## Plane Geometry: With Problems and Applications |

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### Common terms and phrases

ABCD altitude APPLICATIONS arcs 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 intersection isosceles joining 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 angles 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 223 - If two triangles have two sides of the one equal to two sides of the other...

Page 41 - An exterior angle of a triangle is equal to the sum of the two opposite interior angles.

Page 121 - Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides.

Page 60 - 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 182 - 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 161 - 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 227 - Find the locus of a point such that the difference of the squares of its distances from two fixed points is a constant.

Page 210 - The area of a rectangle is equal to the product of its base and altitude.

Page 31 - Kuclid divided unproved propositions into two classes: axioms, or "common notions," which are true of all things, such as, " If things are equal to the same thing they are equal to each other"; and postulates, which apply only to geometry, such as,