## Conditions of Recognition, Classification, and Payment of Teachers in the Self-governing DominionsH.M. Stationery Office, 1923 - 237 páginas |

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according addition allowance angles annual annum Appendix application appointed approved Arts Assistants Australia average attendance awarded Books candidates Certificate Chemistry Class classified College completed Composition construction course Department determined Director Division Drawing Education Elementary employed English enter equal examination forms four French Geography Geometry give given Grade Head Teacher High School higher History hold Honours Infant Inspector instruction Intermediate Junior Teachers knowledge least lectures less lessons lines Management Manual Master Mathematics methods Minister Mistresses models Music Nature notes obtain paid pass period persons Physics plant position practical preparation prescribed Primary Schools Principles promotion Psychology Public pupils qualifications reading receive recommended relation salary satisfactory scale School Science Second Second Class selected simple staff standard subjects syllabus taken Teacher's Certificate teaching Technical tests Textbook Theory Third University women Writing

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Página 174 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.

Página 172 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.

Página 172 - 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.

Página 172 - 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 Examiners to form part of a systematic treatment of the subject...

Página 172 - 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 Examiners 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 the sequence of their treatment.

Página 173 - 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.

Página 173 - If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle ; the angles which this line makes with the line touching the circle, shall be equal to the angles which are in the alternate segments of the circle.

Página 173 - 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.

Página 173 - In a circle, the angle in a semicircle is a right angle ; but 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.

Página 172 - ... straight lines. Construction of perpendiculars to straight lines. Construction of an angle equal to a given angle. 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 or into parts in any given proportions.