| Robert Potts - 1876 - 403 páginas
...angles of a parallelogram, are equal to one another. 4. The complements of the parallelograms,which **are about the diameter of any parallelogram, are equal to one another.** 5. To describe a square on a given straight line. 6. Let ABCD be a quadrilateral figure whose opposite... | |
| Great Britain. Education Department. Department of Science and Art - 1877
...right line) are either two right angles, or are together equal to two right angles. (8.) 9. Prove that **the complements of the parallelograms, which are about...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... | |
| Edward Atkins - 1877
...DQEF Proposition 43.— Theorem. The complements of the parallelograms which are about the diagonal **of any parallelogram are equal to one another. Let ABCD be a parallelogram, of which the** diagonal is AC; and EH, GF parallelograms about AC, that is, through which AC passes ; and BK, KD the... | |
| 1878
...of every triangle are together equal to two right angles. Find the angle of u regular pentagon. 2. **The complements of the parallelograms which are about...diameter of any parallelogram are equal to one another.** Two straight lines parallel to the sides of a parallelogram divide it into four parallelograms ; if... | |
| J T. Amner - 1878
...one-sixteenth of a given triangle, and having the same angles. 3. The complements of the parallelogram **which are about the diameter of any parallelogram are equal to one another.** State and prove the converse of this proposition. 4. In any right-angled triangle the square on the... | |
| Moffatt and Paige - 1879
...triangle ABC, and having one of its angles CEF equal to the given angle D. QEF Proposition XLIII. Theorem. **The complements of the parallelograms, which are about...ABCD be a parallelogram, of which the diameter is AC,** and EH, GF the parallelograms about AC, that is, through which AC passes ; also let BK, KD be the other... | |
| Euclides - 1879
...an angle of the triangle. Show that the perimeters are likewise equal. PROPOSITION XLIII, THEOREM. **The complements of the parallelograms which are about...parallelogram are equal to one another. Let ABCD be a** / 7, of which AC is a diameter, and EH, GF the / — 7s about AC (that is, through which AC passes)... | |
| W J. Dickinson - 1879 - 36 páginas
...two-thirds of a right angle, the perimeters of the parallelogram and the triangle are also equal 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... | |
| Edward Harri Mathews - 1879
...two exterior angles of a triangle are together greater than two right angles. 2. The complements of **parallelograms, which are about the diameter of any parallelogram, are equal to** each other. What is the greatest value which these complements, for a given parallelogram, can have... | |
| Euclid, F. B. Harvey - 1880 - 119 páginas
...parallelogram = the triangle ABC, and having the angle CEF = the angle D, QEF PROP. XLIII. THEOREM. **The complements of the parallelograms which are about...one another. Let ABCD be a parallelogram, of which** AC is a diameter, with the parallelograms AEKH and KGCF about the diameter, ie through which the diameter... | |
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