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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 two (third and fourth) books of ... - Page 69
by Euclides - 1871

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...

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. Let ABCD be a parallelogram, of which the diameter is AC; and EH, GF parallelograms about AC, that is, through which...

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, are equal to one another. Let ABCD be a parallelogram, of which the diameter is AC: and EU,(sFthe parallelograms about AC, that is, throuyh...

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...

Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1872 - 376 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 XL VI. PROBLEM. To describe a square upon a given straight line....

The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - Student teachers - 1873 - 588 pages
...triangle ABC, and it has one of its angles CEF equal to the given angle D, A. TJ . — The complements about the diameter of any parallelogram, are equal to one another. Let ABCD be a parallelogram, of -which the diameter is AC, and EH, FG, the parallelograms about AC, and BK, KD, the...

The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 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...parallelogram, are 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...

Euclidian Geometry

Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...altitude. . •. all parallelograms, having equal bases and altitudes, are equal. PROPOSITION XXXIV. The complements of the parallelograms, which are about...of any parallelogram, are equal to one another. Let FGHK be a O-, and GK one of its diagonals, and SR, PN Os about the diagonal. Then FQ, QH, the remaining...