 | Euclides - 1838 - 264 pages
...its angles CEF equal to the given angle D. Wliica was to be done. PROP. XLIII. THEOR. The complement of the parallelograms 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 EH, GF parallelograms about AC, that... | |
 | Euclides - Geometry - 1841 - 378 pages
...having one of its angles CEF equal to the given angle D. Which was to be done. -• PROP. XLIII. THEOR. The complements of the parallelograms which are about...diameter of any parallelogram, are equal to one another. Let ABCD be a parallelogram, of which the "diameter is AC, and EH, GF the parallelograms about AC,... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...will apply to the problem : to make a triangle equivalent to a given rectangle. PROP. XLIII. THEOR. . The complements of the parallelograms which are about...diameter of any parallelogram, are equal to one another. Let ABCD be a parallelogram of which the diameter is AC ; let EH, FG be the parallelograms about AC,... | |
 | Euclides - 1842 - 316 pages
...equivalent to the sum of the two triangles ; that is, to the trapezoid ABC r>. QED PROP. XLIII. THEOR. THE complements of the parallelograms, which are about the diameter of any parallelogram, are equal or equivalent to one another. Let ABC D be a parallelogram, of which the diameter is AC; and EH, FG,... | |
 | William Pease - Geometry - 1843 - 80 pages
...parallel to AE, cutting AD in H, and EF in I ; when AHIE shall be the rectangle required. Reason : because the complements of the parallelograms which are about...diameter of any parallelogram, are equal to one another. Vide Prop. XLIII, Bk. I. Euclid ; («. e. AF being the diameter,) the complement BEIG is equal to the... | |
 | Euclides - 1845 - 546 pages
...triangle ABC, and having one of its angles CEF equal to the given angle DQKF PROPOSITION XLIII. THEOREM. The complements of the parallelograms which are about...diameter of any 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... | |
 | Euclid - Geometry - 1845 - 218 pages
...one of its angles CEF equal to the given angle D. Which was to be done. PROPOSITION XLIII. THEOB. — The complements of the parallelograms, which are about...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, that... | |
 | Euclides - 1846 - 292 pages
...given triangle ABC, and having one of its angles CEF equal to the given angle DQEF PROP. XLIII. THEOR. The complements of the parallelograms, which are about...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, that... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...will apply to the problem : to make a triangle equivalent to a given rectangle. PROP. XLIII. THEOR. The complements of the parallelograms which are about...diameter of any parallelogram, are equal to one another. Let ABCD be a parallelogram of which the diameter is AC ; let EH, FG be the parallelograms about AC,... | |
 | London univ - 1846 - 326 pages
...Parallelograms upon the same base and between the same parallels are equal to one another. 7. Show that the complements of the parallelograms which are...about the diameter of any .parallelogram are equal. 8. In any right-angled triangle, prove that the square which is described upon the side subtending... | |
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The complements of the parallelograms, which are about the diameter of any parallelogram, are equal to one another. 
