Elementary Geometry |
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Common terms and phrases
angle ACB angle BAC angles ABC angles AGH angles CAB angles equal bisects the angle chord circle centre circumcircle circumference coincide concyclic Const construction corresponding angles cyclic quadrilateral diagonals difference direction Draw drawn EFGH equal angles equal area equal circles equal in area equal sides equilateral EXERCISES exterior angle Geometry given circle given point given straight line greater identically equal included angles isosceles triangle Join meet mid point opposite sides pairs of angles pairs of equal pairs of sides parallel parallelogram ABCD Proof proposition quadrilateral radii radius rect rectangle contained regular polygon right angle right bisector segment side BC sides equal square straight angle straight line BC sum of sqq supplementary tangent third side triangle ABC vertex
Popular passages
Page 77 - A line segment connecting a vertex of a triangle and the midpoint of the opposite side is called a median of the triangle.
Page 223 - The sum of the squares on the sides of a parallelogram is equal to the sum of the squares on the diagonals.
Page 111 - America, but know that we are alive, that two and two make four, and that the sum of any two sides of a triangle is greater than the third side.
Page 78 - To draw a straight line at right angles to a given straight line, from a given point in the same. Let AB be...
Page 35 - ... the three angles of a triangle are together equal to two right angles, although it is not known to all.
Page 157 - Any two sides of a triangle are together greater than the third side.
Page 158 - One of these is the proposition that any two sides of a triangle are greater than the third side.
Page 35 - Obtuse Angle. An angle greater than a right angle and less than a straight angle is called an obtuse angle.
Page 130 - If the vertices of the angles of a polygon lie on a circumference, the polygon is said to be inscribed in the circle, and the circle is called a circumscribed circle.
Page 111 - The sum of the perpendiculars from any point within an equilateral triangle to the three sides is equal to the altitude of the triangle (Fig.