§ 5. Of the Examination in an Additional Subject. 1. A Candidate may offer himself for examination in an Additional Subject either at the same examination as that in which he offers Stated Subjects or at another examination. 2. A Candidate who desires to be examined in an Additional Subject shall offer one of the following subjects:(1) A portion of a Greek or Latin historical or philosophical author. (2) A portion of a French, German, Italian, or Spanish historical or philosophical author. (3) The Elements of Logic, Deductive and Inductive. 3. A Candidate shall not be allowed to offer portions of the same book as an Additional Subject and as a Stated Subject, and no Candidate for admission to any part of the Second Public Examination shall for that purpose be deemed to have satisfied the Masters of the Schools in an Additional Subject, if the Additional Subject in which he has satisfied them is a portion of one of the books in which the Candidate has satisfied the Masters of the Schools as a Stated Subject. 4. A Candidate who has passed the Preliminary Examination in the Honour School of Jurisprudence shall not be allowed to offer as an Additional Subject any of the same books in which he satisfied the Examiners in the said Preliminary Examination; nor shall he be allowed to offer Logic as an Additional Subject if in the Preliminary Examination he satisfied the Examiners in Logic. § 6. Of the Examination in the Greek Language only. Candidates admitted under the provisions of the Statute on Universities within the United Kingdom or of the Statute on Affiliated Colleges or of the Statute on Colonial and Indian Universities or of the Statute on Students from Foreign Universities or of Statt. Tit. VI. Sect. I. cl. 2 may offer themselves for examination at Responsions in the Greek language only, and shall then be examined in the same manner and under the same conditions as Candidates who offer themselves for examination in Stated Subjects. 7. Of the Examination in Latin Prose Composition only. A Candidate who is qualified under the provisions of Statt. Tit. VI. Sect. I. cl. 2 B (13) or (15) or (16) or (17) or (18) or (19) or (21) may offer himself for examination at Responsions in Latin Prose Composition only, and shall then be examined therein in the same manner and under the same conditions as Candidates who offer themselves for examination in Stated Subjects. § 8. Of the Method of the Examinations. 1. Every Candidate shall be examined in writing. 2. The Masters of the Schools may at any time before the close of the examination invite the attendance of any Candidate in Stated Subjects for such further examination as they may think desirable to enable them to come to a decision respecting the work of such Candidate. 3. A Candidate who offers an Additional Subject shall be examined in the contents as well as in the text of the book which he offers; and shall be examined viva voce as well as in writing. If he offers the subjects specified in § 5. cl. 2 (1) and (2), he shall be required to translate passages, not only from the book offered, but also from one or more prose authors, not offered by him, in the same language: and he may be examined viva voce in passages from authors not offered by him. 1. The Board of Studies for Responsions shall from time to time publish lists of authors or portions of authors which may be offered by Candidates for examination in Stated Subjects.1 The Board shall regulate the amount of each subject which shall be required of Candidates, and shall specify in the case of any author offered for examination, whether the whole or, if not the whole, what portion of such author shall be offered. 2. The Board shall also from time to time publish lists of authors or portions of authors and subjects which may be offered by Candidates in Additional Subjects. § 10. Of the Preliminary Examination for Students in Music. The Masters of the Schools shall also conduct the Preliminary Examination provided for Students in Music by Sectio III. § 22 of this Statute. 1 By decree of Convocation any Candidate who was matriculated before the first day of Michaelmas Term, 1916, may offer any other Greek or Latin author, or portion of a Greek or Latin author, by giving notice to the Chairman of the Board of Studies for Responsions (University Registry, Oxford) at least a fortnight before the date fixed for the beginning of the Examination (see p. 28). At the Examinations in September, 1915, and in Michaelinas Term, 1915, the above privilege will be extended to all Candidates. 2 See p. 186. (ii) Regulations of the Board of Studies. For the Year October 10, 1915-October 9, 1916. A. STATED SUBJECTS. All Candidates will be examined in the following 'Stated Subjects': I. Arithmetic. The whole. 2. Either the Elements of Algebra. Addition, Subtraction, Multiplication, Division, Greatest Common Measure, Least Common Multiple, Fractions, Extraction of Square Root, Simple Equations containing one or two unknown quantities and problems producing such equations. Or the Elements of Geometry. The paper in Geometry will contain questions on Practical and on Theoretical Geometry. Every Candidate will be expected to satisfy the Masters of the Schools in both branches of the subject. The questions on Practical Geometry will be set on the constructions contained in the annexed Schedule A, together with easy extensions of them. In cases where the validity of a construction is not obvious, the reasoning by which it is justified may be required. Every Candidate must provide himself with a ruler graduated in inches and tenths of an inch, and in centimetres and millimetres, a set square, a protractor, and