 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...BD. [I. 27. And it was shewn to be equal to it. Wherefore, the straight lines &c. QED PROPOSITION 34. THEOREM. 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. Note. A parallelogram is a four-sided... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...whole angle A CD. [Ax. 2. And the angle BAC has been shewn to be equal to the angle CDB. Therefore the opposite sides and angles of a parallelogram are equal to one another. Also the diameter bisects the parallelogram. For AB being equal to CD, and BC common, the two sides... | |
 | Robert Potts - 1868 - 434 pages
...equal to the whole angle A CD ; (ax. 2.) and the angle B-^Chas been shewn to be equal to BDC; therefore the opposite sides and angles of a parallelogram are equal to one another. Also the diameter BC bisects it. For since AB is equal to CD, and BC common, the two sides AB, BC,... | |
 | General Medical Council (Great Britain) - 1869 - 402 pages
...triangle be produced the exterior angle is greater than either of the interior opposite angles. 4. The opposite sides and angles of a parallelogram are equal to one another, and the diagonal bisects it. 5. To divide a straight line into two parts so that the rectangle contained by... | |
 | Cambridge univ, exam. papers - 1870 - 272 pages
...was soon out of sight. Miss AUSTEN, Pride and Prejudice. GROUP C FRIDAY, July 7, 1871. 11J to 1 1. 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. If the diagonals of a quadrilateral bisect... | |
 | Euclides - 1871 - 136 pages
...angles, the diagonal drawn from that angular point divides the rhombus into two equilateral triangles. The opposite sides and angles of a parallelogram are equal to one another, and the diagonal bisects it. O " -« Let ABDC be a O, and BC a diagonal of the OThen must AB = DC and AC= DB,... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...angles, the diagonal drawn from that angular point divides the rhombus into two equilateral triangles. PROPOSITION XXXIV. THEOREM. The opposite sides and...a parallelogram are equal to one another, and the diagonal bisects it. a Let ABDC be a O, and 5(7 a diagonal of the O. Then must AB = DC and AC= DB,... | |
 | Euclides - 1874 - 342 pages
...equal to the whole angle ACD (Ax. 2), and the angle BAC has been shown to be equal to BDC ; therefore, the opposite sides and angles of a parallelogram are equal to one another. Also, the diameter BC bisects it. For since AB is equal to CD and BC common, the two sides AB, BC are... | |
 | Edward Atkins - 1874 - 426 pages
...whole ^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. PROPOSITIONS. For AB being equal to CD, and BC common, The two sides... | |
 | Henry Major - 1876 - 784 pages
...describe the general policy of one of them. What would yon say of the King's power in that reign ? 1. The opposite sides and angles of a parallelogram are equal to one another, and the diameter bisects il-, that is, divides it into two equal parts. Two parallel lines cut a series of parallel lines ;... | |
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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. 
