| John Playfair - 1819 - 333 sider
...equal to GH, AB is to CD, as EF to GH. If therefore four straight lines, &c. Q, ED PROP. XXIII. THEOR. **Equiangular parallelograms have to one another the...CF is the same with the ratio which is compounded** •f the ratios of their sides. DH Let BC, CG be placed in a straight line ; therefore DC and CE are... | |
| 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...CF be equiangular parallelograms having the angle** BCfD equal to the angle ECG ; the ratio of the parallelogram AC to the parallelogram CF is the same... | |
| 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...which is compounded of the ratios of their sides.** Prop. XXIV. Theor. The parallelograms about the diameter of any parallelogram, are similar to the whole,... | |
| Euclid, Robert Simson - 1821 - 516 sider
...equal to GH; AB is to CD, as EF to GH. If, therefore, four straight lines, &c. QED PROP. XXIII. THEOR. **EQUIANGULAR parallelograms have to one another the...which is compounded of the ratios of their sides.*** Lot AC, CF be equiangular parallelograms, having the angle BCD ^qual to the angle ECG: the ratio of... | |
| 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...is compounded of the ratios of their sides. Let AC,** С F be equiangular parallelograms, baring the angle BCD CEOMETRV. logram CF, is the same with the... | |
| Euclid, John Playfair - 1826 - 320 sider
...-} PROP. XXIII. THEOR, Equiangular parallelograms have to one another the ratio whieh is eompounded **of the ratios of their sides. Let AC, CF be equiangular...to the parallelogram CF is the same with the ratio** whieh is eompounded of the ratiog of their sides. Let BC, CG be plaeed in a straight line ; therefore... | |
| Euclides - 1826
...QED Deduction. PROPOSITION XXIII. THEOREM. Equiangular parallelograms are to one another in a ratio **compounded of the ratios of their sides. Let AC, CF,...equiangular parallelograms having the angle BCD equal to** ECG, then the parallelogram AC is to the parallelogram CF in a ratio compounded of the ratios of their... | |
| Euclid - 1826 - 180 sider
...QED Deduction, PROPOSITION XXIII. THEOREM. Equiangular parallelograms are to one another in a ratio **compounded of the ratios of their sides. Let AC, CF,...equiangular parallelograms having the angle BCD equal to** ECG, then the parallelogram AC is to the parallelogram CF in a ratio compounded of the ratios of their... | |
| 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...which is compounded of the ratios of their sides.** 3. The rectangle contained by the diagonals of any quadrilateral figure inscribed in a circle is equal... | |
| 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...which is compounded of the ratios of their sides.** 3. The rectangle contained by the diagonals of any quadrilateral figure inscribed in a circle is equal... | |
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