 | United States. Congress. Senate - 1880 - 1304 lapas
...equal, each to each, and also the third angle of the one equal to the third angle of the other. 3. The complements of the parallelograms, which are about,...diameter of any parallelogram, are equal to one another. 4. On the sides ЛВ, BC, CD of a parallelogram are described equilátera] triangles ABE, CDF without... | |
 | E. J. Brooksmith - 1889 - 356 lapas
...parallel to BC, and BE be drawn to bisect the angle ABC and meet DE in E, AEB will be a right angle. 3. The complements of the parallelograms which are about...of any parallelogram are equal to one another. If A BCD be a parallelogram, and from K, a point on the diagonal AC, EKF\i& drawn parallel to AD to meet... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 lapas
...inscribed in the second, and the second is said to be described about the first. PROPOSITION 43. THEOREM. The complements of the parallelograms which are about...diameter of any parallelogram are equal to one another. Let ABCD be a ||gm, of which the diameter is AC, and EH and GF the ||gms about AC, that is, through... | |
 | Rupert Deakin - 1891 - 102 lapas
...shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 43. The complements of the parallelograms which are about...diameter of any parallelogram are equal to one another. 44. To a given straight line to apply a parallelogram which shall be equal to a given triangle, and... | |
 | Great Britain. Civil Service Commission - 1896 - 112 lapas
...withjn another triangle prove that the perimeter of the former iffill be less than that of latter. 4. The complements of the parallelograms which are about the diameter of any parallelogram are equal to pne another. If through any point within a parallelogram lines be drawn parallel to the sides and of... | |
 | Eldred John Brooksmith - 1901 - 368 lapas
...attached to accuracy, .] 1. The opposite sides and angles of a parallelogram are equal to one another. 2. The complements of the parallelograms which are about...diameter of any parallelogram, are equal to one another. A point E is taken in the side AB of the parallelogram A BCD and ED and EC are joined ; prove that,... | |
 | University of Sydney - 1902 - 640 lapas
...HOUBS AND A-BALK. 1. Give a description of the method of proof called the Reductio ad Absurdum. 2. The complements of the parallelograms which are about...diameter of any parallelogram are equal to one another. 3. Find a point on a diameter of a given parallelogram such that one of the two complements, formed... | |
 | Joseph Needham - 1959 - 1146 lapas
...was an extremely modern attitude. Yang Hui proceeded to give a theoretical proof of the proposition that the complements of the parallelograms which are about the diameter of any given parallelogram are equal to one another. This is the same as the forty-third proposition of the... | |
 | Education Department - 1879 - 1118 lapas
...formed by joining the middle points of the sides of a quadrilateral is half of the quadrilateral. 7. The complements of the parallelograms, which are about...of any parallelogram, are equal to one another. If one of the parallelograms about the diameter be double of either of the complements, the other parallelogram... | |
 | University of Cambridge - 1838 - 496 lapas
...Catharine Hall. WEDNESDAY, January 10, 1838. 9 o'clock to Hi. First, Second, Third, and Fourth Classes. \. THE complements of the parallelograms which are about...diameter of any parallelogram are equal to one another. 2. Describe a square which shall be equal to a given rectilineal figure. 3. A can do a piece of work... | |
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The complements of the parallelograms, which are about the diameter of any parallelogram, are equal to one another. 
