutting in Multiplication on a Calculating Machine
S. Vajda
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03 November 2016, pp. 172-173
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1976. “Why does a bicycle keep upright?”(Math. Gazette, Vol. XXX, No. 291)
F. G. M.
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03 November 2016, p. 173
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Methods of Mathematical Physics. By Harold Jeffreys and Bertha Swirles Jeffreys. Pp. viii, 679. 63s. 1946. (Cambridge University Press)
E. T. Copson
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03 November 2016, pp. 174-176
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The Mathematical Gazette

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Volume 31 - Issue 295 - July 1947

Other

The Ground of Artes

Research Article

Isogonal Conjugates: A new approach to certain Geometrical Theorems and to a General Theory of Conics

Other

Gleanings Far and Near

Operational Methods

Solution of Differential Equations by Operational Methods

Research Article

Optics and Electron Optics: An Application of the Linear Differential Equation with Variable Coefficients

Nodes of a Rational Place Curve

On the Nodes of a Rational Plane Curve

Correspondence

“Isosceles.”: To the Editor of the Mathematical Gazette

Complex Number Phraseology: To the Editor of the Mathematical Gazette

Mathematical notes

1966. On the solution of a triangle given two sides and the included angle

1967. Note on continuity

1968. A Note on identities

1969. Volume, to a given depth, of a cylindrical tank with spherical caps as ends

1970. On the positive and negative sides of a line

1971. The Brocard angle

1972. On Notes 1727 and 1842 (with 605): “Extension of Simson’s Line”

Other

1973. On Euclid VI. 3.

Mathematical notes

1974. Right circular cone

1975. Shortcutting in Multiplication on a Calculating Machine

1976. “Why does a bicycle keep upright?”(Math. Gazette, Vol. XXX, No. 291)

Reviews

Methods of Mathematical Physics. By Harold Jeffreys and Bertha Swirles Jeffreys. Pp. viii, 679. 63s. 1946. (Cambridge University Press)

The Mathematical Gazette

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Volume 31 - Issue 295 - July 1947

Other

Research Article

Other

Operational Methods

Research Article

Nodes of a Rational Place Curve

Correspondence

Mathematical notes

Other

Mathematical notes

Reviews