| Euclides - 1845
...to CD, as EF to GH. (v. 7-) If, therefore, four straight lines, &c. QED PROPOSITION XXIII. THEOREM. **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... | |
| Euclid, James Thomson - 1845 - 352 sider
...and that PR is equal to GH; therefore AB : CD : : EF : GH ; wherefore, &c. PROP. XXIII. THEOR. — **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 angles G BCD, ECG equal: AC has to... | |
| Euclid - 1845 - 199 sider
...; AB is to CD, as EF to GH. If therefore four straight lines, &c. QED PROPOSITION XXIII. THEOB. — **Equiangular parallelograms have to one another the ratio which is compounded of the ratios of** their sides. BOOK VI. PROP. XXIV. • 14. 1. t 12. 6. t 12. 6. A. Def. 5. V 11.5. Let BC, CG be placed... | |
| John Playfair - 1846 - 317 sider
...to CD, so is EF to PR, and because PR is equal to GH, AB is to CD, as EF to GH. PROP. XXIII. THEOR. **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 ;... | |
| Euclides - 1848
...straight lines be proportionals, those straight lines shall be proportionals. PROP. XXIII. THEOREM. **Equiangular parallelograms have to one another the ratio which is compounded of the ratios of** their sides. PROP. XXIV. THEOREM. The parallelograms about the diameter of any parallelogram, are similar... | |
| 1851
...have their sides about their equal angles reciprocally proportional. .3. Equiangular paralellograms **have to one another the ratio which is compounded of the ratios of** their sides. SECTION IV. 1. Upon a given base to describe an isosceles triangle equal to a given rectangle.... | |
| Sir James Kay-Shuttleworth - 1853 - 500 sider
...to one angle of the other, have their sides about their equal angles reciprocally proportional. 3. **Equiangular parallelograms have to one another the ratio which is compounded of the ratios of** their sides. Section 4. 1. Upon a given base to describe an isosceles triangle equal to a given rectangle.... | |
| Royal Military Academy, Woolwich - 1853
...to GH; ABis to CD, as EF to GIL If therefore four straight lines, etc. QED PROPOSITION XXIII. THEOU. **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... | |
| Euclides - 1853
...THEOE. If two parallelograms have one angle of the one equal to one angle of the other : then they shall **have to one another the ratio which is compounded of the ratios of** each pair of sides about the equal angles. Let ABCD, EFGH be two parallelograms, having the angle ABC... | |
| Sir James Kay-Shuttleworth - 1853 - 500 sider
...their sides about their equal angles reciprocally proportional. 3. Equiangular parallelograms hare **to one another the ratio which is compounded of the ratios of** their sides. Section 4. 1. Upon a given base to describe an isosceles triangle equal to a given rectangle.... | |
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