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" The complements of the parallelograms, which are about the diameter of any parallelogram, are equal to one another. "
Elements of Geometry;: Containing the First Six Books of Euclid, with a ... - Page 42
by John Playfair, Euclid - 1804 - 440 pages
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 pages
...triangle ABC, and having one of its angles CEF equal to the given angle DQEF PROPOSITION XLIII. THEOREM. The complements of the parallelograms, which are about...ABCD be a parallelogram, of which the diameter is AC: and EH,GFihe parallelograms about AC, that is, through which AC passes: also BK, KD the other parallelograms...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 pages
...triangle ABC, and having one of its angles CEF equal to the given angle DQEF PROPOSITION XLIII. THEOREM. The complements of the parallelograms, which are about...ABCD be a parallelogram, of which the diameter is AC: and EH, GFthe parallelograms about AC, that is, through which AC passes : also BK, KD the other parallelograms...
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Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1864 - 588 pages
...senes where k is the logarithm of a to the base e, and e is the series 1 + l + — + • + . . . . 10. The complements of the parallelograms which are about...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...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 pages
...ABC, and having one of its angles CEF equal to tire given angle B. «. EF PROPOSITION KLin. THEOREM. The complements of the parallelograms, which are about...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...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pages
...equal to a given triangle, and have one of its angles equal to a given rectilineal angle. Prop. 43. The complements of the parallelograms, which are about...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,...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

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....ABCD be a parallelogram, of which the diameter is AC; and EH, GF parallelograms about AC, that is, through which AC passes ; and BK, KD the other parallelograms...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...triangle ABC, and having one of its angles CEF equal to the given angle DQEF PROPOSITION 43. THEOREM. The complements of the parallelograms which are about the diameter of any parallelogram, are equal to out another. Let ABCD be a parallelogram, of which the diameter is AC ; and EH, GF parallelograms about...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pages
...CEF equal to tbe given angle DQEF PROPOSITION XLIH. THEOREM. Ths complements of the parallelogram*, which are about the diameter of any parallelogram,...ABCD be a parallelogram, of which the diameter is AC: and EU,(sFthe parallelograms about AC, that is, throuyh which AC passes: also BK, KD the other parallelograms...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1870 - 270 pages
...drawing BH parallel to FE, be found by Prop. 41 equal to the parallelogram FECG. , PROP. 43. — THEOR. The complements of the parallelograms which are about...the diameter of any parallelogram, are equal to one anotlier. DKM. — P. 34. The opposite sides and angles of parallelograms are equal, and the diameter...
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Elements of geometry, containing the first two (third and fourth ..., Part 1

Euclides - 1871 - 136 pages
...; prove that the triangle ADE is equal to the triangle ABC. 10. Prove that a pair of the diagonals of the parallelograms, which are about the diameter of any parallelogram, are parallel to each other. PROPOSITION XLVI. PROBLEM. To describe a square upon a given straight line....
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