| John Mason Good - 1819
...four straight lines be proportionals, those straight lines shall be proportionals. Prop. XXIII. Theor. **Equiangular parallelograms have to one another the ratio which is compounded of the ratios of** their sides. Prop. XXIV. Theor. The parallelograms about the diameter of any parallelogram, are similar... | |
| John Playfair - 1819 - 317 sider
...to CD, as EF to GH. If therefore four straight lines, &c. Q, E. D, PROP. XXIII. THEOR. Equiangnlar **parallelograms have to one another the ratio which is compounded of the ratios of** their sides. Let AC, CF be equiangular parallelograms having the angle BCfD equal to the angle ECG... | |
| Peter Nicholson - 1825 - 372 sider
...equal to GH ; AB is to CD, as EF to GH. If therefore four straight lines, &c. QED PROP. XXJIL THEOR, **Equiangular parallelograms have to one another the ratio which is compounded of the ratios of** their sides. Let AC, С F be equiangular parallelograms, baring the angle BCD CEOMETRV. logram CF,... | |
| John Martin Frederick Wright - 1827
...which the other sides of the triangle have to one another. Shew that the converse is also true. 2. **Equiangular parallelograms have to one another the ratio which is compounded of the ratios of** their sides. 3. The rectangle contained by the diagonals of any quadrilateral figure inscribed in a... | |
| John Martin F. Wright - 1827
...which the other sides of the triangle have to one another. Shew that the converse is also true. 2. **Equiangular parallelograms have to one another the ratio which is compounded of the ratios of** their sides. 3. The rectangle contained by the diagonals of any quadrilateral figure inscribed in a... | |
| John Playfair - 1829 - 186 sider
...duplicate ratio of that which their homologous sides have to each other. ED. PROPOSITION XXIII. THEOREM. **Equiangular parallelograms have to one another the ratio which is compounded of the ratios of** their sides about the equal angles ; " that is, they are to one another as the rectangles contained... | |
| John Martin Frederick Wright - 1831
...axis intercepted between the origin and the normal. TRINITY COLLEGE, 1829. 1 . EQUIANGULAR / — 73 **have to one another the ratio which is compounded of the ratios of** their sides. 2. If two straight lines be J_ to the same plane, they are || to one another. 3. Required... | |
| 1831
...and join AB and DE. The parallelograms CF and CO are evidently equiangular ; they have, therefore, **to one another the ratio which is compounded of the ratios of** their sides (23 of VI); that is, the ratio which is IMPROVED MODE OF PRESERVING BEBH FROM SOCRINC.... | |
| Euclid - 1835 - 513 sider
...AB is to CD, as EF to GH. " If, therefore, four straight lines, &c. QED PROP. XXIII. THEOR. Sec N. **Equiangular parallelograms have to one another the ratio which is compounded of the ratios of** their sides. Let AC, CF be equiangular parallelograms, having the angle BCD equal to the angle ECG... | |
| John Martin Frederick Wright - 1836
...which the other sides of the triangle have to one another. Shew that the converse is also true. 2. **Equiangular parallelograms have to one another the ratio which is compounded of the ratios of** their sides. 3. The rectangle contained by the diagonals of any quadrilateral figure inscribed in a... | |
| |