## Preparatory Schools for Boys: Their Place in English Secondary Education |

### From inside the book

Page 165

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**Two triangles have an angle of the one equal to an angle of the other , and the sides**about those angles proportionals . Prove the triangles similar . VI . AB is a tangent to a circle and ACD is a line cutting the circle at C and D ...### Other editions - View all

### Common terms and phrases

allowed angle Assistant Masters athletic average boarding school boy's classical clever boys co-education course cricket curriculum desirable devoted difficulty drawing elementary English ETON COLLEGE Euclid experience Fabian Ware fact feeling football French Geography German girls give given grammar Greek hand headmaster important intellectual interest JOHN MENZIES knowledge language large number Latin less lessons lines MARLBOROUGH COLLEGE Mathematics means method mind necessary number of boys object opinion organised paper parents perhaps play possible practice preparation Preparatory School Masters Preparatory Schoolmasters present Public Schools pupils question reason recognised regard ROSSALL SCHOOL Rugby RUGBY SCHOOL rule sanatorium scholars scholarship examinations secondary side singing standard success taught teacher teaching things time-table tion Translate triangle viva voce week WINCHESTER COLLEGE write young boys δὲ καὶ

### Popular passages

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 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.

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.

Page 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.