# The Elements of Plane Geometry

S. Sonnenschein & Company, 1903
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### Ресйечьменб

 SYLLABUS OF GEOMETRICAL CONSTRUCTIONS 7 Section I 14 Triangles 21 Section III 46 Problems 65 Loci 81 Equality of Areas 97 Problems 122
 Section V 49 81 56 Two Circles 64 Section VII 72 123 85 The Circle in Connection with Areas 87 Definitions 101 JAGE 117

 Definitions 134 Elementary Properties 9 9 14 Section II 16 Section IV 37 46 42
 Of Ratio and Proportion 127 Fundamental Geometrical Propositions 144 Proportion 151 Areas 169 Loci and Problems 184

### ДзмпцйлЮ брпурЬумбфб

УелЯдб 41 - 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.
УелЯдб 182 - 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.
УелЯдб 67 - 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.
УелЯдб 167 - 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.
УелЯдб 32 - Any two sides of a triangle are together greater than the third side.
УелЯдб 34 - 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.
УелЯдб 23 - The lines drawn from the extremities of the base of an isosceles triangle to the middle points of the opposite sides are equal.
УелЯдб 63 - 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.
УелЯдб 39 - 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.
УелЯдб 106 - 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.