## Plane Geometry: With Problems and Applications |

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### Common terms and phrases

ABCD altitude APPLICATIONS arcs axioms base bisector bisects called Chapter chord circle circumscribed coincide common Compare complete congruent connecting construct corresponding Definition determine diagonal diameter difference distance divided Draw drawn equal equilateral triangle EXERCISES feet figure Find the area Find the radius fixed formed four geometric Give given greater half Hence hexagon hypotenuse inches included inscribed intersect isosceles length less lies line-segment means measure meet middle points opposite parallel parallelogram passes perimeter perpendicular placed plane polygon possible preceding PROBLEM proof proportional Prove radii ratio rectangle regular regular hexagon regular polygon respectively right angle right triangle segment semicircle Show shown sides similar SOLUTION square straight line SUGGESTION symmetry tangent THEOREM trapezoid triangle unit varies vertex vertices whole width

### Popular passages

Page 215 - If two triangles have two sides of the one equal to two sides of the other...

Page 35 - An exterior angle of a triangle is equal to the sum of the two opposite interior angles.

Page 22 - Any side of a triangle is less than the sum of the other two sides...

Page 113 - Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides.

Page 273 - This textbook may be borrowed for two weeks, with the privilege of renewing it once. A fine of five cents a day is incurred by failure to return a book on the date when it is due. The Education Library is open from 9 to 5 daily except Saturday when it closes at 12.30.

Page 52 - 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 174 - The areas of two regular polygons of the same number of sides are to each other as the squares of their radii, or as the squares of their apothems.

Page 153 - The formula states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the base and altitude.

Page 219 - Find the locus of a point such that the difference of the squares of its distances from two fixed points is a constant.

Page 202 - The area of a rectangle is equal to the product of its base and altitude.