| 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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