 | 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 - 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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The complements of the parallelograms, which are about the diameter of any parallelogram, are equal to one another. 
