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Descriptive Mineralogy. —Description of the chief varieties ; mode of occurrence ; distribution in New Zealand ; value. Blowpipe Determination. —Use of the blowpipe ; oxidizing and reducing flames ; examination of mineral samples. Text-book. —Text-book of Mineralogy, Dana. Mathematics. Arithmetic. —The simple rules ; weights and measures ; vulgar fractions ; decimals ; proportion ; problems ; logarithms ; mensuration. Algebra.—The signs and symbols ; simple rules ; factors ; symmetry ; problems ; quadratic equations ; simultaneous equations ; binomial theorem ; use of mining formulae. Trigonometry. —Definition of an angle ; trigonometrical ratios ; easy problems ; solution of triangles. Geometry. —Junior —Part lof Hall and Stevens's Geometry. Senior —Parts I, 11, and 111 of Hall and Stevens's Geometry, or their equivalents in Workman's Tutorial Geometry. Text-books. —Arithmetic, Brook Smith ; Elementary Algebra, Hall and Knight; Trigonometry, Lock ; Geometry, Hall and Stevens, or Workman. Drawing. Geometrical Drawing. —Use of scales and instruments ; plane geometrical figures ; projection ; isometric drawing. Mechanical Drawing. —Machinejclrawing to scale from copies, from rough sketches with dimensions, and from the machines, showing plan, elevation, and sections ; shading ; inking-in ; figuring and lettering ; preparation of working-drawings and tracings on paper and on cloth. Practical Astronomy.. The ecliptic ; equinoxes ; meridians ; longitude ; latitude ; altitude ; declination ; right ascension ; azimuth ; use of Nautical Almanac ; polar distance ; zenith distance ; hour-angle ; siderealtime ; mean time ; solar time ; parallax ; refraction ; retardation ; acceleration ; convergency of meridian ; determination of meridian by star-and-sun observations, by single altitudes and greatest elongation of circumpolar stars ; use of star-charts ; calculation of hour-angle, azimuth, and altitude of celestial bodies for any time and place ; determination of latitude by meridian altitudes ; determination of time by star-transits and sun observations. Text-books. —Navigation and Nautical Astronomy, Young ; Practical Astronomy, Loomis. Reference-books. —Nautical Almanac ; The Southern Skies, Proctor. Petrology. Preparations of thin rock-sections ; use of the polariscope ; identification of minerals in thin sections ; drawing and photographing of sections. Theory of light; ordinary and extraordinary ray ; polarised light; positive and negative crystals ; uniaxial and biaxial crystals ; interference figures, &c. A grinding-plate and polarising microscope are provided by the school. Text-books. —Petrology for Students, Harker ; Text-book of Mineralogy, Dana. Reference-books. —Tables for the Determination of the Eock-forming Minerals, Lcewinson-Lessing ; Microscopical Physiography of Eock-forming Minerals, Rosenbusch-Iddings. Physics. Heat. —Change of volume, measures of temperature ; change of state, latent heat, hygrometry, specific heat, calorimetry ; sources of heat, the conservation and dissipation of energy ; convection, conduction; reflection, refraction, transmission, and absorption of radiant energy. Use of thermometer, barometer, hygrometer ; determination of the density of solids and liquids; calculation of the density of gases from observations of their temperature and pressure ; calorimetry. Sound. —The production and propagation of sound; the vibration of sounding bodies; the elements of the physical theory of music. Light. —Nature, production, and propagation of light; the laws of reflection and refraction at plane and spherical surfaces ; prismatic dispersion and spectra ; interference, double refraction, and plane polarisation ; the principal optical instruments and visiom Use of goniometer, photometer, spectroscope, telescope, and microscope ; determination of the curvature, focal length, and magnifying power of lenses ; determination of the refractive index of solids and liquids. Static Electricity. —Fundamental phenomena of attraction and repulsion, conduction, induction, and distribution, electrostatic units ; electrical machines ; condensers. Magnetism. —Fundamental phenomena of magnetic attraction, repulsion, and induction ; magnetic units ; terrestrial magnetism. Current Electricity. —Voltaic batteries ; galvanometers ; electrolysis ; Ohm's law ; thermal effects of the electric current; electro-magnetic units ; the interaction of magnets and currents, and the mutual action of currents upon one another ; thermo electricity ; induction of currents ; magneto-electric and dynamo-electric machines. Use of electrometer, galvanometer, voltameter, Wheatstone's bridge, and resistance coils ; determination of the resistance of conductors and batteries ; determination of the electro-motive force of batteries, and of the strength of currents ; measurement of magnetic forces. Text-book. —The Tutorial Physics, Stewart and Catchpool. Reference-book. —Natural Philosophy, Deschanel.