 | American fiction - 1896 - 564 pages
...out at random, 'A History of Mathematics. By F. Cajori. Macmillan & Co., New York. (A) THEOREM : — If the opposite sides of a quadrilateral are equal, the figure is a parallelogram. Let the figure ABCE, be a quadrilateral having BC equal AE and AB equal EC. To prove ABCE a parallelogram.... | |
 | Michigan. Department of Public Instruction - Education - 1896 - 710 pages
...regular polygon is equal to one-half the product of its apothem into its perimeter. 10. Demonstrate: If the opposite sides of a quadrilateral are equal, the figure is a parallelogram. GRAMMAR. 1. Give the syntax of that in each of the following sentences: (a) Fall he that must, and... | |
 | Henry W. Keigwin - Geometry - 1897 - 254 pages
...equal. (3) A square is a rectangle in which all the sides are equal. PROPOSITION XXIII. THEOREM. 108. If the opposite sides of a quadrilateral are equal, the figure is a parallelogram. PROPOSITION XXIV. THEOREM. 109. If two .tides of a quadrilateral are equal and parallel, the figure... | |
 | James Howard Gore - Geometry - 1898 - 232 pages
...diagonal of a parallelogram divides it into two equal triangles. EXERCISES. 1. Show conversely, that if the opposite sides of a quadrilateral are equal, the figure is a parallelogram. 2. It two sides of a quadrilateral are equal and parallel, tlie figure is a parallelogram. 3. If one... | |
 | Webster Wells - Geometry - 1898 - 264 pages
...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. Given, in quadrilateral ABCD, AB = CD and BC = AD. To Prove ABCD a O. Proof. Draw diagonal AC. . In... | |
 | Harvard University - Geometry - 1899 - 39 pages
...angles are equal. THEOREM XXIII. The diagonals of a parallelogram bisect each other. THEOREM XXIV. If the opposite sides of a quadrilateral are equal, the figure is a parallelogram. THEOREM XXV. If two opposite sides of a quadrilateral are equal and parallel, the figure is a parallelogram.... | |
 | George Albert Wentworth - Geometry, Modern - 1899 - 272 pages
...are everywhere equally distant. For if AB and DC are parallel, A B PROPOSITION XXXIV. THEOREM. 182. If the opposite sides of a quadrilateral are equal, the figure is a parallelogram. Let the figure ABCE be a quadrilateral, having BC equal to AE and AB to EC. To prove that the figure... | |
 | William James Milne - Geometry, Modern - 1899 - 258 pages
...of a quadrilateral is it? 2. How do the opposite angles of a parallelogram compare in size? Theorem. If the opposite sides of a quadrilateral are equal, the figure is a parallelogram. Data: Any quadrilateral, as ABCD, in which AB = DC and AD = BC. To prove ABCD a, parallelogram. Proof.... | |
 | Webster Wells - Geometry - 1899 - 424 pages
...parallelogram divides it into two equal triangles. PROF. XXXVIII. THEOREM. 109. (Converse of Prop. XXXVII, I.) If the opposite sides of a quadrilateral are equal, the figure is a parallelogram. Given, in quadrilateral ABCD, AB = CD and BC = AD. To Prove ABCD a O. Proof. Draw diagonal AC. In A... | |
 | Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...and parallel, and the figure is a parallelogram. HINT. Draw a diagonal. Proposition 59. Theorem. 71. If the opposite sides of a quadrilateral are equal, the figure is a parallelogram. Ex. 96. The diagonals of a rhombus bisect its angles. Ex. 97. The perpendiculars drawn from two opposite... | |
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If the opposite sides of a quadrilateral are equal, the figure is a parallelogram. 
