| John Playfair - Euclid's Elements - 1842 - 332 pages
...triangle equivalent to a given rectangle. 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... | |
| William Pease - Geometry - 1843 - 80 pages
...; when AHIE shall be the rectangle required. Reason : because the complements of the parallelograms **which are about the 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 - Geometry - 1845 - 218 pages
...angle D. Which was to be done. PROPOSITION XLIII. THEOB. — 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 - 1845 - 544 pages
...CEF equal to the given angle DQKF PROPOSITION XLIII. 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, GF the parallelograms about AC, that is, through mhich AC passes:... | |
| Euclides - 1846 - 292 pages
...angles CEF equal to the given angle DQEF 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, that is, through which AC passes,... | |
| Euclides - 1847 - 128 pages
...L FCG = gn. L E. — QEF PROP. XLIII. THEOR. GEN. ENUN. — The complements of the parallelograms, **which are about the 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 - 52 pages
...angles equal to a given rectilineal angle. PROP. XLIII. THEOREM. The complements of the parallelograms, **which are about the 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... | |
| Euclid, Thomas Tate - 1849 - 120 pages
...angles CEF equal 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...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 - 1852 - 152 pages
...The angle FEC will be the required angle.] PEOP. XLIII. THEOE. 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, FGr the parallelograms about AC, that is through which AC passes,... | |
| Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...given angle D. Which was to be done. PROPOSITION 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, that is, through which AC passes,... | |
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