Oct. 10.] THE NEW ZEALAND GAZETTE. 3037

Geometry.—Geometrical drawing and practical geometry of plane figures, including the use of Marquois and other scales.

The substance of Euclid, Books I to VI.* The special treatment of incommensurables will not be required.

Proportion may be treated algebraically and the complications of Euclid’s definitions and nomenclature avoided.

Algebra.—As in elementary mathematics, together with indices and the simpler properties of surds; graphs of the simpler algebraic functions; quadratic equations; use of graphs in solving equations, and in illustrating and solving practical questions; rate of variation of a function and gradient of a graph; graphic interpolation.

Grasp of elementary principles and readiness in practical application will be looked for, but great skill in analytical transformations will not be demanded.

Trigonometry.—Up to and including solution of plane triangles; graphs of trigonometrical functions; use of four-figure tables.

Readiness in straightforward practical applications, but no great analytical skill will be demanded.

Dynamics.—Graphical proofs of formulæ for uniformly accelerated motion—impact, work, energy, circular motion.

Statics.—Composition and resolution of forces; parallel forces; centre of gravity; three-force problems; friction; mechanical powers—e.g., lever, wedge, pulleys, &c.

PRACTICAL WORK.

Experimental verification of the above theoretical work, such as the measurement of velocity, impact, work, energy, &c. Exercises in drawing useful graphical demonstrations. Construction of the mechanical powers.

CLASS II.

4. Experimental Science.

PHYSICS.

Mensuration.—Properties of matter with regard to mass and volume. Measurement of lines, areas, volumes, mass, time.

Light.—Rectilinear propagation. Shadows. Velocity of light. Photometry. Laws of reflection—plane, concave, and convex mirrors. Laws of refraction. Prism. Convex lens. Explanation of simple phenomena.

Magnetism.—Magnets and their properties. Permanent and induced magnetism. Methods of magnetization. Molecular theory. Magnetic fields and lines of force. Terrestrial magnetism.

Statical electricity.—Electrification. Induction. Gold-leaf electroscope. Electrophorus. Elementary notions of potential and distribution of charge.

Current electricity.—Construction of batteries. Magnetic field due to current. Simple galvanometers. Ohm’s law with simple applications. Chemical action of the current. Heating effects of currents. Transformations of energy.

PRACTICAL WORK.†

Verification of points of thermometers. Melting and boiling points. Simple photometry. Focal lengths of mirrors and of convex lenses. Experimental verification of laws of reflection. Mapping of lines of force in magnetic field. Simple experimental applications of Ohm’s law. Equipotential lines on a conducting sheet.

CHEMISTRY.

Classification of matter.—Gases, liquids, solids.

Constitution of matter.—Elements, compounds, mixtures.

Study of water—
(a.) Solution of gases, of liquids, of solids, in water. Natural waters.
(b.) Evaporation, distillation, solidification, of water.
(c.) Qualitative and quantitative chemical constitution of water.

Study of the atmosphere—
(a.) Pressure.
(b.) Constitution.

Chemical action.—Combustion, flame. Plant and animal life. Conservation of matter and weight.

Oxides.—Acidic, basic, and neutral.

Acids and salts.—Formation of acids from acidic oxides. Neutralisation of acids by bases.

Study of the non-metallic elements, hydrogen, oxygen, nitrogen, chlorine, carbon, sulphur, with their more simple or common compounds.

• Schedules A and B of geometry issued by the University of Cambridge may be referred to as indicating the scope required.

† For the present, in the examination for the qualifying certificate, the papers will be set in such a way as to ascertain whether the candidate has obtained a practical knowledge of the subject, and has himself performed simple experiments in the subjects enumerated under the heading of Practical Work.

PRACTICAL WORK.*

Soluble and insoluble substances.—Quantitative estimation of solid in solution. Quantitative examination of a mixture containing a soluble and an insoluble substance.

Action of heat in air on common elements.—Quantitative examination of gain in weight. Examination of the properties of the bodies formed.

Neutralisation of bases by acids, and preparation of very simple salts.

Method of crystallization.—Determination of water of crystallization in a salt.

Preparation of hydrogen, oxygen, and nitrogen, by the simplest and most common methods.

5. French or German.

(1.) Simple unseen translation from French or German.
(2.) " into "
Pronunciation to be tested orally.

6. Latin or Greek.

(1.) Unseen translation from Latin or Greek including both prose and verse.
(2.) Easy prose to translate into Latin or Greek.

APPENDIX III.

SYLLABUS OF EXAMINATION IN MILITARY SUBJECTS.
(See Paragraph 21.)

1. Military history and strategy— Marks.
   (a.) One general paper on military history and the principles of strategy .. 500
   (b.) One paper on a campaign (which will be notified in Army Orders of January or July) .. 500

The following headings indicate the scope of the examination:—
(Principles should be illustrated by examples from military history.)
(a.) The relation between politics and strategy.
(b.) The influence and limitations of sea power.
(c.) Strategic terms and their meanings.
(d.) The dependence of successful strategy on—
(1.) A good system of organization for war, and an efficient Intelligence Department.
(2.) A method of training such as will provide an efficient instrument to carry out its conceptions.
(3.) Secure bases and lines of supply.
(4.) Good roads (and, if possible, railways) along the lines of operations.
(e.) The considerations which dictate the choice of an offensive or defensive attitude.
(f.) The selection of an objective, and of the theatre and line of operations.
(g.) The relation between the fronts of armies and their lines of communication.
(h.) The manoeuvre of turning a flank, and its development.
(i.) The breaking of a front and interposition between the parts of a divided front.
(j.) Operations on interior and exterior lines.
(k.) Combinations resulting from armies operating from divergent bases.
(l.) The modifications in strategic principles which the nationalisation of armies and introduction of railways and telegraphs have brought about.
(m.) The influence on strategy of the physical features of a country and configuration of bases and frontiers.
(n.) The strategic counterstroke and the strategic pursuit.
(o.) The influence which moral factors, and especially the personality and characteristics of an opponent, exert on strategy.

2. Tactics— Marks.
   (a.) One paper on the matter contained in “Combined Training,” together with questions on the history and development of the tactics of the three arms from 1740, inclusive, to the present date .. .. .. 750
   (b.) One paper on the application of tactical principles to schemes worked out on a map .. 750

3. Military engineering—
   (a.) One paper on the subject-matter of the “Manual of Military Engineering, 1905” (Part I) .. .. .. 500
   (b.) Application of above principles to schemes worked out on a map .. .. .. 500

• For the present, in the examination for the qualifying certificate, the papers will be set in such a way as to ascertain whether the candidate has obtained a practical knowledge of the subject, and has himself performed simple experiments in the subjects enumerated under the heading of Practical Work.