| John Mason Good - 1819
...similarly described upon four straight lines be proportionals, those straight lines shall be proportionals. **Prop. XXIII. Theor. Equiangular parallelograms have...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 - Liczba stron: 516
...PR, and that PR is equal to GH; AB is to CD, as EF to GH. If, therefore, four straight lines, &c. QED **PROP. XXIII. THEOR. EQUIANGULAR parallelograms have...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 - Liczba stron: 372
...PR is 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...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 - 1826 - Liczba stron: 180
...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... | |
| 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... | |
| 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... | |
| 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... | |
| Robert Simson - 1827 - Liczba stron: 513
...the sides. And with 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 edition,... | |
| John Playfair - 1829 - Liczba stron: 186
...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 by the sides... | |
| 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 the value... | |
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