Plane Geometry: A Modern Text |
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Common terms and phrases
ABCD adjacent angles altitude angle formed angles are equal angles equal annexed figure apothem Axiom bisects called central angle circumference circumscribed common external tangent congruent triangles Construction Corollary corresponding sides diagonals diameter Draw drawn equal angles equal circles equiangular polygon equilateral triangle exterior angle FACTS Find the area geometry given circle given line HINT hypotenuse inscribed angle interior intersect isosceles trapezoid isosceles triangle line segments locus mean proportional median Method mid-points mutually equiangular number of sides opposite sides Oral Exercises pair parallel lines parallelogram perimeter perpendicular bisector Proof Proposition prove pupil Pythagorean Theorem quadrilateral radii radius rectangle regular hexagon regular polygon rhombus right angle right triangle secant similar polygons similar triangles square STATEMENTS straight angle straight line Supplementary Exercises tangent Theorem trapezoid triangle equals unequal vertex
Popular passages
Page 48 - 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 93 - The line which joins the mid-points of two sides of a triangle is parallel to the third side and equal to one half of it.
Page 187 - If four quantities are in proportion, they are in proportion by Inversion; that is, the second term is to the first as the fourth term is to the third.
Page 263 - If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I.
Page 299 - 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.
Page 292 - The areas of two circles are to each other as the squares of their radii, or as the squares of their diameters. S TrR2 R* If1' = ~R^ = "cT* = -D'*
Page 277 - The areas of two regular polygons of the same number of sides are to each other as the squares of their radii, or as the squares of their apothems.
Page 188 - In any proportion the terms are in proportion by Composition; that is, the sum of the first two terms is to the first term, as the sum of the last two terms is to the third ter.n.
Page 83 - A line segment connecting a vertex of a triangle and the midpoint of the opposite side is called a median of the triangle.
Page 200 - If two triangles have two sides of the one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second. Given A ABC and A'B'C...