Special Reports on Educational Subjects, Volume 27H.M. Stationery Office, 1912 - Education |
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A. L. Bowley algebra analytical geometry Applied Mathematics axes axis binomial theorem boys candidates centre circle classes coefficient College conic constant continued fraction coordinates course curvature curve Differential Calculus distance elementary ellipse Engineering equal equilibrium examination Find the equation fixed point force formulæ functions given graphical graphs horizontal hyperbola Integral Calculus intersect knowledge length locus logarithms Mathematical Tripos mathematician maxima and minima mechanical methods motion obtained paper parabola parallel particle perpendicular physical plane post free practical problems projection Prove Pure Mathematics questions radius ratio respectively right angles roots scholarships Secondary Schools Show sides simple solution Special Reports specialised sphere spherical straight line string surface syllabus System of Education tangent teacher teaching Technical theorem theory trigonometry Tripos University vector velocity vertex vertical
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Page 89 - IF a straight line touch a circle, and from the point of contact a straight line be drawn at right angles to the touching line, the centre of the circle shall be in that line.
Page 64 - ... to, connection must be established between the mind and its material. There is no question of getting along without this bond of connection; the only question is whether it be such as grows out of the material itself in relation to the mind, or be imported and hitched on from some outside source. If the subject-matter of the lessons be such as to have an appropriate place within the expanding consciousness of the child, if it grows out of his own past doings, thinkings, and sufferings, and grows...
Page 243 - Surely every medicine is an innovation, and he that will not apply new remedies must expect new evils; for time is the greatest innovator...
Page 76 - ... The Examination in this School shall be under the supervision of the Board of the Faculty of Natural Science. 4. The Board shall have power to issue a Syllabus of the subjects in which Candidates shall be examined, and to vary the same from time to time. (ii) Regulations of the Board of the Faculty. Candidates will be examined in the following subjects : — Algebra, including the Elements of the Algebra of Quantics ; Theory of Equations ; Trigonometry, plane and spherical ; Infinite series and...
Page 112 - Prove that the algebraic sum of the moments of two concurrent forces about any point in their plane is equal to the moment of their resultant about the same point.
Page 232 - Show that the rods can not make an angle with the vertical greater than 10. Two equal uniform rods are fastened together so as to bisect one another at right angles. They rest in a plane at right angles to a rough wall, the one rod resting on the edge of the top of the wall, and an end of the other against the vertical side. Prove that the limiting inclination...
Page 56 - FG [Hypothesit. and joined towards the same parts by the straight lines BE, CH. But straight lines which join the extremities of equal and parallel straight lines towards the same parts are themselves equal and parallel.
Page 233 - A diving bell has the form of a paraboloid of revolution cut off by a plane perpendicular to its axis at a distance h from the vertex, where h is the height of the water barometer. If the bell be lowered so that its vertex is at a depth 5A/2 below the surface of the water, find how high the water will rise in the bell.
Page 76 - ... 1913, the following is the examination program for the final honor school of mathematics, which is one of nine schools. Algebra, including the elements of the algebra of quantics; theory of equations; trigonometry, plane and spherical; infinite series and infinite products. Geometry, pure and analytic, of two and three dimensions. Differential and integral calculus; differential equations. The elements of the theory of functions of a complex variable, with applications to the elementary functions...
Page 70 - Calculus of Finite Differences. 8. Theory of Chances. Mixed Mathematics. 1. Mechanics of Solid and Fluid Bodies. 2. Optics, Geometrical and Physical. 3. Newton's Principia, Sections I, II, III, and parts of IX and XI. 4. Astronomy, including the more elementary parts of the Lunar and Planetary...