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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... "
The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick - Side 128
av Royal Military Academy, Woolwich - 1853
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

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...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

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...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volum 5

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,...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

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...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables 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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

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...
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Euclid's Elements of geometry, transl. To which are added, algebraic ...

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...
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Elements of Geometry, Containing the First Six Books of Euclid

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

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...
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Alma Mater, Or, Seven Years at the University of Cambridge, Volum 1

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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