## Plane geometry |

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### Common terms and phrases

ABCD acute angle adjacent angles adjoining figure altitude angles are equal apothem base bisector bisects central angle chord circle of radius circumscribed polygons Conclusion congruent Construct a triangle Determine diagonals diameter divide Draw drawn equal angles equal circles equal respectively equal sides equidistant equilateral triangle extended exterior angle geometry given circle given point given segment given triangle Hence homologous sides hypotenuse Hypothesis intercepted intersect isosceles trapezoid isosceles triangle length mean proportional median meeting mid-point Note number of sides opposite sides parallel parallelogram pentagon perigon perimeter perpendicular perpendicular-bisector Proposition pupil quadrilateral radii ratio rectangle regular hexagon regular inscribed polygons regular polygon rhombus right angle right triangle secant similar triangles straight angle straight line Suggestion Supplementary Exercises tangent Theorem trapezoid triangle ABC triangle equal Try to prove vertex

### Popular passages

Page 165 - The sum of the squares of the two legs of a right triangle is equal to the square of the hypotenuse.

Page 206 - The areas of two similar triangles are to each other as the squares of any two homologous sides.

Page 165 - The square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.

Page 82 - If two sides of a triangle are unequal, the angles opposite are unequal, and the greater angle is opposite the greater side.

Page 169 - If two polygons are composed of the same number of triangles, similar each to each and similarly placed, the polygons are similar.

Page 104 - A tangent to a circle is perpendicular to the radius drawn to the point of contact.

Page 85 - If two triangles have two sides of one equal, respectively, to two sides of the other...

Page 203 - 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 298 - Prove that an equiangular polygon inscribed in a circle is regular if the number of sides is odd. Ex.

Page 193 - Two rectangles are to each other as the products of their bases and altitudes. For if R = a6, and R