 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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.... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | Braithwaite Arnett - 1874 - 130 pages
...equal to the angle contained by the two sides equal to them of the other. 2. Define a parallelogram. The complements of the parallelograms which are about...diameter of any parallelogram are equal to one another. In the case of a square, if the squares about the diameter are 169 and 625 square feet in area, what... | |
 | Euclides - 1874 - 120 pages
...Construct a square which shatt be equal to a given rightangled isosceles triangle. PROPOSITION 43. THEOREM. The complements of the parallelograms which are about...diameter of any parallelogram, are equal to one another. j Let ABCD be a parallelogram, of which the '• diameter is AC; and EH, GF parallelograms about AC,... | |
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The complements of the parallelograms, which are about the diameter of any parallelogram, are equal to one another. 
