## Special Reports on Educational Subjects, Volumes 26-27H.M. Stationery Office, 1912 - Education |

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algebra analytical applied arithmetic average binomial theorem boys calculus candidates cent centre Certificate chord circle coefficient conic course cross-ratio curriculum curve decimal drawing elementary equal equation Euclid examination examples experience factors feet forces formula fractions function Geometry girls given graph graphical higher Highest Common Factor horizontal hyperbola idea inches infinitesimal calculus knowledge laboratory Leaving Certificate length line at infinity logarithms mathe Mathematics matics Matriculation means measurement Mechanics method non-specialist obtained ordinary boy paper parabola parallel parallelogram of forces pass perpendicular plane practical principles problems Prove pupils quadratic questions radius ratio rectangle right angles rule secondary schools sides simple solution square stage straight line string student syllabus taken tangent taught teachers teaching theorem tion triangle ABC Trigonometry University velocity vertical vulgar fractions weight

### Popular passages

Page 434 - 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.

Page 104 - 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.

Page 174 - While all melts under our feet, we may well grasp at any exquisite passion, or any contribution to knowledge that seems by a lifted horizon to set the spirit free for a moment, or any stirring of the senses, strange dyes, strange colours, and curious odours, or the work of the artist's hands, or the face of one's friend.

Page 105 - 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.

Page 219 - Square Measure 144 square inches = 1 square foot 9 square feet = 1 square yard...

Page 480 - If two triangles have two sides of the one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second. Given A ABC and A'B'C...

Page 106 - If a straight line touch a circle, and from the point of contact a chord be drawn, the angles which this chord makes with the tangent are equal to the angles in the alternate segments.

Page 436 - If a straight line be divided into two equal parts, and also into two unequal parts ; the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line.

Page 141 - The value attached to each question is shown in brackets after the question. But a full and correct answer to an easy question will in all cases secure a larger number of marks than an incomplete or inexact answer to a more difficult one.

Page 174 - But each man's secret standard in his mind, That casting-weight pride adds to emptiness, This, who can gratify ? for who can guess ? The bard whom pilfer'd pastorals renown, Who turns a Persian tale for half a crown...