Drill Book in Plane GeometryPalmer Company, 1922 |
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acute angle adjacent angles altitude angle-bisectors angles are equal apothem axiom basic method bisects central angle CHAPTER chord circles are tangent circumference circumscribed circle congruent triangles Construct a square Construct a triangle corresponding sides Define diagonal diameter equal angles equal circles equal respectively equally distant equals one-half equals the product equilateral triangle exterior figure Find a point Find the area Find the locus geometry given line given point given straight line given triangle greater hypotenuse included angle inscribed angle interior angles intersect isosceles triangle line joining lines drawn locus of points median Method is Art methods of proving middle points non-parallel sides number of sides opposite sides parallel lines parallelogram perimeter point of tangency proof proving lines quadrilateral radii ratio rectangle regular inscribed regular polygon rhombus right angle secant similar polygons similar triangles supplementary angles theorem third side transversal trapezoid triangle ABC triangle are equal unequal vertex angle
Δημοφιλή αποσπάσματα
Σελίδα 24 - 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. Hyp. In A ABC and A'B'C' AB = A'B'; AC = A'C'; ZA>ZA'.
Σελίδα 77 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. A D A' Hyp. In triangles ABC and A'B'C', To prove AABC A A'B'C' A'B' x A'C ' Proof. Draw the altitudes BD and B'D'.
Σελίδα 8 - If two triangles have two angles and the included side of one equal respectively to two angles and the included side of the other, the triangles are congruent.
Σελίδα 18 - The line joining the middle points of two sides of a triangle is parallel to the third side and equal to half of the third side.
Σελίδα 8 - If two triangles have two sides, and the included angle of the one equal to two sides and the included angle of the other, each to each, the two triangles are equal in all respects.
Σελίδα 33 - 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 centre.
Σελίδα 73 - In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides, minus twice the product of one of these sides and the projection of the other side upon it.
Σελίδα 114 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.
Σελίδα 21 - Theorem. —A line perpendicular to one of two parallel lines is perpendicular to the other.
Σελίδα 59 - The perimeters of two regular polygons of the same number of sides, are to each other as their homologous sides, and their areas are to each other as the squares of those sides (Prop.