| 1876 - 584 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. INDIAğ 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... | |
| Edward Atkins - 1877 - 72 pages
...it was shown to be equal to it. Therefore, the straight lines, &c. QED Proposition. 34. — Theorem. **The opposite sides and angles of a parallelogram are equal to one another,** and the diagonal bisects the parallelogram — tluit is, divides it into two equal parts. Let ACDB... | |
| Elias Loomis - Geometry - 1877 - 458 pages
...angle ABC is equal to the whole angle ADC. But the angle BAD has been proved equal to the angle BCD ; **therefore the opposite sides and angles of a parallelogram are equal to** each other. Oor.l. Two parallels, AB, CD, comprehended between two other parallels, AD, BC, are equal... | |
| Āryabhaṭa - 1878 - 100 pages
...equal (Ax. 2) 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... | |
| 1878 - 634 pages
...their other angles shall be equal, each to each, viz., those to which the equĞl 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... | |
| Edward Harri Mathews - 1879 - 94 pages
...bisecting lines, a line be drawn to the opposite angle of the triangle, it will bisect that angle. 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. Prove further that, if from any... | |
| Moffatt and Paige - 1879 - 474 pages
...B D. Therefore, the straight lines which join the extremities, etc. QED Proposition XXXIV. Theorem. **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. Let ACDB be a parallelogram,... | |
| 1880 - 594 pages
...farms, must have resembled the most flourishing parts of Lombardy or the Netherlands." Euclid. — i. **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. Two parallel lines cut a series... | |
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