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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 CF... "
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Side 166
av Euclides - 1816 - 528 sider
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 350 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...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 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...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volum 5

John Mason Good - 1819 - 800 sider
...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,...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1821 - 514 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...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 1046 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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1826 - 326 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...
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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826 - 226 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...
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 234 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...
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Alma mater; or, Seven years at the University of Cambridge. By a Trinity-man ...

John Martin F. Wright - 1827 - 632 sider
...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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Alma Mater, Or, Seven Years at the University of Cambridge, Volum 1

John Martin Frederick Wright - 1827 - 344 sider
...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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