| 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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