 | Edward Atkins - 1874 - 428 pages
...(Const.). Proposition 43.— Theorem. 17ie 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... | |
 | Euclides, James Hamblin Smith - Geometry - 1876 - 376 pages
...rectangle, which is of the same altitude with, and equal to, the given triangle. PROPOSITION XLIII. THEOREM. The, complements of the parallelograms, which are...another. Let ABCD be a O, of which BD is a diagonal, ar.d EG, HK the Os about BD, that is, through which BD passes, and AF, FC the other Os, which make... | |
 | Education Department,London - 1876 - 1010 pages
...if О be the middle point of the baee, the triangle FOG is equal to three times the triangle ADE. 3. The complements of the parallelograms which are about...diameter of any parallelogram are equal to one another. If a parallelogram be divided into four equal parallelograms by lines drawn parallel to its sides,... | |
 | Henry Major - 1876 - 784 pages
...lines, make the alternate angles equal to each other ; these two straight lines shall be parallel. 2. The complements of the parallelograms, which are about...diameter of any parallelogram, are equal to one another. 3. Through a given point A draw a line, so that the perpendiculars upon it from two other given points... | |
 | Euclides, James Hamblin SMITH - 1876 - 382 pages
...rectangle, which is of the same altitude "^ and equal to, the given triangle. PROPOSITION XLIII. THEOREM. The complements of the parallelograms, which are about...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... | |
 | 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 - 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... | |
 | Great Britain. Education Department. Department of Science and Art - 1877 - 562 pages
...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 - 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... | |
 | Euclides - 1878 - 398 pages
...rectangle, which is of the same altitude with, and equal to, the given triangle. PROPOSITION XLIII. THEOREM. The complements of the parallelograms, which are about...EG, HK the Os about BD, that is, through which BD and AF, FC the other Os, which make up the whole figure ABCD, and which are .'. called the Complements.... | |
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The complements of the parallelograms, which are about the diameter of any parallelogram, are equal to one another. 
