The Essentials of Geometry (plane)D.C. Heath & Company, 1898 - 242 σελίδες |
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Αποτελέσματα 1 - 5 από τα 36.
Σελίδα 47
... diagonal is a straight line joining two opposite vertices ; as AC . 104. A Trapezium is a quadrilateral no two of whose sides . are parallel . A Trapezoid is a quadrilateral two , and only two , of whose sides are parallel . A ...
... diagonal is a straight line joining two opposite vertices ; as AC . 104. A Trapezium is a quadrilateral no two of whose sides . are parallel . A Trapezoid is a quadrilateral two , and only two , of whose sides are parallel . A ...
Σελίδα 48
... diagonal AC . In A ABC and ACD , AC = AC . Again , since Ils BC and AD are cut by AC , ZBCA : = Z CAD . [ If two | s are cut by a transversal , the alt . int . △ are equal . ] ( § 72 ) In like manner , since Ils AB and CD are cut by AC ...
... diagonal AC . In A ABC and ACD , AC = AC . Again , since Ils BC and AD are cut by AC , ZBCA : = Z CAD . [ If two | s are cut by a transversal , the alt . int . △ are equal . ] ( § 72 ) In like manner , since Ils AB and CD are cut by AC ...
Σελίδα 49
... diagonal of a parallelogram divides it into two equal triangles . PROP . XXXVIII . THEOREM . 109. ( Converse of Prop . XXXVII , I. ) If the opposite sides of a quadrilateral are equal , the figure is a parallelogram . B A Given , in ...
... diagonal of a parallelogram divides it into two equal triangles . PROP . XXXVIII . THEOREM . 109. ( Converse of Prop . XXXVII , I. ) If the opposite sides of a quadrilateral are equal , the figure is a parallelogram . B A Given , in ...
Σελίδα 50
... diagonals of a parallelogram bisect each other . B E D C Given diagonals AC and BD of ABCD intersecting at E. To Prove AE - EC and BE ED . ( Prove △ AED = △ BEC , by § 68. ) Note . The point E is called the centre of the parallelogram ...
... diagonals of a parallelogram bisect each other . B E D C Given diagonals AC and BD of ABCD intersecting at E. To Prove AE - EC and BE ED . ( Prove △ AED = △ BEC , by § 68. ) Note . The point E is called the centre of the parallelogram ...
Σελίδα 51
... diagonals of quadrilateral ABCD , bisecting each other at E. To Prove ABCD a □ . ( Prove A AEDA BEC , by § 63 ; then AD = BC ; in AB = CD , and the theorem follows by § 109. ) like manner , PROP . XLII . THEOREM . 113. Two ...
... diagonals of quadrilateral ABCD , bisecting each other at E. To Prove ABCD a □ . ( Prove A AEDA BEC , by § 63 ; then AD = BC ; in AB = CD , and the theorem follows by § 109. ) like manner , PROP . XLII . THEOREM . 113. Two ...
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AB² AC and BC AC² adjacent angles altitude angles are equal apothem approach the limit arc BC base and altitude BC² bisector bisects CD² 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 given square homologous sides hypotenuse isosceles triangle line CD line joining measured by arc middle point non-parallel sides number of sides opposite sides parallel parallelogram perimeter perpendicular 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 similar triangles subtended tangent THEOREM transversal trapezoid triangle is equal vertex ZAOB
Δημοφιλή αποσπάσματα
Σελίδα 73 - A chord is a straight line joining the extremities of an arc ; as AB.
Σελίδα 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.
Σελίδα 122 - To express that the ratio of A to B is equal to the ratio of C to D, we write the quantities thus : A : B : : C : D ; and read, A is to B as C to D.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 38 - An exterior angle of a triangle is equal to the sum of the two opposite interior angles.
Σελίδα 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.
Σελίδα 193 - 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 142 - In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.