 | Education Department,London - 1876 - 1010 pages
...another parallelogram and parallel to its diagonals, this parallelogram will be double of the other. 1. The opposite sides and angles of a parallelogram are equal to one another. 2. Triangles upon equal bases and between the snme parallels are equal to one another. The line FDEG... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...equal to the whole angle A CD ; (ax. 2.) and the angle IMC has been shewn to be equal to BDC; therefore the opposite sides and angles of a parallelogram are equal to one another. Also the diameter 7? C bisects it. For since AB is equal to CD, and BC common, the two sides AB, BC,... | |
 | Edward Atkins - 1876 - 130 pages
...whole i^ACD. angleACD(Ax.2). And the angle BAC has been shown to be equal to the angle BDC; therefore the opposite sides and angles of a parallelogram are equal to one another. Also the diagonal bisects it, For AB being equal to CD, and BC common, The two sides AB, BC are equal... | |
 | 1876 - 586 pages
...greater base shall be greater than the angle contained by the sides equal to them, of the other. 2. The opposite sides and angles of a parallelogram are equal to one The longer side of a parallelogram is double of the shorter. INDIA» О. В. Prove that the straight... | |
 | D. Tierney - 1877 - 126 pages
...their other angles shall be equal, each to each, viz. those to which the equal sides are opposite. 2. The opposite sides and angles of a parallelogram are...equal to one another, and the diameter bisects it, that is, divides it into two equal parts. From the angle A of the parallelogram ABCD the straight line... | |
 | Edward Atkins - 1877 - 72 pages
...the whole angle ACD (Ax. 2). And the angle BAC has been shown to be equal to the angle BDC; therefore the opposite sides and angles of a parallelogram are equal to one another. Also the diagonal bisects it. "For AB being equal to CD, and BC common, The two sides AB, BC are equal... | |
 | Elias Loomis - Conic sections - 1877 - 458 pages
...angles must be equal to four right angles (Ax. 3). Therefore, if all the sides, etc. PROPOSITION xxx. THEOREM. The opposite sides and angles of a parallelogram are equal to each other. JL _ p Let ABCD be a parallelogram ; then will its \ ,.---''\ opposite sides and angles... | |
 | 1878 - 632 pages
...their other angles shall be equal, each to each, viz., those to which the equ«l sides are opposite. 2. The opposite sides and angles of a parallelogram are equal to one another, and the diameter bisects the parallelogram, that is. divides it into two equal parts. From the angle A of the parallelogram... | |
 | Āryabhaṭa - 1878 - 100 pages
...to the whole angle ADC. And the angle BAD has 1been proved to be equal to the angle BCD. Therefore the opposite sides and angles of a parallelogram are equal to one another. Also the diagonal BD bisects the parallelogram AC, because the two triangles ABD, BCD, are equal. Similarly... | |
 | J T. Amner - 1878 - 226 pages
...; what other condition is required that the triangles may be equal in all respects ? Section 2. 1. The opposite sides and angles of a parallelogram are equal to one another. If the four corners of a square piece of paper are folded to meet in the centre of the square, another... | |
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And because the angle ABC is equal to the angle BCD, and the angle CBD to the angle ACB, therefore the whole angle ABD is equal to the whole angle ACD • (ax. 
