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ABē ABCD acute angle adjacent angles altitude apothem base bisects chord circumference circumscribed circumscribed circle 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 straight line given triangle greater Hence homologous sides hypotenuse inscribed angle inscribed polygon intersect isosceles trapezoid isosceles triangle LAOB length Let the pupil line drawn 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 tangent THEOREM third side trapezoid triangle ABC vertex vertex angle vertices
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 103 - 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 211 - If from a point without a circle a secant and a tangent are drawn, the tangent is the mean proportional between the whole secant and its external segment.
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 103 - A chord is a straight line joining the extremities of an arc.
Page 47 - If two triangles have two sides of one equal respectively to two sides of the other...
Page 114 - In the same circle or in equal circles, if two chords are unequal, they are unequally distant from the center, and the greater chord is at the less distance.
Page 315 - Find the area of a regular hexagon inscribed in a circle whose diameter is twelve inches.