## Plane Geometry |

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ABCD acute altitude apply arcs base bisects called chord circle circumscribed coincide common computed Conclusion congruent construction Corollary corresponding diagonals diameter distance divided Draw drawn equal equidistant equilateral triangle EXERCISES Explain exterior angles extremities fall figure Find follows formed four geometry given circle given line-segment given point greater half Hence hexagon hypotenuse Hypothesis inscribed intersect isosceles triangle joining length locate mark mean measure meet method middle points NOTE object obtained parallel parallel lines parallelogram passes perimeter placed produced proof proof is left proportional Prove quadrilateral radius ratio rectangle regular polygon relation respectively right angle right triangle scale secant segment Show shown sides similar square straight line student SUGGESTION tangent Theorem third trapezoid triangle vertex vertices Write

### Popular passages

Page 132 - If two triangles have two sides of one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second.

Page 76 - The straight line joining the middle points of two sides of a triangle is parallel to the third side and equal to half of it 46 INTERCEPTS BY PARALLEL LINES.

Page 225 - ... they have an angle of one equal to an angle of the other and the including sides are proportional; (c) their sides are respectively proportional.

Page 53 - Two triangles are congruent if two sides and the included angle of one are equal respectively to two sides and the included angle of the other. 2. Two triangles are congruent if two angles and the included side of one are equal respectively to two angles and the included side of the other.

Page 4 - PERIPHERY of a circle is its entire bounding line ; or it is a curved line, all points of which are equally distant from a point within called the center.

Page 224 - Two triangles having 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.

Page 133 - ... if two triangles have two sides of one equal, respectively, to two sides of the other...

Page 72 - There are three important theorems in geometry stating the conditions under which two triangles are congruent: 1. Two triangles are congruent if two sides and the included angle of one are equal respectively to two sides and the included angle of the other.

Page 260 - S' denote the areas of two circles, R and R' their radii, and D and D' their diameters. Then, I . 5*1 = =»!. That is, the areas of two circles are to each other as the squares of their radii, or as the squares of their diameters.