compasses. Questions may be set in which the use of the set square or of the protractor is forbidden. The questions on Theoretical Geometry will consist of theorems contained in the annexed Schedule B, together with questions upon these theorems, easy deductions from them, and arithmetical illustrations. Any proof of a proposition will be accepted which appears to the Masters of the Schools to form part of a systematic treatment of the subject; the order in which the theorems are stated in Schedule B is not imposed as a sequence of their treatment. So far as possible Candidates should aim at making the proof of any proposition complete in itself. In the proof of theorems and deductions from them, the use of hypothetical constructions will be permitted. Schedule A. Bisection of angles and of straight lines. Construction of parallels to a given straight line. Simple cases of the construction from sufficient data of triangles and quadrilaterals. Division of straight lines into a given number of equal parts. Construction of a triangle equal in area to a given polygon. Construction of tangents to a circle and of common tangents to two circles. Simple cases of the construction of circles from sufficient data. Schedule B. Angles at a Point. If a straight line stands on another straight line, the sum of the two angles so formed is equal to two right angles; and the converse. If two straight lines intersect, the vertically opposite angles are equal. Parallel Straight Lines. When a straight line cuts two other straight lines, if (i) a pair of alternate angles are equal, or (ii) a pair of corresponding angles are equal, or (iii) a pair of interior angles on the same side of the cutting line are together equal to two right angles, then the two straight lines are parallel; and the converse. Straight lines which are parallel to the same straight line are parallel to one another. Triangles and Rectilinear Figures. The sum of the angles of a triangle is equal to two right angles. If the sides of a convex polygon are produced in order, the sum of the angles so formed is equal to four right angles. If two triangles have two sides of the one equal to two sides of the other, each to each, and also the angles contained by those sides equal, the triangles are congruent. If two triangles have two angles of the one equal to two angles of the other, each to each, and also one side of the one equal to the corresponding side of the other, the triangles are congruent. If two sides of a triangle are equal, the angles opposite to these sides are equal; and the converse. If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent. If two right-angled triangles have their hypotenuses equal, and one side of the one equal to one side of the other, the triangles are congruent. If two sides of a triangle are unequal, the greater side has the greater angle opposite to it; and the converse. Of all the straight lines that can be drawn to a given straight line from a given point outside it, the perpendicular is the shortest. The opposite sides and angles of a parallelogram are equal, each diagonal bisects the parallelogram, and the diagonals bisect one another. Areas. Parallelograms on the same or equal bases and of the same altitude are equal in area. Triangles on the same or equal bases and of the same altitude are equal in area. Equal triangles on the same or equal bases are of the same altitude. Illustrations and explanations of the geometrical theorems corresponding to the following algebraical identities: The square on the side of a triangle is greater than, equal to, or less than the sum of the squares on the other two sides, according as the angle contained by those sides is obtuse, right or acute. The difference in the cases of inequality is twice the rectangle contained by one of the two sides and the projection on it of the other. Loci. The locus of a point which is equidistant from two fixed points is the perpendicular bisector of the straight line joining the two fixed points. The locus of a point which is equidistant from two intersecting straight lines consists of the pair of straight lines which bisect the angles between the two given lines. The Circle. A straight line, drawn from the centre of a circle to bisect a chord which is not a diameter, is at right angles to the chord; conversely, the perpendicular to a chord from the centre bisects the chord. There is one circle, and one only, which passes through three given points not in a straight line. In equal circles (or, in the same circle) (i) if two arcs subtend equal angles at the centres, they are equal; (ii) conversely, if two arcs are equal, they subtend equal angles at the centre. In equal circles (or, in the same circle) (i) if two chords are equal, they cut off equal arcs; (ii) conversely, if two arcs are equal, the chords of the arcs are equal. Equal chords of a circle are equidistant from the centre; and the converse. The tangent at any point of a circle and the radius through the point are perpendicular to one another. If two circles touch, the point of contact lies on the straight line through the centres. The angle which an arc of a circle subtends at the centre is double that which it subtends at any point on the remaining part of the circumference. Angles in the same segment of a circle are equal; and, if the line joining two points subtends equal angles at two other points on the same side of it, the four points lie on a circle. The angle in a semicircle is a right angle; the angle in a segment greater than a semicircle is less than a right angle; and the angle in a segment less than a semicircle is greater than a right angle. |