| 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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