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### 目次

 Problems 122 The Circle 9 Angles at the Centre and Sectors 16 16 Angles in Segments 37 37 Tangents 49 49 Two Circles 64 64
 Fundamental Geometrical Propositions 144 Proportion 151 Areas 169 Loci and Problems 184 Definition c 197

### 人気のある引用

41 ページ - 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.
182 ページ - 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 of the line which touches it.
67 ページ - A circle is a plane figure contained by one line, which is called the circumference, and is such that all straight lines drawn from a certain point within the figure to the circumference, are equal to one another.
167 ページ - 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.
32 ページ - Any two sides of a triangle are together greater than the third side.
34 ページ - Of all the straight lines that can be drawn to a given straight line from a given point outside it, the perpendicular is the shortest.
23 ページ - The lines drawn from the extremities of the base of an isosceles triangle to the middle points of the opposite sides are equal.
63 ページ - If there are three or more parallel straight lines, and the intercepts made by them on any straight line that cuts them are equal, then the corresponding intercepts on any other straight line that cuts them are also equal.
39 ページ - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
106 ページ - Iff a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and that part.