 | Mathematical association - 1884 - 146 pages
...parallelograms about the diagonal. THEO. 4. The complements of the parallelograms about the diagonal of any parallelogram are equal to one another. Let ABCD be a parallelogram, FK, HG the complements of the parallelograms AFEH, EKCG about the diagonal AC : then shall the complement... | |
 | Euclides - 1884 - 182 pages
...or are together equal to two right angles. (8) 9. Prove that the complements of the parallelograms, which are about the diameter of any parallelogram, are equal to one another. (10) 10. ABCD is a trapezium, of which the side AB is parallel to the side CD, and its diagonals AC... | |
 | Woolwich roy. military acad - 1884 - 148 pages
...of the other as 9 to 8; find the number of sides of each polygon. 3. Prove that the complements of a parallelogram which are about the diameter of any parallelogram are equal to each other. If any point P be taken on the diagonal AC of a parallelogram A BCD, shew that the sum... | |
 | Oxford univ, local exams - 1885 - 358 pages
...of the parts may be equal to the square on the other part. 7. The complements of the parallelograms which are about the diameter of any parallelogram, are equal to one another. 8. Describe a square that shall be equal to a given rectilineal figure. TUESDAY, JUNE 10, from 9 to... | |
 | United States. Congress. Senate - United States - 1880 - 1302 pages
...third angle of the one equal to the third angle of the other. 3. The complements of the parallelograms, which are about, the 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 - Mathematics - 1889 - 354 pages
...the other as 9 to 8 ; find the number of sides of each polygon. 3. Prove that the complements of a parallelogram which are about the diameter of any parallelogram are equal to each other. If any point /"be taken on the diagonal AC of a parallelogram A BCD, shew that the sum... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...said to be described about the first. PROPOSITION 43. THEOREM. The complements of the parallelograms which are about the 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 which AC passes,... | |
 | Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...have one of its angles equal to a given rectilineal angle. 43. The complements of the parallelograms which are about the 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... | |
 | Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...opposite angular points. PROPOSITION 43. THEOREM. The complements of the parallelograms about the diagonal of any parallelogram, are equal to one another. Let ABCD be a parallelogram, and KD, KB the complements of the parallelograms EH, GF about the diagonal AC. Then shall the complement... | |
 | University of Sydney - 1902 - 640 pages
...description of the method of proof called the Reductio ad Absurdum. 2. The complements of the parallelograms which are about the 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... | |
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The complements of the parallelograms, which are about the diameter of any parallelogram, are equal to one another. 
