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" And because the angle ABC is equal to the angle BCD, and the angle CBD to the angle ACB... "
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Page 30
by Euclid - 1835 - 513 pages
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A First Course of Geometry

130 pages
...opposite directions and parallel to a straight line BC ; show that PAQ is a straight line. 36. PROP. 5. The opposite sides and angles of a parallelogram are equal to one another and each diagonal bisects the parallelogram. Let ABCD be a parallelogram and BD one of its diagonals...
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The Surveyor, Volumes 5-6

Surveying - 1892 - 758 pages
...perpendicular to the straight line joining the intersection of the diagonals of the two former. 3. The opposite sides and angles of a parallelogram are equal to one another, and the diagonal bisects it. 4. A person wishes to find the length of an inaccessible wall, and is...
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The Elements of Plane Geometry

Euclid - 1845 - 336 pages
...lines, each to each, the first pair make the same angles with one another as the second. 66. PROP. 5. The opposite sides and angles of a parallelogram are equal to one another, and each diagonal bisects the parallelogram. Let A BCD be the parallelogram and BD one of its diagonals;...
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Parliamentary Papers, Volume 22

Great Britain. Parliament. House of Commons - Great Britain - 1876 - 580 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. INDIAN CE Prove that the straight lines...
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The Bombay University Calendar, Volume 2

University of Bombay - 1906 - 340 pages
...Through any point P draw a straight line meeting them at D and E such that AD may be equal to AE. 2. The opposite sides and angles of a parallelogram are equal to one 15 another, and each diagonal bisects the parallelogram. If ABC be a tmngle right-angled at A, and...
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