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able allowed answers average beginning believe better boys classical consider considerable course curriculum deal desirable devoted difficulty direction doubt drawing effect English entrance equal examination experience fact feeling French gain Geography girls give given grammar Greek ground hand head headmaster important interest kind knowledge language Latin least less lessons lines masters Mathematics means method mind natural necessary object opinion parents perhaps physical play position possible practice preparation Preparatory School present probably Public Schools pupils question reason regard rule scholarship schoolmasters seems side singing standard success taken taught teacher teaching term things thought Translate week whole write young
Page 130 - Paints with gold the village spire. Philomel forsakes the thorn, Plaintive where she prates at night, And the lark, to meet the morn, Soars beyond the shepherd's sight.
Page 166 - 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.
Page 157 - 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 158 - If the angle of a triangle be divided into two equal angles, by a straight line which also cuts the base ; the segments of the base shall have the same ratio which the other sides of the triangle have to one another...
Page 161 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. D c A' D' Hyp. In triangles ABC and A'B'C', ZA = ZA'. To prove AABC = ABxAC. A A'B'C' A'B'xA'C' Proof. Draw the altitudes BD and B'D'.
Page 374 - I cannot say that they act and re-act exactly after the same manner in which the soul and body do upon each other: Yet doubtless there is a communication between them of some kind; and my opinion rather is, that there is something in it more of the manner of electrified bodies, — and that, by means of the heated parts of the rider, which come immediately into contact with the back of the...
Page 173 - If from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it; the rectangle contained by the whole line which cuts the circle, and the part of it without the circle, shall be equal to the square on the line which touches it.
Page 167 - If the vertical angle of a triangle be 'bisected 'by a straight line which also cuts the base, the rectangle contained by the sides of the triangle is equal to the rectangle contained by the segments of the base, together with the square on the straight line which bisects the angle.