Preparatory Schools for Boys: Their Place in English Secondary Education

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H.M. Stationery Office, 1900 - 531 páginas
 

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Página 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.
Página 173 - 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 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.
Página 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...
Página 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...
Página 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'.
Página 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...
Página 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.
Página 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.
Página 172 - If two angles of a triangle be equal to one another, the sides also which subtend, or are opposite to, the equal angles, shall be equal to one another.

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