 | War office - 1861 - 714 pages
...interior angles on the same side together equal to two right angles. 2. The complements of parallelograms which are about the diameter of any parallelogram are equal to one another. •with the square of half the line bisected is equal to the square of the straight line made up of... | |
 | Euclides - 1862 - 172 pages
...angles CEF equal to the given angle DQEF PROP. XLIII.— THEOREM. The complements of the parallelograms which are about the diameter of any parallelogram, are equal to one another. (References — Prop. i. 34 ; ax. 2, 3.) Let ABCD be a parallelogram, of which the diameter is AC ;... | |
 | University of Oxford - Education, Higher - 1863 - 328 pages
...together with twice the rectangle contained by the parts. 4. The complements of the parallelograms which are about the diameter of any parallelogram are equal to one another. 5. If the square described on one of the sides of a triangle be equal to the squares described on the... | |
 | Euclides - 1864 - 262 pages
...CEF equal to the given angle DQEF 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,GFihe parallelograms about AC, that is, through which AC passes:... | |
 | Euclides - 1864 - 448 pages
...CEF equal to the given angle DQEF 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, GFthe parallelograms about AC, that is, through which AC passes... | |
 | Woolwich roy. military acad - 1864 - 588 pages
...the base e, and e is the series 1 + l + — + • + . . . . 10. The complements of the parallelograms which are about the diameter of any parallelogram are equal to one another. 11. Define a circle. If a point be taken within a circle from which there can be drawn more than two... | |
 | Robert Potts - 1865 - 528 pages
...equal to tire given angle B. «. EF PROPOSITION KLin. THEOREM. The complements of the parallelograms, which are about the diameter of any parallelogram, are equal to one another. Let AB CD be a parallelogram, of which the diameter is AC : and EH, GF the parallelograms about AC, that... | |
 | Euclides - 1865 - 402 pages
...of its angles equal to a given rectilineal angle. Prop. 43. The complements of the parallelograms, which are about the diameter of any parallelogram, are equal to one another. Prop. 44. To a given straight line to apply a parallelogram, which shall be equal to a given triangle,... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...given angle DQEF PROPOSITION 43. THEOREM. The complements of the parallelograms which are about tJte diameter of any parallelogram, are equal to one another. Let ABCD be a parallelogram, of which the diameter is AC; and EH, GF parallelograms about AC, that is, through which AC passes ;... | |
 | Robert Potts - 1868 - 434 pages
...one of its angles CEF equal to tbe given angle DQEF PROPOSITION XLIH. THEOREM. Ths complements of the parallelogram*, which are about the diameter of any...equal to one another. Let ABCD be a parallelogram, of which the diameter is AC: and EU,(sFthe parallelograms about AC, that is, throuyh 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. 
