 | John Playfair - 1842 - 332 páginas
...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...parallelograms about AC, that is, through which AC passes, and let BK, KD be the other parallelograms, which make up the whole figure ABCD, and are therefore... | |
 | Euclides - 1842 - 316 páginas
...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 Chambers, Robert Chambers - 1842 - 938 páginas
...explanation with the annexed figure. Let ABCD be a parallele- . ,. „ gram, of which the diagonal is AC ; let EH, FG, be the parallelograms about AC, that is, through which AC passes, and BK, KD, the other parallelograms which make up the whole figure ABCD, which are therefore... | |
 | William Pease - 1843 - 80 páginas
...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... | |
 | Euclid - 1845 - 218 páginas
...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...ABCD be a parallelogram, of which the diameter is AC, and EH, FG the parallelograms about AC, that is, through which AC passes ; and BK, KD the other parallelograms... | |
 | Euclides - 1845 - 546 páginas
...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...ABCD be a parallelogram, of which the diameter is AC: and EH, GF the parallelograms about AC, that is, through mhich AC passes: also BK, KD the other parallelograms... | |
 | Euclides - 1846 - 292 páginas
...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...ABCD be a parallelogram, of which the diameter is AC, and EH, FG the parallelograms about AC, that is, through which AC passes, and BK, KD the other parallelograms... | |
 | Great Britain. Admiralty - 1846 - 128 páginas
...equal bases and to-wards the same parts, are between the same parallels PROP. XXXVII. THEOR. 43.1 Eu. The complements of the parallelograms which are about the diameter of any parallelo-gram, are equal to each other. Let ABCD be a /—7 m , AC its diam.; and EAHK, GKFC, /—T" about AC, that is, through... | |
 | Great Britain. Admiralty - 1846 - 128 páginas
...equal bases and towards the same parts, are between the same parallels PROP. XXXVII. THEOR. 43. lEu. The complements of the parallelograms which are about the diameter of any parallelogram, are equal to each other. Let ABCD be a /—7 m , AC its diam.; and EAHK, GKFC, /—7°" about AC, that is, through... | |
 | London univ - 1846 - 326 páginas
...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... | |
| |
The complements of the parallelograms, which are about the diameter of any parallelogram, are equal to one another. 
