| John Playfair - 1846 - 317 páginas
...XXIV. THEOR. The parallelograms about the diameter of any parallelogram, are similar to the whole, and **to one another. Let ABCD be a parallelogram, of which the diameter is AC** ; and EG, HK the parallelograms about the diameter : the parallelograms EG, HK are similar, both to... | |
| Euclides - 1847
...which = the gn. Dm ABCD, and having the L FCG = gn. L E. — QEF PROP. XLIII. THEOR. GEN. ENUN. — **The complements of the parallelograms, which are about...diameter of any parallelogram, are equal to one another.** PART. ENUN. — Let ABCD be aam, of which the diam. is AC ; EH, FG the AH » am8 about AC, ie through... | |
| Euclides - 1848
...given triangle, and have one of its angles equal to a given rectilineal angle. PROP. XLIII. THEOREM. **The complements of the parallelograms, which are about...diameter of any parallelogram, are equal to one another.** PROP. XLIV. PROBLEM. To a given straight line to apply a parallelogram, which shall be equal to a given... | |
| Euclides, Thomas Tate - 1849 - 108 páginas
...to the given angle D. Which was to be done. PROP. XLIII. THEOR. The complements of the parallelogram **which are about the diameter of any parallelogram,...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 - 1852
...equal to KL, touch the arc F. Join FE. The angle FEC will be the required angle.] PEOP. XLIII. THEOE. **The complements of the parallelograms, which are about...ABCD be a parallelogram, of which the diameter is AC,** and EH, FGr the parallelograms about AC, that is through which AC passes, and BK, KD, the other parallelograms... | |
| Royal Military Academy, Woolwich - 1853
...having one of its angles CEF equal to the given angle D. Which was to be done. PROPOSITION 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... | |
| Euclides - 1853
...having one of its angles CEF equal to the given angle D. Which was to be done. PROP. XLIII. — THEOREM. **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 - 1853 - 147 páginas
...be done. PROPOSITION XLIII. — THEOREM. The complements of the parallelograms, which are about (lie **diameter of any parallelogram, are equal to one another....abcd be a parallelogram, of which the diameter is ac,** and eh, fg, the pa- a , h d. rallelograms about ac, that is, through which ac passes, and bk, kd, the... | |
| Cambridge univ, exam. papers - 1854
...(2), 8in"Z> = cos EXAMINATION PAPERS FOR THE MATHEMATICAL TRIPOS 1854. TUESDAY, Jan. 3. 9... 12. 1 . **THE complements of the parallelograms, which are about...diameter of any parallelogram, are equal to one another.** If J5T be the common angular point of these parallelograms, and BD the other diameter, the difference... | |
| William Walton, Charles Frederick Mackenzie - 1854 - 225 páginas
...proportional to The equations (5) and (6) become therefore and aa TUESDAY, Jan. 3, 1854. 9... 12. 1. **THE complements of the parallelograms, which are about...diameter of any parallelogram, are equal to one another.** If K be the common angular point of these parallelograms, and BD the other diameter, the difference... | |
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