## Plane Geometry |

### Other editions - View all

### Common terms and phrases

ABCD acute angle adjacent adjacent angles altitude apothem Apply Sec base bisects called chord circumference circumscribed circumscribed circle coincide congruent Connect construct a square COROLLARY corresponding sides decagon diagonals diameter divided drawn end points equal angles equiangular equiangular polygon equidistant equilateral triangle exterior angles figure Find a point Find the area formed geometry given angle given circle given line given point given segment given straight line Hence hypotenuse intersect isosceles triangle length line joining line segment locus measure median mid-point number of degrees number of sides pair parallel parallelogram perimeter perpendicular bisector Proof PROPOSITION prove quadrilateral radii radius ratio rectangle regular inscribed regular polygon rhombus right angle right triangle secant semicircle Show Similarly straight angle subtended Suggestion tangent THEOREM trapezoid triangle ABC vertex vertices

### Popular passages

Page 85 - The line joining the mid-points of two sides of a triangle is parallel to the third side, and equal to half the third side.

Page 56 - If two triangles have two sides of one equal, respectively, to two sides of the other, but the included angle of the first greater than the included angle of the second, the third side of the first is greater than the third side of the second...

Page 83 - If two sides of a quadrilateral are equal and parallel, the figure is a parallelogram.

Page 216 - Since the number of square units in the area of a rectangle is equal to the product of the number of...

Page 20 - In a right triangle, the side opposite the right angle is called the hypotenuse and is the longest side.

Page 192 - ... they have an angle of one equal to an angle of the other and the including sides are proportional; (c) their sides are respectively proportional.

Page 87 - The sum of the interior angles of a polygon is equal to twice as many right angles as the polygon has sides, less four right angles.

Page 80 - Two triangles are congruent if two sides and the included angle of one are equal respectively to two sides and the included angle of the other.

Page 57 - If two triangles have two sides of the one equal respectively to two sides of the other, but the third side of the first greater than the third side of the second, then the included angle of the first is greater than the included angle of the second. [Converse of Prop. XXXI.] B' b' Given A ABC and A'B'C', with b = b'; c = c'; a > a . To prove Z A> Z A'.

Page 24 - If the first of three quantities is greater than the second, and the second is greater than the third, then the first is greater than the third.