| John Playfair - 1836 - 114 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 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... | |
| 1836 - 472 sider
...straight lines be proportionals, those straight lines shall be proportionals. XXIII. Equian. guiar **parallelograms have to one another the ratio which is compounded of the ratios of** their sides. XXIV. The parallelograms about the diameter of any parallelogram, are similar to the whole,... | |
| Euclid, James Thomson - 1837 - 390 sider
...equal to GH; therefore AB : CD : : EF : GH ; wherefore, if four straight lines, &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 BCD, ECG equal : AC has to... | |
| Andrew Bell - 1837 - 240 sider
...squares are proportional, and conversely. For squares are similar figures. PROPOSITION XXIII. THEOREM. **Equiangular parallelograms have to one another the ratio which is compounded of the ratios of** their sides. Let AC, CF, he equiangular parallelograms, having the angle BCD equal to the angle ECG... | |
| Euclid, Robert Simson - 1838 - 416 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 ratio which is compounded of the ratios of** their sides.* Let AC, CF be equiangular parallelograms, having the angle * See Note. BCD equal to the... | |
| 1840
...the Moon's rotation exactly equal to the motion in its orbit. WEDNESDAY. Jan. 8 ...... 9 to llj. 1. **EQUIANGULAR parallelograms have to one another the ratio which is compounded of the ratios of** their sides. 2. Every solid angle is contained by plane angles which are together less than four right... | |
| 1840
...at the heginning of the year. SENATE-HO.USE EXAMINATION. WEDNESDAY. Jan. 8, 1840 ____ 9 to 1IJ. 1. **EQUIANGULAR parallelograms have to one another the ratio which is compounded of the ratios of** their sides. 2. Every solid angle is contained hy plane angles which tire together less than four right... | |
| Euclides - 1841 - 351 sider
...therefore* AB is to CD, as EF to GH. If, therefore, four straight lines, SEc. QED 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:... | |
| John Playfair - 1842 - 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 - 1842
...c, D be four straight lines, and if л : в : : c : D, then A* : B* : : c* : D*. PROP. XXIII. THEOR. **EQUIANGULAR parallelograms have to one another the ratio which is compounded of the** ratio of their sides. Let AC, CF be equiangular parallelograms, having the angle BCD equal to the angle... | |
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