| Education Department,London - 1876 - 1010 pages
...triangle equal to one sixteenth of a given triangle and having the same angles. 3. The complementa of the **parallelogram which are about the diameter of any parallelogram are equal to one another.** State and prove the сопл-erse of this proposition. 4. In any right angled triangle the square on... | |
| Euclides, James Hamblin SMITH - 1876 - 382 pages
...and equal to, the given triangle. PROPOSITION XLIII. THEOREM. The complements of the parallelograms, **which are about the diameter of any pa/rallelogram, are equal to one another.** JLet ABCD be a O, of which BD is a diagonal, and EG, HK the Os about BD, that is, through which BD... | |
| Edward Atkins - 1876 - 130 pages
...DQEF Proposition 43. — Theorem. The complements of the parallelograms which are about iha 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... | |
| Robert Potts - Geometry, Plane - 1876 - 446 pages
...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... | |
| Edward Atkins - 1877 - 72 pages
...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 ;... | |
| Great Britain. Education Department. Department of Science and Art - 1877 - 562 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... | |
| J T. Amner - 1878 - 226 pages
...triangle equal to 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... | |
| Civil service - 1878 - 228 pages
...to two right angles. Find the angle of u regular pentagon. 2. The complements of the parallelograms **which are about the 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... | |
| Moffatt and Paige - 1879 - 474 pages
...equal to the given angle D. QEF Proposition XLIII. Theorem. The complements of the parallelograms, **which are about the diameter of any parallelogram,...equal to one another. Let ABCD be a parallelogram,** of which the diameter is AC, and EH, GF the parallelograms about AC, that is, through which AC passes... | |
| Euclides - 1879 - 146 pages
...the perimeters are likewise equal. PROPOSITION XLIII, THEOREM. The complements of the parallelograms **which are about the diameter of any 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)... | |
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