 | John Martin Frederick Wright - 1836 - 776 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 ratio which is compounded of the ratios of their sides. 3. The rectangle contained by the diagonals of any quadrilateral figure inscribed in a... | |
 | John Playfair - 1836 - 148 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 - 488 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,... | |
 | Andrew Bell - 1837 - 290 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, James Thomson - 1837 - 410 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... | |
 | Robert Simson - 1838 - 434 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 - 468 sider
...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... | |
 | 1840 - 528 sider
...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... | |
 | Euclides - 1841 - 378 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 - 332 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 ;... | |
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Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides. 
