# Stewart's guide-book to the queen's scholarship and certificate examinations, and to public elementary schools and training schools

### Popular passages

Page 94 - If a straight line meets two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles...
Page 11 - At length the freshening western blast Aside the shroud of battle cast; And, first, the ridge of mingled spears Above the brightening cloud appears; And in the smoke the pennons flew , As in the storm the white sea-mew.
Page 95 - If, from the ends of the side of a triangle, there be drawn two straight lines to a point within the triangle, these shall be less than, the other two sides of the triangle, but shall contain a greater angle. Let...
Page 98 - In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square on the side subtending the obtuse angle is greater than the squares on the sides containing the obtuse angle, by twice the rectangle contained by the side on which, when produced, the perpendicular falls, and the straight line intercepted without the triangle, between the perpendicular and the obtuse angle.
Page 97 - If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the parts.
Page 102 - To read a short paragraph from a book not confined to words of one syllable.
Page 100 - A tangent to a circle is perpendicular to the radius drawn to the point of contact.
Page 97 - To a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle.
Page 94 - Parallel straight lines are such as are in the same plane, and which being produced ever so far both ways, do not meet.
Page 100 - 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.