Plane Geometry: A Modern TextJohn C. Winston Company, 1927 - 399 σελίδες |
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Συχνά εμφανιζόμενοι όροι και φράσεις
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 Find the area geometry given circle given line HINT hypotenuse inscribed angle intersect isosceles trapezoid isosceles triangle line joining 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 straight angle straight line Supplementary Exercises tangent Theorem trapezoid triangle equals unequal vertex
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 185 - 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.
Σελίδα 397 - 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.
Σελίδα 290 - 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'*
Σελίδα 275 - 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.
Σελίδα 186 - 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.
Σελίδα 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.
Σελίδα 386 - We assume that but one straight line can be drawn through a given point parallel to a given straight line.
Σελίδα 382 - The formula states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the base and altitude.
Σελίδα 256 - 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. D c A' D' Hyp. In triangles ABC and A'B'C', ZA = ZA'. To prove AABC = ABxAC. A A'B'C' A'B'xA'C' Proof. Draw the altitudes BD and B'D'.