## Plane Geometry |

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### Common terms and phrases

ABCD acute angle adjacent angles altitude apothem base bisects chord circumference circumscribed coincide construct a square Construct a triangle denoted diagonal diameter divided draw a line equal angles equal circles equiangular polygon equidistant equilateral triangle EXERCISES exterior angle figure Find the area Find the radius geometric given angle given circle given line given point given triangle greater Hence homologous sides hypotenuse inscribed angle inscribed polygon intersect isosceles trapezoid isosceles triangle LAOB length Let the pupil line drawn measured by arc median method midpoint number of sides parallel lines parallelogram perimeter plane PROBLEM produced Prop pupil supply Q. E. D. Ex quadrilateral radii ratio rectangle regular inscribed regular polygon rhombus right angles right triangle secant segments similar triangles symmetry tangent THEOREM third side trapezoid triangle ABC vertex angle vertices

### Popular passages

Page 82 - Prove analytically that the medians of a triangle meet in a point. 70. Prove analytically that the perpendiculars from the vertices of a triangle to the opposite sides meet in a point.

Page 78 - The line joining the midpoints of two sides of a triangle is parallel to the third side and equal to one-half of it.

Page 88 - The median to the base of an isosceles triangle is perpendicular to the base.

Page 239 - If two triangles have an angle of one equal to an angle of the other, and...

Page 47 - If two triangles have two sides of one equal respectively to two sides of the other...

Page 255 - If two triangles have two sides of one equal to two sides of the other but the third side of the first greater than the thin!

Page 269 - The circumference of a circle is greater than the perimeter of any inscribed polygon.

Page 100 - If the diagonals of a quadrilateral bisect each other at right angles, the figure is a rhombus.

Page 115 - In the same circle or in equal circles, if two chords are unequally distant from the center, they are unequal, and the chord at the less distance is the greater.

Page 74 - Quadrilateral ; of five sides a Pentagon ; of six sides a Hexagon ; of seven sides a Heptagon ; of eight sides an Octagon ; of nine sides a Nonagon ; of ten sides a Decagon ; of twelve sides a Dodecagon.