 | Euclides - 1816 - عدد الصفحات: 588
...of the sides. And to this demonstration agrees the enunciation which is at present in the text, viz. equiangular parallelograms have to one another the ratio which is compounded of the ratios of the sides ; for the vulgar reading, " which is compounded of their sides," is absurd. But, in this... | |
 | John Playfair - 1819 - عدد الصفحات: 350
...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 - عدد الصفحات: 354
...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 - عدد الصفحات: 800
...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 - عدد الصفحات: 514
...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 - عدد الصفحات: 1046
...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 - عدد الصفحات: 326
...-} 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 - عدد الصفحات: 226
...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 - عدد الصفحات: 234
...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 Frederick Wright - 1827 - عدد الصفحات: 344
...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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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 : the ratio of the parallelogram AC to the parallelogram... 
