Jan. 8.] THE NEW ZEALAND GAZETTE. 25

A candidate in Experimental Pedagogy will be required to forward to
the Department a certificate on the prescribed form that he has carried
out satisfactorily a course of practical work in the subject occupying at
least sixty hours.

DIVISION II.

(15) Latin (three-hour paper).—(a) Selected portions of the works of
one prose and one verse author. Candidates will be expected to show a
knowledge of the historical and literary setting of the prescribed books.
(b) Translation of simple unprepared passages, verse and prose, from
the language into English; translation of an easy passage from English
into the prose of the language; questions on grammar. No candidate
shall be deemed to satisfy the requirements in Latin unless he translates,
to the satisfaction of the Examiner, at least one of the eight passages from
Latin into English.

1932: Livy IX; Virgil, “Aen. VI.”
1933: Pliny, “Letters VI”; Virgil, “Aen. XII.”
1934: Livy XXIV; Horace, “Odes III, IV.”

(16) French (three-hour paper).—(a) Unprepared passages for translation
from and into French; questions on grammar; composition. No candidate
shall be deemed to satisfy the requirements in French unless he translates,
to the satisfaction of the examiner, at least one of the eight passages from
French into English, and at least one passage from English into French.
(b) Passages from selected works for translation and explanation with
questions on the subject-matter of the works selected.

1932: V. Hugo, “Quatre-vingt-treize”; Rostand, “L’Aiglon”; Molière, “Le Misanthrope.”
1933: A. Daudet, “Tartarin sur les Alpes”; Racine, “Athalie”; Rostand, “la Princesse Lointaine.”
1934: H. Taine, “Voyage aux Pryénées”; Corneille, “Le Cid”; Molière, “L’Avare.”

(17) Pure Mathematics (Paper A, Arithmetic and Algebra, three hours;
Paper B, Geometry and Trigonometry, three hours).—Every candidate must
provide himself with a ruler graduated in inches and tenths and in centi-
metres and millimetres, a small set-square, a protractor or scale of chords,
compasses with pencil-point, and a fine pencil. Tables of logarithms will
be supplied.

(a) Arithmetic: Contracted and approximate methods of multiplying
and dividing numbers, so as to omit all unnecessary figures; use of rough
checks, especially with regard to the position of the decimal point; use of
such expressions as 1·732 × 10⁴ for 17320, and 1·732 × 10⁻³ for 0·001732.
Meaning of a common logarithm; use of logarithmic tables of four or five
figures. Calculation of numerical values from formulæ. Working of
problems in practice, interest, &c., by decimals; use of squared paper,
and application of graphical methods to arithmetical problems. A know-
ledge of the arithmetic and mensuration included in the programme of the
Training College Entrance Examination will be assumed.

(b) Algebra: Definitions and explanations of algebraical signs and
terms; addition, subtraction, multiplication, and division of algebraical
quantities, including easy fractions and easy surds (the candidate will not
be expected to show skill in the manipulation of complicated formulæ, but
he may be required to ascertain accurately the numerical value of any
quantity or expression given to him); easy equations of a degree not higher
than the second, and questions producing such equations; easy arithmetical
and geometrical series; graphs of simple algebraic functions within the limits
of the foregoing work, and graphical methods of solving equations.

(c) Geometry: Practical and theoretical geometry as in the Training
College Entrance Examination, together with the following :—

(PRACTICAL.)

To draw a normal to a plane from an external point.
Projections of a point on three planes at right angles.
Determination of a point by means of its co-ordinates (x, y, z), referred
to three rectangular axes and by means of its polar co-ordinates.
Projection of a straight line on a plane making a given angle with it.
Projection of a plane figure on a plane making a given angle with it.
Development of the right prism, and of the right pyramid.
Determination of the surface, the base being a regular polygon of the
right prism and right pyramid.
Volume of the prism and pyramid.
The generation of the right circular cylinder, right circular cone, and
sphere by revolution.

D