 | Robert Simson - Trigonometry - 1835 - 544 pages
...of its angles CEF equal to the given angle D. v•^v^— ' Which was to be done. PROP. XLIII. THEOR. The complements of the parallelograms, which are about...ABCD be a parallelogram, of which the diameter is AC.letEH, FG be the parallelograms about AC, that is, through which AC passes, and let BK, KD be the... | |
 | Euclid - 1835 - 540 pages
...THEOR. The parallelograms about the diameter of any pa- see N. rattelogram 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 the... | |
 | John Playfair - Euclid's Elements - 1835 - 336 pages
...B it into two equal parts ; wherefore ABCD is also double of the triangle EBC. PROP. XXXVI. THEOR. The complements of the parallelograms which are about the diameter of any parallelogram, are equivalent to one another. Let A BCD be a parallelogram of which the diameter is AC ; let EH, FG be... | |
 | John Playfair - Euclid's Elements - 1836 - 488 pages
...having one of its angles CEF equal to the given angle D. Which was to be done. PROF. 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 El figure ABCD, and... | |
 | Mathematics - 1836 - 488 pages
...the same base, and between the same parallels; the parallelogram is double of the triangle. XLIII. The complements of the parallelograms which are about...diameter of any parallelogram, are equal to one another. XLVII. In any right angled triangle, the square which is described upon the side subtending the right... | |
 | John Playfair - Geometry - 1836 - 148 pages
...THEOR. The complements of the parallelograms which are about the diagonal of any parallelogram, ate equal to one another. Let ABCD be a parallelogram, of which the diagonal is AC, and EH, FG the parallelograms about AC, that is, through which AC passes, and BH, DK,... | |
 | Andrew Bell, Robert Simson - Euclid's Elements - 1837 - 290 pages
...THEOREM. 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 . E is... | |
 | Robert Simson - Geometry - 1838 - 434 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...ABCD be a parallelogram, of which the diameter is AC, and EH, FG the parallelograms about AC, AH D that is, through which AC passes, and BK, KD the other... | |
 | 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...ABCD be a parallelogram, of which the diameter is AC ; and EH, GF parallelograms about AC, that is, through which AC passes : and BK, KD the other parallelograms... | |
 | 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...be a parallelogram, of which the "diameter is AC, and EH, GF the parallelograms about AC, that is, through which AC passes, and BK, KD the other parallelograms... | |
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The complements of the parallelograms, which are about the diameter of any parallelogram, are equal to one another. 
