✨ Text of legislation
Nov. 29.] THE NEW ZEALAND GAZETTE. 3033
Construction of parallels to a given straight line.
Simple cases of the construction from sufficient data of triangles and quadrilaterals.
Divisions of straight lines into a given number of equal parts or into parts in any given proportions.
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.
Construction of a fourth proportional to three given straight lines and a mean proportional to two given straight lines.
Construction of regular figures of three, four, six, or eight sides in or about a given circle.
Construction of a square equal in area to a given polygon.
Determination by measurement of the ratio of the circumference of a circle to its diameter.
Approximate determination of the area of a circle.
SECTION B (THEORETICAL).
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.
If there are three or more parallel straight lines, and the intercepts made by them on any straight line that cuts them are equal, then the corresponding intercepts on any other straight line that cuts them are also equal.
Triangles and other 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 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.
C
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NZ Gazette 1906, No 98
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Regulations for Examination and Classification of Teachers
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🎓 Education, Culture & Science26 November 1906
Teacher certification, Examination requirements, Geometrical constructions, Theoretical geometry, Parallel lines, Triangles, Quadrilaterals, Circles, Polygons, Mathematical ratios