| 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,... | |
| 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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