Essentials of Geometry (plane).Leach, Shewell & Company, 1898 - 242 pàgines |
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Frases i termes més freqüents
AB² AC and BC AC² AD² adjacent angles Algebra altitude angles are equal apothem approach the limit arc BC base and altitude BC² bisector bisects centre chord circumference circumscribed construct the triangle Converse of Prop decagon diagonals diameter Draw line EFGH equal angles equal respectively equally distant equiangular polygon equilateral triangle equivalent exterior angle figure Given line given point hexagon homologous sides hypotenuse isosceles triangle line joining measured by arc middle point non-parallel sides number of sides opposite sides parallel parallelogram perimeter perpendicular Plane points of sides polygons AC produced Prove Proof quadrilateral radii radius ratio rectangle regular inscribed regular polygon rhombus right angles right triangle secant segment side BC subtended tangent THEOREM transversal trapezoid triangle ABC triangles are equal vertex Wells's ZAOB
Passatges populars
Pàgina 49 - ... the three sides of one are equal, respectively, to the three sides of the other. 2. Two right triangles are congruent if...
Pàgina 124 - 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 term.
Pàgina 151 - If one leg of a right triangle is double the other, the perpendicular from the vertex of the right angle to the hypotenuse divides it into segments which are to each other as 1 to 4.
Pàgina 40 - 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, then the third side of the first is greater than the third side of the second.
Pàgina 192 - 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.
Pàgina 124 - In any proportion the terms are in proportion by Alternation ; that is, the first term is to the third as the second term is to the fourth.
Pàgina 138 - If two polygons are composed of the same number of triangles, similar each to each and similarly placed, the polygons are similar.
Pàgina 224 - The perpendiculars from the vertices of a triangle to the opposite sides are the bisectors of the angles of the triangle formed by joining the feet of the perpendiculars.
Pàgina 58 - The straight line joining the middle points of two sides of a triangle is parallel to the third side, and equal to half of it.
Pàgina 49 - If the opposite sides of a quadrilateral are equal, the figure is a parallelogram.