 | John Martin Frederick Wright - Mathematics - 1836 - 776 pages
...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... | |
 | Mathematics - 1836 - 488 pages
...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 - Euclid's Elements - 1837 - 290 pages
...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 - Geometry - 1837 - 410 pages
...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 - Geometry - 1838 - 434 pages
...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... | |
 | English literature - 1840 - 528 pages
...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... | |
 | Education - 1840 - 468 pages
...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 - Geometry - 1841 - 378 pages
...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 - Euclid's Elements - 1842 - 332 pages
...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 - 316 pages
...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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Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides. 
