 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...given angle D. Which was to be done. Proposition XL/77. Theorem. The complements of the parallelograms, which are about the diameter of any parallelogram,...equal to one another. Let ABCD be a parallelogram, of which the diameter is AC, and EH, FG, the parallelograms about AC, that is through which AC passes,... | |
 | Euclides - 1826 - 226 pages
...perpendicular the aggregate of the perpendiculars drawn from the vertical angles unto the diagonal. 3. If the sides of a parallelogram be bisected, the...upon the same base, or upon equal bases : thus let there be two triangles ABC, DEF, which are equal, and between the same parallels AD, BF, * the bases... | |
 | John Playfair - Circle-squaring - 1826 - 326 pages
...given angle D. Whieh was to be done. PROP. XLIII. THEOR. The eomplements of the parallelograms whieh are about the diameter of any parallelogram, are equal to one another. Let ABCD be a parallelogram of whieh the diameter is AC; let EH,FGbe the parallelograms about AC, that is, through whieh AC passe?,... | |
 | John Playfair - Euclid's Elements - 1833 - 346 pages
...the given angle D. Which was to be done. PROP. XLIII. THEOR. The complements of the parallelograms which are about the diameter of any parallelogram, are equal to one anotJier. Let ABCD be a parallelogram of which the diameter is AC ; let EH, FG be the parallelograms... | |
 | Euclid - 1835 - 540 pages
...angle D. V—"Y"*<' Which was to be done. PROP. XLIII. THEOR. The complements of the parallelograms, which are about the diameter of any parallelogram,...equal to one another. Let ABCD be a parallelogram, of which the diameter is AC, let EH, FG be the parallelograms about AC, that is, through which AC passes,... | |
 | John Playfair - Euclid's Elements - 1836 - 488 pages
...the given angle D. Which was to be done. PROF. XLIII. THEOR. The complements of the parallelograms which are about the diameter of any parallelogram,...equal to one another. Let ABCD be a parallelogram, of which the diameter is AC ; let EH, FG be the parallelograms about AC, that is, through which AC... | |
 | Mathematics - 1836 - 488 pages
...parallels; the parallelogram is double of the triangle. XLIII. The complements of the parallelograms which are about the 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... | |
 | Robert Simson - Geometry - 1838 - 434 pages
...the given angle D. Which was to be done. PROP. XLIII. THEOR. The complements of the parallelograms which are about the diameter of any parallelogram,...equal to one another. Let ABCD be a parallelogram, of which the diameter is AC, and EH, FG the parallelograms about AC, AH D that is, through which AC... | |
 | Euclides - 1838 - 264 pages
...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,...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 AC passes... | |
 | Euclides - Geometry - 1841 - 378 pages
...given angle D. Which was to be done. -• PROP. XLIII. THEOR. The complements of the parallelograms which are about the diameter of any parallelogram,...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 which AC passes,... | |
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