Plane GeometryAmerican Book Company, 1911 - 303 σελίδες |
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Σελίδα 11
... bisector of an angle is the line which divides the angle into two equal angles . * Ex . 17. Draw a line AB , neither horizontal nor vertical . ( a ) Draw freehand a line perpendicular to AB and not bisecting it : ( b ) a line bisecting ...
... bisector of an angle is the line which divides the angle into two equal angles . * Ex . 17. Draw a line AB , neither horizontal nor vertical . ( a ) Draw freehand a line perpendicular to AB and not bisecting it : ( b ) a line bisecting ...
Σελίδα 20
... bisectors of two adjacent complementary angles form an angle of 45 ° . Ex . 41. Show the relation of the bisectors of two adjacent supple- mentary angles to each other . Ex . 42. The bisectors of two pairs of vertical angles are ...
... bisectors of two adjacent complementary angles form an angle of 45 ° . Ex . 41. Show the relation of the bisectors of two adjacent supple- mentary angles to each other . Ex . 42. The bisectors of two pairs of vertical angles are ...
Σελίδα 27
... bisectors of these angles are equal ( Fig . 1 ) . Ex . 60. If two triangles are equal , the bisector of any angle of one is equal to the bisector of the corresponding angle of the other ( Fig . 2 ) . PROPOSITION III . THEOREM 107. Two ...
... bisectors of these angles are equal ( Fig . 1 ) . Ex . 60. If two triangles are equal , the bisector of any angle of one is equal to the bisector of the corresponding angle of the other ( Fig . 2 ) . PROPOSITION III . THEOREM 107. Two ...
Σελίδα 29
... bisector of the angle , two equal triangles will be formed . Ex . 65. If two medians of a triangle are perpendicular to the sides to which they are drawn , the triangle is equilateral . Ex . 66. If equal segments measured from the ...
... bisector of the angle , two equal triangles will be formed . Ex . 65. If two medians of a triangle are perpendicular to the sides to which they are drawn , the triangle is equilateral . Ex . 66. If equal segments measured from the ...
Σελίδα 30
... bisector of the angle at the vertex of an isosceles triangle is perpendicular to the base and bisects it . 113. Cor . II . An equilateral triangle is also equi- angular . Ex . 68. The bisectors of the base angles of an isosceles ...
... bisector of the angle at the vertex of an isosceles triangle is perpendicular to the base and bisects it . 113. Cor . II . An equilateral triangle is also equi- angular . Ex . 68. The bisectors of the base angles of an isosceles ...
Άλλες εκδόσεις - Προβολή όλων
Plane Geometry Virgil Snyder,Daniel D Feldman,J H B 1861 Tanner Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Συχνά εμφανιζόμενοι όροι και φράσεις
acute angle adjacent angles altitude angle formed arc degrees ARGUMENT REASONS assigned value base angles bisector bisects chord circumscribed common measure Construct a triangle diagonals diameter discussion are left divided Draw equal arcs equal circles equal respectively equidistant equilateral triangle equivalent exercise exterior angles figure Find the area Find the locus geometric given circle given line given point given triangle HINT hypotenuse inches included angle inscribed angle intercepted arc isosceles trapezoid isosceles triangle length limit line drawn line joining line of centers mean proportional measure-number median mid-points number of sides obtuse parallel parallelogram perimeter perpendicular prolonged PROPOSITION prove quadrilateral radii radius ratio rectangle regular polygon rhombus right angles right triangle secant segments similar triangles straight line student tangent THEOREM third side trapezoid triangle ABC unequal variable vertex angle vertices
Δημοφιλή αποσπάσματα
Σελίδα 281 - The bisector of an angle of a triangle divides the opposite side into segments proportional to the adjacent sides.
Σελίδα 268 - S' denote the areas of two circles, R and R' their radii, and D and D' their diameters. Then, I . 5*1 = =»!. That is, the areas of two circles are to each other as the squares of their radii, or as the squares of their diameters.
Σελίδα 76 - If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I.
Σελίδα 179 - For, if we have given ab' = a'b, then, dividing by bb', we obtain Corollary. The terms of a proportion may be written In any order which will make the product of the extremes equal to the product of the means.
Σελίδα 95 - 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.
Σελίδα 195 - The square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other two sides. 3. In a right triangle the square of either leg is equal to the square of the hypotenuse minus the square of the other leg.
Σελίδα 13 - If two angles of a triangle are equal, the sides opposite are equal.
Σελίδα 96 - A line joining the midpoints of the non.parallel sides of a trapezoid is parallel to the base, and equal to half the sum of the bases.
Σελίδα 64 - ... if two triangles have two sides of one equal, respectively, to two sides of the other...
Σελίδα 94 - If three or more parallel lines intercept equal segments on one transversal, they intercept equal segments on any other transversal.